---
_id: '14377'
abstract:
- lang: eng
  text: Coherent flows of self-propelled particles are characterized by vortices and
    jets that sustain chaotic flows, referred to as active turbulence. Here, we reveal
    a crossover between defect-free active turbulence and active turbulence laden
    with topological defects. Interestingly, we show that concurrent to the crossover
    from defect-free to defect-laden active turbulence is the restoration of the previously
    broken SO(2) symmetry signaled by the fast decay of the two-point correlations.
    By stability analyses of the topological charge density field, we provide theoretical
    insights on the criterion for the crossover to the defect-laden active turbulent
    state. Despite the distinct symmetry features between these two active turbulence
    regimes, the flow fluctuations exhibit universal statistical scaling behaviors
    at large scales, while the spectrum of polarity fluctuations decays exponentially
    at small length scales compared to the active energy injection length. These findings
    reveal a dynamical crossover between distinct spatiotemporal organization patterns
    in polar active matter.
article_number: '063101'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Benjamin H.
  full_name: Andersen, Benjamin H.
  last_name: Andersen
- first_name: Julian B
  full_name: Renaud, Julian B
  id: 7af6767d-14eb-11ed-b536-a32449ae867c
  last_name: Renaud
- first_name: Jonas
  full_name: Rønning, Jonas
  last_name: Rønning
- first_name: Luiza
  full_name: Angheluta, Luiza
  last_name: Angheluta
- first_name: Amin
  full_name: Doostmohammadi, Amin
  last_name: Doostmohammadi
citation:
  ama: Andersen BH, Renaud JB, Rønning J, Angheluta L, Doostmohammadi A. Symmetry-restoring
    crossover from defect-free to defect-laden turbulence in polar active matter.
    <i>Physical Review Fluids</i>. 2023;8(6). doi:<a href="https://doi.org/10.1103/physrevfluids.8.063101">10.1103/physrevfluids.8.063101</a>
  apa: Andersen, B. H., Renaud, J. B., Rønning, J., Angheluta, L., &#38; Doostmohammadi,
    A. (2023). Symmetry-restoring crossover from defect-free to defect-laden turbulence
    in polar active matter. <i>Physical Review Fluids</i>. American Physical Society.
    <a href="https://doi.org/10.1103/physrevfluids.8.063101">https://doi.org/10.1103/physrevfluids.8.063101</a>
  chicago: Andersen, Benjamin H., Julian B Renaud, Jonas Rønning, Luiza Angheluta,
    and Amin Doostmohammadi. “Symmetry-Restoring Crossover from Defect-Free to Defect-Laden
    Turbulence in Polar Active Matter.” <i>Physical Review Fluids</i>. American Physical
    Society, 2023. <a href="https://doi.org/10.1103/physrevfluids.8.063101">https://doi.org/10.1103/physrevfluids.8.063101</a>.
  ieee: B. H. Andersen, J. B. Renaud, J. Rønning, L. Angheluta, and A. Doostmohammadi,
    “Symmetry-restoring crossover from defect-free to defect-laden turbulence in polar
    active matter,” <i>Physical Review Fluids</i>, vol. 8, no. 6. American Physical
    Society, 2023.
  ista: Andersen BH, Renaud JB, Rønning J, Angheluta L, Doostmohammadi A. 2023. Symmetry-restoring
    crossover from defect-free to defect-laden turbulence in polar active matter.
    Physical Review Fluids. 8(6), 063101.
  mla: Andersen, Benjamin H., et al. “Symmetry-Restoring Crossover from Defect-Free
    to Defect-Laden Turbulence in Polar Active Matter.” <i>Physical Review Fluids</i>,
    vol. 8, no. 6, 063101, American Physical Society, 2023, doi:<a href="https://doi.org/10.1103/physrevfluids.8.063101">10.1103/physrevfluids.8.063101</a>.
  short: B.H. Andersen, J.B. Renaud, J. Rønning, L. Angheluta, A. Doostmohammadi,
    Physical Review Fluids 8 (2023).
date_created: 2023-09-29T08:46:47Z
date_published: 2023-06-14T00:00:00Z
date_updated: 2023-10-03T07:25:39Z
day: '14'
doi: 10.1103/physrevfluids.8.063101
extern: '1'
external_id:
  arxiv:
  - '2209.10916'
intvolume: '         8'
issue: '6'
keyword:
- Fluid Flow and Transfer Processes
- Modeling and Simulation
- Computational Mechanics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2209.10916
month: '06'
oa: 1
oa_version: Preprint
publication: Physical Review Fluids
publication_identifier:
  issn:
  - 2469-990X
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symmetry-restoring crossover from defect-free to defect-laden turbulence in
  polar active matter
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2023'
...
---
_id: '14087'
abstract:
- lang: eng
  text: Polar active matter of self-propelled particles sustain spontaneous flows
    through the full-integer topological defects. We study theoretically the incompressible
    flow profiles around ±1 defects induced by polar and dipolar active forces. We
    show that dipolar forces induce vortical flows around the +1 defect, while the
    flow around the −1 defect has an 8-fold rotational symmetry. The vortical flow
    changes its chirality near the +1 defect core in the absence of the friction with
    a substrate. We show analytically that the flow induced by polar active forces
    is vortical near the +1 defect and is 4-fold symmetric near the −1 defect, while
    it becomes uniform in the far-field. For a pair of oppositely charged defects,
    this polar flow contributes to a mutual interaction force that depends only on
    the orientation of the defect pair relative to the background polarization, and
    that enhances defect pair annihilation. This is in contradiction with the effect
    of dipolar active forces which decay inversely proportional with the defect separation
    distance. As such, our analyses reveals a long-ranged mechanism for the pairwise
    interaction between topological defects in polar active matter.
acknowledgement: J. Rø and L. A. acknowledge support from the Research Council of
  Norway through the Center of Excellence funding scheme, Project No. 262644 (PoreLab).
  A. D. acknowledges funding from the Novo Nordisk Foundation (grant No. NNF18SA0035142
  and NERD grant No. NNF21OC0068687), Villum Fonden Grant no. 29476, and the European
  Union via the ERC-Starting Grant PhysCoMeT. Views and opinions expressed are however
  those of the authors only and do not necessarily reflect those of the European Union
  or the European Research Council. Neither the European Union nor the granting authority
  can be held responsible for them.
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Jonas
  full_name: Rønning, Jonas
  last_name: Rønning
- first_name: Julian B
  full_name: Renaud, Julian B
  id: 7af6767d-14eb-11ed-b536-a32449ae867c
  last_name: Renaud
- first_name: Amin
  full_name: Doostmohammadi, Amin
  last_name: Doostmohammadi
- first_name: Luiza
  full_name: Angheluta, Luiza
  last_name: Angheluta
citation:
  ama: Rønning J, Renaud JB, Doostmohammadi A, Angheluta L. Spontaneous flows and
    dynamics of full-integer topological defects in polar active matter. <i>Soft Matter</i>.
    2023;39:7513-7527. doi:<a href="https://doi.org/10.1039/d3sm00316g">10.1039/d3sm00316g</a>
  apa: Rønning, J., Renaud, J. B., Doostmohammadi, A., &#38; Angheluta, L. (2023).
    Spontaneous flows and dynamics of full-integer topological defects in polar active
    matter. <i>Soft Matter</i>. Royal Society of Chemistry. <a href="https://doi.org/10.1039/d3sm00316g">https://doi.org/10.1039/d3sm00316g</a>
  chicago: Rønning, Jonas, Julian B Renaud, Amin Doostmohammadi, and Luiza Angheluta.
    “Spontaneous Flows and Dynamics of Full-Integer Topological Defects in Polar Active
    Matter.” <i>Soft Matter</i>. Royal Society of Chemistry, 2023. <a href="https://doi.org/10.1039/d3sm00316g">https://doi.org/10.1039/d3sm00316g</a>.
  ieee: J. Rønning, J. B. Renaud, A. Doostmohammadi, and L. Angheluta, “Spontaneous
    flows and dynamics of full-integer topological defects in polar active matter,”
    <i>Soft Matter</i>, vol. 39. Royal Society of Chemistry, pp. 7513–7527, 2023.
  ista: Rønning J, Renaud JB, Doostmohammadi A, Angheluta L. 2023. Spontaneous flows
    and dynamics of full-integer topological defects in polar active matter. Soft
    Matter. 39, 7513–7527.
  mla: Rønning, Jonas, et al. “Spontaneous Flows and Dynamics of Full-Integer Topological
    Defects in Polar Active Matter.” <i>Soft Matter</i>, vol. 39, Royal Society of
    Chemistry, 2023, pp. 7513–27, doi:<a href="https://doi.org/10.1039/d3sm00316g">10.1039/d3sm00316g</a>.
  short: J. Rønning, J.B. Renaud, A. Doostmohammadi, L. Angheluta, Soft Matter 39
    (2023) 7513–7527.
date_created: 2023-08-20T22:01:15Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2024-01-30T12:49:24Z
day: '01'
ddc:
- '540'
department:
- _id: GradSch
doi: 10.1039/d3sm00316g
external_id:
  arxiv:
  - '2303.07063'
  isi:
  - '001035766100001'
file:
- access_level: open_access
  checksum: b936747170d0b708172b518078c4081a
  content_type: application/pdf
  creator: dernst
  date_created: 2024-01-30T12:48:24Z
  date_updated: 2024-01-30T12:48:24Z
  file_id: '14908'
  file_name: 2023_SoftMatter_Ronning.pdf
  file_size: 7660662
  relation: main_file
  success: 1
file_date_updated: 2024-01-30T12:48:24Z
has_accepted_license: '1'
intvolume: '        39'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 7513-7527
publication: Soft Matter
publication_identifier:
  eissn:
  - 1744-6848
  issn:
  - 1744-683X
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Spontaneous flows and dynamics of full-integer topological defects in polar
  active matter
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 39
year: '2023'
...
