---
_id: '2331'
abstract:
- lang: eng
text: We present a review of recent work on the mathematical aspects of the BCS
gap equation, covering our results of Ref. 9 as well our recent joint work with
Hamza and Solovej and with Frank and Naboko, respectively. In addition, we mention
some related new results.
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Hainzl C, Seiringer R. Spectral properties of the BCS gap equation of superfluidity.
In: World Scientific Publishing; 2008:117-136. doi:10.1142/9789812832382_0009'
apa: 'Hainzl, C., & Seiringer, R. (2008). Spectral properties of the BCS gap
equation of superfluidity (pp. 117–136). Presented at the QMath: Mathematical
Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789812832382_0009'
chicago: Hainzl, Christian, and Robert Seiringer. “ Spectral Properties of the BCS
Gap Equation of Superfluidity,” 117–36. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0009.
ieee: 'C. Hainzl and R. Seiringer, “ Spectral properties of the BCS gap equation
of superfluidity,” presented at the QMath: Mathematical Results in Quantum Physics,
2008, pp. 117–136.'
ista: 'Hainzl C, Seiringer R. 2008. Spectral properties of the BCS gap equation
of superfluidity. QMath: Mathematical Results in Quantum Physics, 117–136.'
mla: Hainzl, Christian, and Robert Seiringer. Spectral Properties of the BCS
Gap Equation of Superfluidity. World Scientific Publishing, 2008, pp. 117–36,
doi:10.1142/9789812832382_0009.
short: C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
conference:
name: 'QMath: Mathematical Results in Quantum Physics'
date_created: 2018-12-11T11:57:02Z
date_published: 2008-08-01T00:00:00Z
date_updated: 2021-01-12T06:56:50Z
day: '01'
doi: 10.1142/9789812832382_0009
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0802.0446
month: '08'
oa: 1
page: 117 - 136
publication_status: published
publisher: World Scientific Publishing
publist_id: '4595'
quality_controlled: 0
status: public
title: ' Spectral properties of the BCS gap equation of superfluidity'
type: conference
year: '2008'
...
---
_id: '2332'
abstract:
- lang: eng
text: We present a rigorous proof of the appearance of quantized vortices in dilute
trapped Bose gases with repulsive two-body interactions subject to rotation, which
was obtained recently in joint work with Elliott Lieb.14 Starting from the many-body
Schrödinger equation, we show that the ground state of such gases is, in a suitable
limit, well described by the nonlinear Gross-Pitaevskii equation. In the case
of axially symmetric traps, our results show that the appearance of quantized
vortices causes spontaneous symmetry breaking in the ground state.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases.
In: World Scientific Publishing; 2008:241-254. doi:10.1142/9789812832382_0017'
apa: 'Seiringer, R. (2008). Vortices and Spontaneous Symmetry Breaking in Rotating
Bose Gases (pp. 241–254). Presented at the QMath: Mathematical Results in Quantum
Physics, World Scientific Publishing. https://doi.org/10.1142/9789812832382_0017'
chicago: Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating
Bose Gases,” 241–54. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0017.
ieee: 'R. Seiringer, “Vortices and Spontaneous Symmetry Breaking in Rotating Bose
Gases,” presented at the QMath: Mathematical Results in Quantum Physics, 2008,
pp. 241–254.'
ista: 'Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating
Bose Gases. QMath: Mathematical Results in Quantum Physics, 241–254.'
mla: Seiringer, Robert. Vortices and Spontaneous Symmetry Breaking in Rotating
Bose Gases. World Scientific Publishing, 2008, pp. 241–54, doi:10.1142/9789812832382_0017.
short: R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
conference:
name: 'QMath: Mathematical Results in Quantum Physics'
date_created: 2018-12-11T11:57:02Z
date_published: 2008-12-30T00:00:00Z
date_updated: 2021-01-12T06:56:50Z
day: '30'
doi: 10.1142/9789812832382_0017
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0801.0427
month: '12'
oa: 1
page: 241 - 254
publication_status: published
publisher: World Scientific Publishing
publist_id: '4594'
quality_controlled: 0
status: public
title: Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases
type: conference
year: '2008'
...
---
_id: '2374'
abstract:
- lang: eng
text: A lower bound is derived on the free energy (per unit volume) of a homogeneous
Bose gas at density Q and temperature T. In the dilute regime, i.e., when a3 1,
where a denotes the scattering length of the pair-interaction potential, our bound
differs to leading order from the expression for non-interacting particles by
the term 4πa(2 2}-[ - c]2+). Here, c(T) denotes the critical density for Bose-Einstein
condensation (for the non-interacting gas), and [ · ]+ = max{ ·, 0} denotes the
positive part. Our bound is uniform in the temperature up to temperatures of the
order of the critical temperature, i.e., T ~ 2/3 or smaller. One of the key ingredients
in the proof is the use of coherent states to extend the method introduced in
[17] for estimating correlations to temperatures below the critical one.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Free energy of a dilute Bose gas: Lower bound. Communications
in Mathematical Physics. 2008;279(3):595-636. doi:10.1007/s00220-008-0428-2'
apa: 'Seiringer, R. (2008). Free energy of a dilute Bose gas: Lower bound. Communications
in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-008-0428-2'
chicago: 'Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications
in Mathematical Physics. Springer, 2008. https://doi.org/10.1007/s00220-008-0428-2.'
ieee: 'R. Seiringer, “Free energy of a dilute Bose gas: Lower bound,” Communications
in Mathematical Physics, vol. 279, no. 3. Springer, pp. 595–636, 2008.'
ista: 'Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications
in Mathematical Physics. 279(3), 595–636.'
mla: 'Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications
in Mathematical Physics, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:10.1007/s00220-008-0428-2.'
short: R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
date_created: 2018-12-11T11:57:17Z
date_published: 2008-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:06Z
day: '01'
doi: 10.1007/s00220-008-0428-2
extern: 1
intvolume: ' 279'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0608069
month: '05'
oa: 1
page: 595 - 636
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4551'
quality_controlled: 0
status: public
title: 'Free energy of a dilute Bose gas: Lower bound'
type: journal_article
volume: 279
year: '2008'
...
---
_id: '2376'
abstract:
- lang: eng
text: We derive upper and lower bounds on the critical temperature Tc and the energy
gap Ξ (at zero temperature) for the BCS gap equation, describing spin- 1 2 fermions
interacting via a local two-body interaction potential λV(x). At weak coupling
λ 1 and under appropriate assumptions on V(x), our bounds show that Tc ∼A exp(-B/λ)
and Ξ∼C exp(-B/λ) for some explicit coefficients A, B, and C depending on the
interaction V(x) and the chemical potential μ. The ratio A/C turns out to be a
universal constant, independent of both V(x) and μ. Our analysis is valid for
any μ; for small μ, or low density, our formulas reduce to well-known expressions
involving the scattering length of V(x).
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Seiringer R. Critical temperature and energy gap for the BCS equation.
Physical Review B - Condensed Matter and Materials Physics. 2008;77(18).
doi:10.1103/PhysRevB.77.184517
apa: Hainzl, C., & Seiringer, R. (2008). Critical temperature and energy gap
for the BCS equation. Physical Review B - Condensed Matter and Materials Physics.
American Physical Society. https://doi.org/10.1103/PhysRevB.77.184517
chicago: Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy
Gap for the BCS Equation.” Physical Review B - Condensed Matter and Materials
Physics. American Physical Society, 2008. https://doi.org/10.1103/PhysRevB.77.184517.
ieee: C. Hainzl and R. Seiringer, “Critical temperature and energy gap for the BCS
equation,” Physical Review B - Condensed Matter and Materials Physics,
vol. 77, no. 18. American Physical Society, 2008.
ista: Hainzl C, Seiringer R. 2008. Critical temperature and energy gap for the BCS
equation. Physical Review B - Condensed Matter and Materials Physics. 77(18).
mla: Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap
for the BCS Equation.” Physical Review B - Condensed Matter and Materials Physics,
vol. 77, no. 18, American Physical Society, 2008, doi:10.1103/PhysRevB.77.184517.
short: C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials
Physics 77 (2008).
date_created: 2018-12-11T11:57:18Z
date_published: 2008-05-28T00:00:00Z
date_updated: 2021-01-12T06:57:06Z
day: '28'
doi: 10.1103/PhysRevB.77.184517
extern: 1
intvolume: ' 77'
issue: '18'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0801.4159
month: '05'
oa: 1
publication: Physical Review B - Condensed Matter and Materials Physics
publication_status: published
publisher: American Physical Society
publist_id: '4550'
quality_controlled: 0
status: public
title: Critical temperature and energy gap for the BCS equation
type: journal_article
volume: 77
year: '2008'
...
---
_id: '2377'
abstract:
- lang: eng
text: We prove that the critical temperature for the BCS gap equation is given by
T c = μ ( 8\π e γ-2+ o(1)) e π/(2μa) in the low density limit μ→ 0, with γ denoting
Euler's constant. The formula holds for a suitable class of interaction potentials
with negative scattering length a in the absence of bound states.
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Seiringer R. The BCS critical temperature for potentials with negative
scattering length. Letters in Mathematical Physics. 2008;84(2-3):99-107.
doi:10.1007/s11005-008-0242-y
apa: Hainzl, C., & Seiringer, R. (2008). The BCS critical temperature for potentials
with negative scattering length. Letters in Mathematical Physics. Springer.
https://doi.org/10.1007/s11005-008-0242-y
chicago: Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature
for Potentials with Negative Scattering Length.” Letters in Mathematical Physics.
Springer, 2008. https://doi.org/10.1007/s11005-008-0242-y.
ieee: C. Hainzl and R. Seiringer, “The BCS critical temperature for potentials with
negative scattering length,” Letters in Mathematical Physics, vol. 84,
no. 2–3. Springer, pp. 99–107, 2008.
ista: Hainzl C, Seiringer R. 2008. The BCS critical temperature for potentials with
negative scattering length. Letters in Mathematical Physics. 84(2–3), 99–107.
mla: Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for
Potentials with Negative Scattering Length.” Letters in Mathematical Physics,
vol. 84, no. 2–3, Springer, 2008, pp. 99–107, doi:10.1007/s11005-008-0242-y.
short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
date_created: 2018-12-11T11:57:19Z
date_published: 2008-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:07Z
day: '01'
doi: 10.1007/s11005-008-0242-y
extern: 1
intvolume: ' 84'
issue: 2-3
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0803.3324
month: '06'
oa: 1
page: 99 - 107
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4548'
quality_controlled: 0
status: public
title: The BCS critical temperature for potentials with negative scattering length
type: journal_article
volume: 84
year: '2008'
...
---
_id: '2378'
abstract:
- lang: eng
text: We derive a lower bound on the ground state energy of the Hubbard model for
given value of the total spin. In combination with the upper bound derived previously
by Giuliani (J. Math. Phys. 48:023302, [2007]), our result proves that in the
low density limit the leading order correction compared to the ground state energy
of a non-interacting lattice Fermi gas is given by 8πaσ uσ d , where σ u(d) denotes
the density of the spin-up (down) particles, and a is the scattering length of
the contact interaction potential. This result extends previous work on the corresponding
continuum model to the lattice case.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: Seiringer R, Yin J. Ground state energy of the low density hubbard model. Journal
of Statistical Physics. 2008;131(6):1139-1154. doi:10.1007/s10955-008-9527-x
apa: Seiringer, R., & Yin, J. (2008). Ground state energy of the low density
hubbard model. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-008-9527-x
chicago: Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density
Hubbard Model.” Journal of Statistical Physics. Springer, 2008. https://doi.org/10.1007/s10955-008-9527-x.
ieee: R. Seiringer and J. Yin, “Ground state energy of the low density hubbard model,”
Journal of Statistical Physics, vol. 131, no. 6. Springer, pp. 1139–1154,
2008.
ista: Seiringer R, Yin J. 2008. Ground state energy of the low density hubbard model.
Journal of Statistical Physics. 131(6), 1139–1154.
mla: Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard
Model.” Journal of Statistical Physics, vol. 131, no. 6, Springer, 2008,
pp. 1139–54, doi:10.1007/s10955-008-9527-x.
short: R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
date_created: 2018-12-11T11:57:19Z
date_published: 2008-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:07Z
day: '01'
doi: 10.1007/s10955-008-9527-x
extern: 1
intvolume: ' 131'
issue: '6'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0712.2810
month: '06'
oa: 1
page: 1139 - 1154
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4549'
quality_controlled: 0
status: public
title: Ground state energy of the low density hubbard model
type: journal_article
volume: 131
year: '2008'
...
---
_id: '2379'
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Lieb É, Seiringer R. Hardy-Lieb-Thirring inequalities for fractional
Schrödinger operators. Journal of the American Mathematical Society. 2008;21(4):925-950.
doi:10.1090/S0894-0347-07-00582-6
apa: Frank, R., Lieb, É., & Seiringer, R. (2008). Hardy-Lieb-Thirring inequalities
for fractional Schrödinger operators. Journal of the American Mathematical
Society. American Mathematical Society. https://doi.org/10.1090/S0894-0347-07-00582-6
chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Hardy-Lieb-Thirring
Inequalities for Fractional Schrödinger Operators.” Journal of the American
Mathematical Society. American Mathematical Society, 2008. https://doi.org/10.1090/S0894-0347-07-00582-6.
ieee: R. Frank, É. Lieb, and R. Seiringer, “Hardy-Lieb-Thirring inequalities for
fractional Schrödinger operators,” Journal of the American Mathematical Society,
vol. 21, no. 4. American Mathematical Society, pp. 925–950, 2008.
ista: Frank R, Lieb É, Seiringer R. 2008. Hardy-Lieb-Thirring inequalities for fractional
Schrödinger operators. Journal of the American Mathematical Society. 21(4), 925–950.
mla: Frank, Rupert, et al. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger
Operators.” Journal of the American Mathematical Society, vol. 21, no.
4, American Mathematical Society, 2008, pp. 925–50, doi:10.1090/S0894-0347-07-00582-6.
short: R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society
21 (2008) 925–950.
date_created: 2018-12-11T11:57:19Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:07Z
day: '01'
doi: 10.1090/S0894-0347-07-00582-6
extern: 1
intvolume: ' 21'
issue: '4'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math/0610593
month: '01'
oa: 1
page: 925 - 950
publication: Journal of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '4546'
quality_controlled: 0
status: public
title: Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
type: journal_article
volume: 21
year: '2008'
...
---
_id: '2380'
abstract:
- lang: eng
text: The Bardeen-Cooper-Schrieffer (BCS) functional has recently received renewed
attention as a description of fermionic gases interacting with local pairwise
interactions. We present here a rigorous analysis of the BCS functional for general
pair interaction potentials. For both zero and positive temperature, we show that
the existence of a non-trivial solution of the nonlinear BCS gap equation is equivalent
to the existence of a negative eigenvalue of a certain linear operator. From this
we conclude the existence of a critical temperature below which the BCS pairing
wave function does not vanish identically. For attractive potentials, we prove
that the critical temperature is non-zero and exponentially small in the strength
of the potential.
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Eman
full_name: Hamza, Eman
last_name: Hamza
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Hainzl C, Hamza E, Seiringer R, Solovej J. The BCS functional for general pair
interactions. Communications in Mathematical Physics. 2008;281(2):349-367.
doi:10.1007/s00220-008-0489-2
apa: Hainzl, C., Hamza, E., Seiringer, R., & Solovej, J. (2008). The BCS functional
for general pair interactions. Communications in Mathematical Physics.
Springer. https://doi.org/10.1007/s00220-008-0489-2
chicago: Hainzl, Christian, Eman Hamza, Robert Seiringer, and Jan Solovej. “The
BCS Functional for General Pair Interactions.” Communications in Mathematical
Physics. Springer, 2008. https://doi.org/10.1007/s00220-008-0489-2.
ieee: C. Hainzl, E. Hamza, R. Seiringer, and J. Solovej, “The BCS functional for
general pair interactions,” Communications in Mathematical Physics, vol.
281, no. 2. Springer, pp. 349–367, 2008.
ista: Hainzl C, Hamza E, Seiringer R, Solovej J. 2008. The BCS functional for general
pair interactions. Communications in Mathematical Physics. 281(2), 349–367.
mla: Hainzl, Christian, et al. “The BCS Functional for General Pair Interactions.”
Communications in Mathematical Physics, vol. 281, no. 2, Springer, 2008,
pp. 349–67, doi:10.1007/s00220-008-0489-2.
short: C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical
Physics 281 (2008) 349–367.
date_created: 2018-12-11T11:57:20Z
date_published: 2008-07-01T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '01'
doi: 10.1007/s00220-008-0489-2
extern: 1
intvolume: ' 281'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0703086
month: '07'
oa: 1
page: 349 - 367
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4547'
quality_controlled: 0
status: public
title: The BCS functional for general pair interactions
type: journal_article
volume: 281
year: '2008'
...
---
_id: '2381'
abstract:
- lang: eng
text: We determine the sharp constant in the Hardy inequality for fractional Sobolev
spaces. To do so, we develop a non-linear and non-local version of the ground
state representation, which even yields a remainder term. From the sharp Hardy
inequality we deduce the sharp constant in a Sobolev embedding which is optimal
in the Lorentz scale. In the appendix, we characterize the cases of equality in
the rearrangement inequality in fractional Sobolev spaces.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Seiringer R. Non-linear ground state representations and sharp Hardy
inequalities. Journal of Functional Analysis. 2008;255(12):3407-3430. doi:10.1016/j.jfa.2008.05.015
apa: Frank, R., & Seiringer, R. (2008). Non-linear ground state representations
and sharp Hardy inequalities. Journal of Functional Analysis. Academic
Press. https://doi.org/10.1016/j.jfa.2008.05.015
chicago: Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations
and Sharp Hardy Inequalities.” Journal of Functional Analysis. Academic
Press, 2008. https://doi.org/10.1016/j.jfa.2008.05.015.
ieee: R. Frank and R. Seiringer, “Non-linear ground state representations and sharp
Hardy inequalities,” Journal of Functional Analysis, vol. 255, no. 12.
Academic Press, pp. 3407–3430, 2008.
ista: Frank R, Seiringer R. 2008. Non-linear ground state representations and sharp
Hardy inequalities. Journal of Functional Analysis. 255(12), 3407–3430.
mla: Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations
and Sharp Hardy Inequalities.” Journal of Functional Analysis, vol. 255,
no. 12, Academic Press, 2008, pp. 3407–30, doi:10.1016/j.jfa.2008.05.015.
short: R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
date_created: 2018-12-11T11:57:20Z
date_published: 2008-12-15T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '15'
doi: 10.1016/j.jfa.2008.05.015
extern: 1
intvolume: ' 255'
issue: '12'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0803.0503
month: '12'
oa: 1
page: 3407 - 3430
publication: Journal of Functional Analysis
publication_status: published
publisher: Academic Press
publist_id: '4543'
quality_controlled: 0
status: public
title: Non-linear ground state representations and sharp Hardy inequalities
type: journal_article
volume: 255
year: '2008'
...
---
_id: '2382'
abstract:
- lang: eng
text: We show that the Lieb-Liniger model for one-dimensional bosons with repulsive
δ-function interaction can be rigorously derived via a scaling limit from a dilute
three-dimensional Bose gas with arbitrary repulsive interaction potential of finite
scattering length. For this purpose, we prove bounds on both the eigenvalues and
corresponding eigenfunctions of three-dimensional bosons in strongly elongated
traps and relate them to the corresponding quantities in the Lieb-Liniger model.
In particular, if both the scattering length a and the radius r of the cylindrical
trap go to zero, the Lieb-Liniger model with coupling constant g ∼ a/r 2 is derived.
Our bounds are uniform in g in the whole parameter range 0 ≤ g ≤ ∞, and apply
to the Hamiltonian for three-dimensional bosons in a spectral window of size ∼
r -2 above the ground state energy.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: Seiringer R, Yin J. The Lieb-Liniger model as a limit of dilute bosons in three
dimensions. Communications in Mathematical Physics. 2008;284(2):459-479.
doi:10.1007/s00220-008-0521-6
apa: Seiringer, R., & Yin, J. (2008). The Lieb-Liniger model as a limit of dilute
bosons in three dimensions. Communications in Mathematical Physics. Springer.
https://doi.org/10.1007/s00220-008-0521-6
chicago: Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute
Bosons in Three Dimensions.” Communications in Mathematical Physics. Springer,
2008. https://doi.org/10.1007/s00220-008-0521-6.
ieee: R. Seiringer and J. Yin, “The Lieb-Liniger model as a limit of dilute bosons
in three dimensions,” Communications in Mathematical Physics, vol. 284,
no. 2. Springer, pp. 459–479, 2008.
ista: Seiringer R, Yin J. 2008. The Lieb-Liniger model as a limit of dilute bosons
in three dimensions. Communications in Mathematical Physics. 284(2), 459–479.
mla: Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute
Bosons in Three Dimensions.” Communications in Mathematical Physics, vol.
284, no. 2, Springer, 2008, pp. 459–79, doi:10.1007/s00220-008-0521-6.
short: R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
date_created: 2018-12-11T11:57:21Z
date_published: 2008-12-01T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '01'
doi: 10.1007/s00220-008-0521-6
extern: 1
intvolume: ' 284'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0709.4022
month: '12'
oa: 1
page: 459 - 479
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4544'
quality_controlled: 0
status: public
title: The Lieb-Liniger model as a limit of dilute bosons in three dimensions
type: journal_article
volume: 284
year: '2008'
...
---
_id: '2383'
abstract:
- lang: eng
text: We study the relativistic electron-positron field at positive temperature
in the Hartree-Fock approximation. We consider both the case with and without
exchange terms, and investigate the existence and properties of minimizers. Our
approach is non-perturbative in the sense that the relevant electron subspace
is determined in a self-consistent way. The present work is an extension of previous
work by Hainzl, Lewin, Séré and Solovej where the case of zero temperature was
considered.
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Lewin M, Seiringer R. A nonlinear model for relativistic electrons
at positive temperature. Reviews in Mathematical Physics. 2008;20(10):1283-1307.
doi:10.1142/S0129055X08003547
apa: Hainzl, C., Lewin, M., & Seiringer, R. (2008). A nonlinear model for relativistic
electrons at positive temperature. Reviews in Mathematical Physics. World
Scientific Publishing. https://doi.org/10.1142/S0129055X08003547
chicago: Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model
for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical
Physics. World Scientific Publishing, 2008. https://doi.org/10.1142/S0129055X08003547.
ieee: C. Hainzl, M. Lewin, and R. Seiringer, “A nonlinear model for relativistic
electrons at positive temperature,” Reviews in Mathematical Physics, vol.
20, no. 10. World Scientific Publishing, pp. 1283–1307, 2008.
ista: Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons
at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307.
mla: Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at
Positive Temperature.” Reviews in Mathematical Physics, vol. 20, no. 10,
World Scientific Publishing, 2008, pp. 1283–307, doi:10.1142/S0129055X08003547.
short: C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008)
1283–1307.
date_created: 2018-12-11T11:57:21Z
date_published: 2008-11-01T00:00:00Z
date_updated: 2021-01-12T06:57:09Z
day: '01'
doi: 10.1142/S0129055X08003547
extern: 1
intvolume: ' 20'
issue: '10'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0802.4054
month: '11'
oa: 1
page: 1283 - 1307
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '4545'
quality_controlled: 0
status: public
title: A nonlinear model for relativistic electrons at positive temperature
type: journal_article
volume: 20
year: '2008'
...
---
_id: '2415'
alternative_title:
- Contemporary Mathematics
author:
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Wagner U. k-Sets and k-facets. In: Goodman J, Pach J, Pollack R, eds. Surveys
on Discrete and Computational Geometry: Twenty Years Later. Vol 453. American
Mathematical Society; 2008:443-514. doi:10.1090/conm/453'
apa: 'Wagner, U. (2008). k-Sets and k-facets. In J. Goodman, J. Pach, & R. Pollack
(Eds.), Surveys on Discrete and Computational Geometry: Twenty Years Later
(Vol. 453, pp. 443–514). American Mathematical Society. https://doi.org/10.1090/conm/453'
chicago: 'Wagner, Uli. “K-Sets and k-Facets.” In Surveys on Discrete and Computational
Geometry: Twenty Years Later, edited by Jacob Goodman, János Pach, and Richard
Pollack, 453:443–514. American Mathematical Society, 2008. https://doi.org/10.1090/conm/453.'
ieee: 'U. Wagner, “k-Sets and k-facets,” in Surveys on Discrete and Computational
Geometry: Twenty Years Later, vol. 453, J. Goodman, J. Pach, and R. Pollack,
Eds. American Mathematical Society, 2008, pp. 443–514.'
ista: 'Wagner U. 2008.k-Sets and k-facets. In: Surveys on Discrete and Computational
Geometry: Twenty Years Later. Contemporary Mathematics, vol. 453, 443–514.'
mla: 'Wagner, Uli. “K-Sets and k-Facets.” Surveys on Discrete and Computational
Geometry: Twenty Years Later, edited by Jacob Goodman et al., vol. 453, American
Mathematical Society, 2008, pp. 443–514, doi:10.1090/conm/453.'
short: 'U. Wagner, in:, J. Goodman, J. Pach, R. Pollack (Eds.), Surveys on Discrete
and Computational Geometry: Twenty Years Later, American Mathematical Society,
2008, pp. 443–514.'
date_created: 2018-12-11T11:57:32Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:21Z
day: '01'
doi: 10.1090/conm/453
editor:
- first_name: Jacob
full_name: Goodman, Jacob E
last_name: Goodman
- first_name: János
full_name: Pach, János
last_name: Pach
- first_name: Richard
full_name: Pollack, Richard
last_name: Pollack
extern: 1
intvolume: ' 453'
month: '01'
page: 443 - 514
publication: 'Surveys on Discrete and Computational Geometry: Twenty Years Later'
publication_status: published
publisher: American Mathematical Society
publist_id: '4510'
quality_controlled: 0
status: public
title: k-Sets and k-facets
type: book_chapter
volume: 453
year: '2008'
...
---
_id: '2432'
abstract:
- lang: eng
text: We study the disk containment problem introduced by Neumann-Lara and Urrutia
and its generalization to higher dimensions. We relate the problem to centerpoints
and lower centerpoints of point sets. Moreover, we show that for any set of n
points in ℝd, there is a subset A ⊆ S of size [d+3/2] such that any ball containing
A contains at least roughly 4/5ed 3n points of S. This improves previous bounds
for which the constant was exponentially small in d. We also consider a generalization
of the planar disk containment problem to families of pseudodisks.
alternative_title:
- LNCS
author:
- first_name: Shakhar
full_name: Smorodinsky, Shakhar
last_name: Smorodinsky
- first_name: Marek
full_name: Sulovský, Marek
last_name: Sulovský
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Smorodinsky S, Sulovský M, Wagner U. On center regions and balls containing
many points. In: Vol 5092. Springer; 2008:363-373. doi:10.1007/978-3-540-69733-6_36'
apa: 'Smorodinsky, S., Sulovský, M., & Wagner, U. (2008). On center regions
and balls containing many points (Vol. 5092, pp. 363–373). Presented at the COCOON:
Conference on Computing and Combinatorics, Springer. https://doi.org/10.1007/978-3-540-69733-6_36'
chicago: Smorodinsky, Shakhar, Marek Sulovský, and Uli Wagner. “On Center Regions
and Balls Containing Many Points,” 5092:363–73. Springer, 2008. https://doi.org/10.1007/978-3-540-69733-6_36.
ieee: 'S. Smorodinsky, M. Sulovský, and U. Wagner, “On center regions and balls
containing many points,” presented at the COCOON: Conference on Computing and
Combinatorics, 2008, vol. 5092, pp. 363–373.'
ista: 'Smorodinsky S, Sulovský M, Wagner U. 2008. On center regions and balls containing
many points. COCOON: Conference on Computing and Combinatorics, LNCS, vol. 5092,
363–373.'
mla: Smorodinsky, Shakhar, et al. On Center Regions and Balls Containing Many
Points. Vol. 5092, Springer, 2008, pp. 363–73, doi:10.1007/978-3-540-69733-6_36.
short: S. Smorodinsky, M. Sulovský, U. Wagner, in:, Springer, 2008, pp. 363–373.
conference:
name: 'COCOON: Conference on Computing and Combinatorics'
date_created: 2018-12-11T11:57:38Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:27Z
day: '01'
doi: 10.1007/978-3-540-69733-6_36
extern: 1
intvolume: ' 5092'
month: '01'
page: 363 - 373
publication_status: published
publisher: Springer
publist_id: '4482'
quality_controlled: 0
status: public
title: On center regions and balls containing many points
type: conference
volume: 5092
year: '2008'
...
---
_id: '7320'
abstract:
- lang: eng
text: A comparative, experimental diffusivity study of gas diffusion layer (GDL)
materials for polymer electrolyte fuel cells (PEFC) is presented for the first
time. The GDL plays an important role for electrochemical losses due to gas transport
limitations at high current densities. Characterization and optimization of these
layers is therefore essential to improve power density. A recently developed method
which allows for fast diffusimetry is applied and data compared to the literature
values. Measurements are made as a function of direction and compression and the
effect of different binder structures and hydrophobic treatments on effective
diffusivities are discussed. A better understanding of the results is gained by
including novel GDL cross-section images and a meaningful unit cell model for
the interpretation of the data. The diffusivity data is valuable for GDL manufacturers
and future PEFC models. The study reveals that a binder–fiber ratio larger than
50% has a negative impact on the effective diffusion properties. The hydrophobic
treatment which is necessary to improve the water management can impede diffusion
and thus reduce the power density. Furthermore binder has an isotropic effect
while compression pronounces the in-plane orientation of the fibers.
article_processing_charge: No
article_type: original
author:
- first_name: Reto
full_name: Flückiger, Reto
last_name: Flückiger
- first_name: Stefan Alexander
full_name: Freunberger, Stefan Alexander
id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
last_name: Freunberger
orcid: 0000-0003-2902-5319
- first_name: Denis
full_name: Kramer, Denis
last_name: Kramer
- first_name: Alexander
full_name: Wokaun, Alexander
last_name: Wokaun
- first_name: Günther G.
full_name: Scherer, Günther G.
last_name: Scherer
- first_name: Felix N.
full_name: Büchi, Felix N.
last_name: Büchi
citation:
ama: Flückiger R, Freunberger SA, Kramer D, Wokaun A, Scherer GG, Büchi FN. Anisotropic,
effective diffusivity of porous gas diffusion layer materials for PEFC. Electrochimica
Acta. 2008;54(2):551-559. doi:10.1016/j.electacta.2008.07.034
apa: Flückiger, R., Freunberger, S. A., Kramer, D., Wokaun, A., Scherer, G. G.,
& Büchi, F. N. (2008). Anisotropic, effective diffusivity of porous gas diffusion
layer materials for PEFC. Electrochimica Acta. Elsevier. https://doi.org/10.1016/j.electacta.2008.07.034
chicago: Flückiger, Reto, Stefan Alexander Freunberger, Denis Kramer, Alexander
Wokaun, Günther G. Scherer, and Felix N. Büchi. “Anisotropic, Effective Diffusivity
of Porous Gas Diffusion Layer Materials for PEFC.” Electrochimica Acta.
Elsevier, 2008. https://doi.org/10.1016/j.electacta.2008.07.034.
ieee: R. Flückiger, S. A. Freunberger, D. Kramer, A. Wokaun, G. G. Scherer, and
F. N. Büchi, “Anisotropic, effective diffusivity of porous gas diffusion layer
materials for PEFC,” Electrochimica Acta, vol. 54, no. 2. Elsevier, pp.
551–559, 2008.
ista: Flückiger R, Freunberger SA, Kramer D, Wokaun A, Scherer GG, Büchi FN. 2008.
Anisotropic, effective diffusivity of porous gas diffusion layer materials for
PEFC. Electrochimica Acta. 54(2), 551–559.
mla: Flückiger, Reto, et al. “Anisotropic, Effective Diffusivity of Porous Gas Diffusion
Layer Materials for PEFC.” Electrochimica Acta, vol. 54, no. 2, Elsevier,
2008, pp. 551–59, doi:10.1016/j.electacta.2008.07.034.
short: R. Flückiger, S.A. Freunberger, D. Kramer, A. Wokaun, G.G. Scherer, F.N.
Büchi, Electrochimica Acta 54 (2008) 551–559.
date_created: 2020-01-15T12:21:36Z
date_published: 2008-12-30T00:00:00Z
date_updated: 2021-01-12T08:13:02Z
day: '30'
doi: 10.1016/j.electacta.2008.07.034
extern: '1'
intvolume: ' 54'
issue: '2'
language:
- iso: eng
month: '12'
oa_version: None
page: 551-559
publication: Electrochimica Acta
publication_identifier:
issn:
- 0013-4686
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Anisotropic, effective diffusivity of porous gas diffusion layer materials
for PEFC
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 54
year: '2008'
...
---
_id: '7321'
abstract:
- lang: eng
text: Cell interaction phenomena in polymer electrolyte fuel cell stacks that arise
from imbalance between adjacent cells are investigated in detail experimentally
and theoretically. A specialized two-cell stack with advanced localized diagnostics
was developed and used to analyze the mechanism and effect of cell-to-cell coupling
as a result of operationally relevant variations in reactant feed flow. Contributions
to overall and local voltage changes with respect to uniformly operated cells
are scrutinized. Unequal operation of the cells causes in-plane current in the
bipolar plate to redistribute current and result in inhomogeneous polarization.
Both increasing and decreasing polarization along the air-flow path reduces cell
power as compared to isopotential operation. A two-dimensional model based on
a commercial computational fluid dynamics code is used to back and extend the
experimental results to more general cases. Furthermore, the experimental setup
presented allowed for the first time to perform simultaneous localized electrochemical
impedance spectroscopy beyond the single-cell level. The mechanism of mutual cell
interaction on local and integral spectra is revealed. Results show that virtually
identical operation of the cells is essential to obtain meaningful integral spectra.
article_number: B704
article_processing_charge: No
article_type: original
author:
- first_name: Stefan Alexander
full_name: Freunberger, Stefan Alexander
id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
last_name: Freunberger
orcid: 0000-0003-2902-5319
- first_name: Ingo A.
full_name: Schneider, Ingo A.
last_name: Schneider
- first_name: Pang-Chieh
full_name: Sui, Pang-Chieh
last_name: Sui
- first_name: Alexander
full_name: Wokaun, Alexander
last_name: Wokaun
- first_name: Nedjib
full_name: Djilali, Nedjib
last_name: Djilali
- first_name: Felix N.
full_name: Büchi, Felix N.
last_name: Büchi
citation:
ama: Freunberger SA, Schneider IA, Sui P-C, Wokaun A, Djilali N, Büchi FN. Cell
interaction phenomena in polymer electrolyte fuel cell stacks. Journal of The
Electrochemical Society. 2008;155(7). doi:10.1149/1.2913095
apa: Freunberger, S. A., Schneider, I. A., Sui, P.-C., Wokaun, A., Djilali, N.,
& Büchi, F. N. (2008). Cell interaction phenomena in polymer electrolyte
fuel cell stacks. Journal of The Electrochemical Society. The Electrochemical
Society. https://doi.org/10.1149/1.2913095
chicago: Freunberger, Stefan Alexander, Ingo A. Schneider, Pang-Chieh Sui, Alexander
Wokaun, Nedjib Djilali, and Felix N. Büchi. “Cell Interaction Phenomena in Polymer
Electrolyte Fuel Cell Stacks.” Journal of The Electrochemical Society.
The Electrochemical Society, 2008. https://doi.org/10.1149/1.2913095.
ieee: S. A. Freunberger, I. A. Schneider, P.-C. Sui, A. Wokaun, N. Djilali, and
F. N. Büchi, “Cell interaction phenomena in polymer electrolyte fuel cell stacks,”
Journal of The Electrochemical Society, vol. 155, no. 7. The Electrochemical
Society, 2008.
ista: Freunberger SA, Schneider IA, Sui P-C, Wokaun A, Djilali N, Büchi FN. 2008.
Cell interaction phenomena in polymer electrolyte fuel cell stacks. Journal of
The Electrochemical Society. 155(7), B704.
mla: Freunberger, Stefan Alexander, et al. “Cell Interaction Phenomena in Polymer
Electrolyte Fuel Cell Stacks.” Journal of The Electrochemical Society,
vol. 155, no. 7, B704, The Electrochemical Society, 2008, doi:10.1149/1.2913095.
short: S.A. Freunberger, I.A. Schneider, P.-C. Sui, A. Wokaun, N. Djilali, F.N.
Büchi, Journal of The Electrochemical Society 155 (2008).
date_created: 2020-01-15T12:21:47Z
date_published: 2008-05-08T00:00:00Z
date_updated: 2021-01-12T08:13:03Z
day: '08'
doi: 10.1149/1.2913095
extern: '1'
intvolume: ' 155'
issue: '7'
language:
- iso: eng
month: '05'
oa_version: None
publication: Journal of The Electrochemical Society
publication_identifier:
issn:
- 0013-4651
publication_status: published
publisher: The Electrochemical Society
quality_controlled: '1'
status: public
title: Cell interaction phenomena in polymer electrolyte fuel cell stacks
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 155
year: '2008'
...
---
_id: '7322'
abstract:
- lang: eng
text: The gas diffusion layers (GDLs) of a membrane electrode assembly (MEA) serve
as link between flow field and porous electrode within a polymer electrolyte fuel
cell. Beside ensuring sufficient electrical and thermal contact between the whole
electrode area and the flow field, these typically 200–400 μm thick porous structures
enable the access of educts to the electrode area which would be occluded by the
flow field lands if the flow field is directly attached to the electrode. Hence,
the characterisation of properties pertaining to mass transport of educts and
products through these structures is indispensable whilst examining the contribution
of the GDLs to the overall electrochemical characteristics of a MEA. A fast and
cost effective method to measure the effective diffusivity of a GDL is presented.
Electrochemical impedance spectroscopy is applied to measure the effective ionic
conductivity of an electrolyte-soaked GDL. Taking advantage of the analogy between
Ficks and Ohms law, this provides a measure for the effective diffusivity. The
method is described in detail, including experimental as well as theoretical aspects,
and selected results, highlighting the anisotropy and dependence on the degree
of compression, are shown. Moreover, a two-dimensional model consisting of regularly
spaced ellipses is developed to represent the porous structure of the GDL, and
by using conformal maps, the agreement between this model and experiment with
respect to the sensitivity of the effective diffusivity towards compression is
shown.
article_processing_charge: No
article_type: original
author:
- first_name: Denis
full_name: Kramer, Denis
last_name: Kramer
- first_name: Stefan Alexander
full_name: Freunberger, Stefan Alexander
id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
last_name: Freunberger
orcid: 0000-0003-2902-5319
- first_name: Reto
full_name: Flückiger, Reto
last_name: Flückiger
- first_name: Ingo A.
full_name: Schneider, Ingo A.
last_name: Schneider
- first_name: Alexander
full_name: Wokaun, Alexander
last_name: Wokaun
- first_name: Felix N.
full_name: Büchi, Felix N.
last_name: Büchi
- first_name: Günther G.
full_name: Scherer, Günther G.
last_name: Scherer
citation:
ama: Kramer D, Freunberger SA, Flückiger R, et al. Electrochemical diffusimetry
of fuel cell gas diffusion layers. Journal of Electroanalytical Chemistry.
2008;612(1):63-77. doi:10.1016/j.jelechem.2007.09.014
apa: Kramer, D., Freunberger, S. A., Flückiger, R., Schneider, I. A., Wokaun, A.,
Büchi, F. N., & Scherer, G. G. (2008). Electrochemical diffusimetry of fuel
cell gas diffusion layers. Journal of Electroanalytical Chemistry. Elsevier.
https://doi.org/10.1016/j.jelechem.2007.09.014
chicago: Kramer, Denis, Stefan Alexander Freunberger, Reto Flückiger, Ingo A. Schneider,
Alexander Wokaun, Felix N. Büchi, and Günther G. Scherer. “Electrochemical Diffusimetry
of Fuel Cell Gas Diffusion Layers.” Journal of Electroanalytical Chemistry.
Elsevier, 2008. https://doi.org/10.1016/j.jelechem.2007.09.014.
ieee: D. Kramer et al., “Electrochemical diffusimetry of fuel cell gas diffusion
layers,” Journal of Electroanalytical Chemistry, vol. 612, no. 1. Elsevier,
pp. 63–77, 2008.
ista: Kramer D, Freunberger SA, Flückiger R, Schneider IA, Wokaun A, Büchi FN, Scherer
GG. 2008. Electrochemical diffusimetry of fuel cell gas diffusion layers. Journal
of Electroanalytical Chemistry. 612(1), 63–77.
mla: Kramer, Denis, et al. “Electrochemical Diffusimetry of Fuel Cell Gas Diffusion
Layers.” Journal of Electroanalytical Chemistry, vol. 612, no. 1, Elsevier,
2008, pp. 63–77, doi:10.1016/j.jelechem.2007.09.014.
short: D. Kramer, S.A. Freunberger, R. Flückiger, I.A. Schneider, A. Wokaun, F.N.
Büchi, G.G. Scherer, Journal of Electroanalytical Chemistry 612 (2008) 63–77.
date_created: 2020-01-15T12:21:57Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T08:13:03Z
day: '01'
doi: 10.1016/j.jelechem.2007.09.014
extern: '1'
intvolume: ' 612'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 63-77
publication: Journal of Electroanalytical Chemistry
publication_identifier:
issn:
- 1572-6657
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Electrochemical diffusimetry of fuel cell gas diffusion layers
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 612
year: '2008'
...
---
_id: '7425'
abstract:
- lang: eng
text: The propagation of single cell performance losses to adjacent cells in a polymer
electrolyte fuel cell stack is studied by means of local current density measurements
in a two cell stack. In this stack, the working conditions of adjacent cells can
be controlled independently in order to deliberately change the performance of
one cell (inducing cell) and study the coupling effects to the adjacent cell (response
cell), while keeping the working conditions of the later one unchanged. The experiments
have shown that changes in the current density distribution caused by lowering
of the air stoichiometry in the inducing cell cause changes in the current density
distribution of the response cell in the order of 60% of the change of the inducing
cell, even when the air stoichiometry of the response cell is kept constant. The
losses in cell voltage of the inducing cell cause losses in cell voltage of the
response cell in a magnitude between 30 and 50%.
article_processing_charge: No
author:
- first_name: Marco
full_name: Santis, Marco
last_name: Santis
- first_name: Stefan Alexander
full_name: Freunberger, Stefan Alexander
id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
last_name: Freunberger
orcid: 0000-0003-2902-5319
- first_name: Matthias
full_name: Papra, Matthias
last_name: Papra
- first_name: Felix N.
full_name: Büchi, Felix N.
last_name: Büchi
citation:
ama: 'Santis M, Freunberger SA, Papra M, Büchi FN. Experimental investigation of
the propagation of local current density variations to adjacent cells in PEFC
stacks. In: 3rd International Conference on Fuel Cell Science, Engineering
and Technology. ASMEDC; 2008:763-765. doi:10.1115/fuelcell2005-74116'
apa: 'Santis, M., Freunberger, S. A., Papra, M., & Büchi, F. N. (2008). Experimental
investigation of the propagation of local current density variations to adjacent
cells in PEFC stacks. In 3rd International Conference on Fuel Cell Science,
Engineering and Technology (pp. 763–765). Ypsilanti, MI, United States: ASMEDC.
https://doi.org/10.1115/fuelcell2005-74116'
chicago: Santis, Marco, Stefan Alexander Freunberger, Matthias Papra, and Felix
N. Büchi. “Experimental Investigation of the Propagation of Local Current Density
Variations to Adjacent Cells in PEFC Stacks.” In 3rd International Conference
on Fuel Cell Science, Engineering and Technology, 763–65. ASMEDC, 2008. https://doi.org/10.1115/fuelcell2005-74116.
ieee: M. Santis, S. A. Freunberger, M. Papra, and F. N. Büchi, “Experimental investigation
of the propagation of local current density variations to adjacent cells in PEFC
stacks,” in 3rd International Conference on Fuel Cell Science, Engineering
and Technology, Ypsilanti, MI, United States, 2008, pp. 763–765.
ista: Santis M, Freunberger SA, Papra M, Büchi FN. 2008. Experimental investigation
of the propagation of local current density variations to adjacent cells in PEFC
stacks. 3rd International Conference on Fuel Cell Science, Engineering and Technology.
International conference on fuel cell science, engineering and technology, 763–765.
mla: Santis, Marco, et al. “Experimental Investigation of the Propagation of Local
Current Density Variations to Adjacent Cells in PEFC Stacks.” 3rd International
Conference on Fuel Cell Science, Engineering and Technology, ASMEDC, 2008,
pp. 763–65, doi:10.1115/fuelcell2005-74116.
short: M. Santis, S.A. Freunberger, M. Papra, F.N. Büchi, in:, 3rd International
Conference on Fuel Cell Science, Engineering and Technology, ASMEDC, 2008, pp.
763–765.
conference:
end_date: 2005-05-25
location: Ypsilanti, MI, United States
name: International conference on fuel cell science, engineering and technology
start_date: 2005-05-23
date_created: 2020-01-31T10:14:45Z
date_published: 2008-10-13T00:00:00Z
date_updated: 2021-01-12T08:13:33Z
day: '13'
doi: 10.1115/fuelcell2005-74116
extern: '1'
language:
- iso: eng
month: '10'
oa_version: None
page: 763-765
publication: 3rd International Conference on Fuel Cell Science, Engineering and Technology
publication_identifier:
isbn:
- '0791837645'
- '0791837572'
publication_status: published
publisher: ASMEDC
quality_controlled: '1'
status: public
title: Experimental investigation of the propagation of local current density variations
to adjacent cells in PEFC stacks
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2008'
...
---
_id: '753'
abstract:
- lang: eng
text: 'This paper addresses the following question: what is the minimum-sized synchronous
window needed to solve consensus in an otherwise asynchronous system? In answer
to this question, we present the first optimally-resilient algorithm ASAP that
solves consensus as soon as possible in an eventually synchronous system, i.e.,
a system that from some time GST onwards, delivers messages in a timely fashion.
ASAP guarantees that, in an execution with at most f failures, every process decides
no later than round GST + f + 2, which is optimal.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Dan-Adrian
full_name: Alistarh, Dan-Adrian
id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
last_name: Alistarh
orcid: 0000-0003-3650-940X
- first_name: Seth
full_name: Gilbert, Seth
last_name: Gilbert
- first_name: Rachid
full_name: Guerraoui, Rachid
last_name: Guerraoui
- first_name: Corentin
full_name: Travers, Corentin
last_name: Travers
citation:
ama: 'Alistarh D-A, Gilbert S, Guerraoui R, Travers C. How to solve consensus in
the smallest window of synchrony. In: Vol 5218 LNCS. Springer; 2008:32-46. doi:10.1007/978-3-540-87779-0_3'
apa: 'Alistarh, D.-A., Gilbert, S., Guerraoui, R., & Travers, C. (2008). How
to solve consensus in the smallest window of synchrony (Vol. 5218 LNCS, pp. 32–46).
Presented at the DISC: Distributed Computing, Springer. https://doi.org/10.1007/978-3-540-87779-0_3'
chicago: Alistarh, Dan-Adrian, Seth Gilbert, Rachid Guerraoui, and Corentin Travers.
“How to Solve Consensus in the Smallest Window of Synchrony,” 5218 LNCS:32–46.
Springer, 2008. https://doi.org/10.1007/978-3-540-87779-0_3.
ieee: 'D.-A. Alistarh, S. Gilbert, R. Guerraoui, and C. Travers, “How to solve consensus
in the smallest window of synchrony,” presented at the DISC: Distributed Computing,
2008, vol. 5218 LNCS, pp. 32–46.'
ista: 'Alistarh D-A, Gilbert S, Guerraoui R, Travers C. 2008. How to solve consensus
in the smallest window of synchrony. DISC: Distributed Computing, LNCS, vol. 5218
LNCS, 32–46.'
mla: Alistarh, Dan-Adrian, et al. How to Solve Consensus in the Smallest Window
of Synchrony. Vol. 5218 LNCS, Springer, 2008, pp. 32–46, doi:10.1007/978-3-540-87779-0_3.
short: D.-A. Alistarh, S. Gilbert, R. Guerraoui, C. Travers, in:, Springer, 2008,
pp. 32–46.
conference:
name: 'DISC: Distributed Computing'
date_created: 2018-12-11T11:48:19Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2023-02-23T13:10:13Z
day: '01'
doi: 10.1007/978-3-540-87779-0_3
extern: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 32 - 46
publication_status: published
publisher: Springer
publist_id: '6904'
status: public
title: How to solve consensus in the smallest window of synchrony
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5218 LNCS
year: '2008'
...
---
_id: '7752'
article_processing_charge: No
article_type: original
author:
- first_name: Matthew Richard
full_name: Robinson, Matthew Richard
id: E5D42276-F5DA-11E9-8E24-6303E6697425
last_name: Robinson
orcid: 0000-0001-8982-8813
- first_name: Jill G.
full_name: Pilkington, Jill G.
last_name: Pilkington
- first_name: Tim H.
full_name: Clutton-Brock, Tim H.
last_name: Clutton-Brock
- first_name: Josephine M.
full_name: Pemberton, Josephine M.
last_name: Pemberton
- first_name: Loeske. E.B.
full_name: Kruuk, Loeske. E.B.
last_name: Kruuk
citation:
ama: Robinson MR, Pilkington JG, Clutton-Brock TH, Pemberton JM, Kruuk LEB. Environmental
heterogeneity generates fluctuating selection on a secondary sexual trait. Current
Biology. 2008;18(10):751-757. doi:10.1016/j.cub.2008.04.059
apa: Robinson, M. R., Pilkington, J. G., Clutton-Brock, T. H., Pemberton, J. M.,
& Kruuk, L. E. B. (2008). Environmental heterogeneity generates fluctuating
selection on a secondary sexual trait. Current Biology. Elsevier. https://doi.org/10.1016/j.cub.2008.04.059
chicago: Robinson, Matthew Richard, Jill G. Pilkington, Tim H. Clutton-Brock, Josephine
M. Pemberton, and Loeske. E.B. Kruuk. “Environmental Heterogeneity Generates Fluctuating
Selection on a Secondary Sexual Trait.” Current Biology. Elsevier, 2008.
https://doi.org/10.1016/j.cub.2008.04.059.
ieee: M. R. Robinson, J. G. Pilkington, T. H. Clutton-Brock, J. M. Pemberton, and
L. E. B. Kruuk, “Environmental heterogeneity generates fluctuating selection on
a secondary sexual trait,” Current Biology, vol. 18, no. 10. Elsevier,
pp. 751–757, 2008.
ista: Robinson MR, Pilkington JG, Clutton-Brock TH, Pemberton JM, Kruuk LEB. 2008.
Environmental heterogeneity generates fluctuating selection on a secondary sexual
trait. Current Biology. 18(10), 751–757.
mla: Robinson, Matthew Richard, et al. “Environmental Heterogeneity Generates Fluctuating
Selection on a Secondary Sexual Trait.” Current Biology, vol. 18, no. 10,
Elsevier, 2008, pp. 751–57, doi:10.1016/j.cub.2008.04.059.
short: M.R. Robinson, J.G. Pilkington, T.H. Clutton-Brock, J.M. Pemberton, L.E.B.
Kruuk, Current Biology 18 (2008) 751–757.
date_created: 2020-04-30T11:02:13Z
date_published: 2008-05-20T00:00:00Z
date_updated: 2021-01-12T08:15:17Z
day: '20'
doi: 10.1016/j.cub.2008.04.059
extern: '1'
intvolume: ' 18'
issue: '10'
language:
- iso: eng
month: '05'
oa_version: None
page: 751-757
publication: Current Biology
publication_identifier:
issn:
- 0960-9822
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Environmental heterogeneity generates fluctuating selection on a secondary
sexual trait
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2008'
...
---
_id: '4568'
abstract:
- lang: eng
text: We present and evaluate a framework and tool for combining multiple program
analyses which allows the dynamic (on-line) adjustment of the precision of each
analysis depending on the accumulated results. For example, the explicit tracking
of the values of a variable may be switched off in favor of a predicate abstraction
when and where the number of different variable values that have been encountered
has exceeded a specified threshold. The method is evaluated on verifying the SSH
client/server software and shows significant gains compared with predicate abstraction-based
model checking.
author:
- first_name: Dirk
full_name: Beyer, Dirk
last_name: Beyer
- first_name: Thomas A
full_name: Thomas Henzinger
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Grégory
full_name: Théoduloz, Grégory
last_name: Théoduloz
citation:
ama: 'Beyer D, Henzinger TA, Théoduloz G. Program analysis with dynamic change of
precision. In: ACM; 2008:29-38. doi:10.1109/ASE.2008.13'
apa: 'Beyer, D., Henzinger, T. A., & Théoduloz, G. (2008). Program analysis
with dynamic change of precision (pp. 29–38). Presented at the ASE: Automated
Software Engineering, ACM. https://doi.org/10.1109/ASE.2008.13'
chicago: Beyer, Dirk, Thomas A Henzinger, and Grégory Théoduloz. “Program Analysis
with Dynamic Change of Precision,” 29–38. ACM, 2008. https://doi.org/10.1109/ASE.2008.13.
ieee: 'D. Beyer, T. A. Henzinger, and G. Théoduloz, “Program analysis with dynamic
change of precision,” presented at the ASE: Automated Software Engineering, 2008,
pp. 29–38.'
ista: 'Beyer D, Henzinger TA, Théoduloz G. 2008. Program analysis with dynamic change
of precision. ASE: Automated Software Engineering, 29–38.'
mla: Beyer, Dirk, et al. Program Analysis with Dynamic Change of Precision.
ACM, 2008, pp. 29–38, doi:10.1109/ASE.2008.13.
short: D. Beyer, T.A. Henzinger, G. Théoduloz, in:, ACM, 2008, pp. 29–38.
conference:
name: 'ASE: Automated Software Engineering'
date_created: 2018-12-11T12:09:31Z
date_published: 2008-10-07T00:00:00Z
date_updated: 2021-01-12T07:59:46Z
day: '07'
doi: 10.1109/ASE.2008.13
extern: 1
main_file_link:
- open_access: '0'
url: http://pub.ist.ac.at/%7Etah/Publications/program_analysis_with_dynamic_change_of_precision.pdf
month: '10'
page: 29 - 38
publication_status: published
publisher: ACM
publist_id: '140'
quality_controlled: 0
status: public
title: Program analysis with dynamic change of precision
type: conference
year: '2008'
...