---
_id: '11343'
abstract:
- lang: eng
  text: Multistable systems are characterized by exhibiting domain coexistence, where
    each domain accounts for the different equilibrium states. In case these systems
    are described by vectorial fields, domains can be connected through topological
    defects. Vortices are one of the most frequent and studied topological defect
    points. Optical vortices are equally relevant for their fundamental features as
    beams with topological features and their applications in image processing, telecommunications,
    optical tweezers, and quantum information. A natural source of optical vortices
    is the interaction of light beams with matter vortices in liquid crystal cells.
    The rhythms that govern the emergence of matter vortices due to fluctuations are
    not established. Here, we investigate the nucleation mechanisms of the matter
    vortices in liquid crystal cells and establish statistical laws that govern them.
    Based on a stochastic amplitude equation, the law for the number of nucleated
    vortices as a function of anisotropy, voltage, and noise level intensity is set.
    Experimental observations in a nematic liquid crystal cell with homeotropic anchoring
    and a negative anisotropic dielectric constant under the influence of a transversal
    electric field show a qualitative agreement with the theoretical findings.
acknowledgement: "The authors thank Enrique Calisto,Michal Kowalczyk, and Michel Ferre
  for fructified discussions. This work was funded by ANID—Millennium Science Initiative
  Program—ICN17_012. MGC is thankful for financial support from the Fondecyt 1210353
  project.\r\nOpen access funding provided by Institute of Science and Technology
  (IST Austria)."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Esteban
  full_name: Aguilera, Esteban
  last_name: Aguilera
- first_name: Marcel G.
  full_name: Clerc, Marcel G.
  last_name: Clerc
- first_name: Valeska
  full_name: Zambra, Valeska
  id: 467ed36b-dc96-11ea-b7c8-b043a380b282
  last_name: Zambra
citation:
  ama: Aguilera E, Clerc MG, Zambra V. Vortices nucleation by inherent fluctuations
    in nematic liquid crystal cells. <i>Nonlinear Dynamics</i>. 2022;108:3209-3218.
    doi:<a href="https://doi.org/10.1007/s11071-022-07396-5">10.1007/s11071-022-07396-5</a>
  apa: Aguilera, E., Clerc, M. G., &#38; Zambra, V. (2022). Vortices nucleation by
    inherent fluctuations in nematic liquid crystal cells. <i>Nonlinear Dynamics</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s11071-022-07396-5">https://doi.org/10.1007/s11071-022-07396-5</a>
  chicago: Aguilera, Esteban, Marcel G. Clerc, and Valeska Zambra. “Vortices Nucleation
    by Inherent Fluctuations in Nematic Liquid Crystal Cells.” <i>Nonlinear Dynamics</i>.
    Springer Nature, 2022. <a href="https://doi.org/10.1007/s11071-022-07396-5">https://doi.org/10.1007/s11071-022-07396-5</a>.
  ieee: E. Aguilera, M. G. Clerc, and V. Zambra, “Vortices nucleation by inherent
    fluctuations in nematic liquid crystal cells,” <i>Nonlinear Dynamics</i>, vol.
    108. Springer Nature, pp. 3209–3218, 2022.
  ista: Aguilera E, Clerc MG, Zambra V. 2022. Vortices nucleation by inherent fluctuations
    in nematic liquid crystal cells. Nonlinear Dynamics. 108, 3209–3218.
  mla: Aguilera, Esteban, et al. “Vortices Nucleation by Inherent Fluctuations in
    Nematic Liquid Crystal Cells.” <i>Nonlinear Dynamics</i>, vol. 108, Springer Nature,
    2022, pp. 3209–18, doi:<a href="https://doi.org/10.1007/s11071-022-07396-5">10.1007/s11071-022-07396-5</a>.
  short: E. Aguilera, M.G. Clerc, V. Zambra, Nonlinear Dynamics 108 (2022) 3209–3218.
date_created: 2022-05-02T07:01:59Z
date_published: 2022-06-01T00:00:00Z
date_updated: 2023-08-03T06:46:54Z
day: '01'
ddc:
- '530'
department:
- _id: KiMo
doi: 10.1007/s11071-022-07396-5
external_id:
  isi:
  - '000784871800001'
file:
- access_level: open_access
  checksum: 7d80cdece4e1b1c2106e6772a9622f60
  content_type: application/pdf
  creator: dernst
  date_created: 2022-08-05T06:13:19Z
  date_updated: 2022-08-05T06:13:19Z
  file_id: '11728'
  file_name: 2022_NonlinearDyn_Aguilera.pdf
  file_size: 1416049
  relation: main_file
  success: 1
file_date_updated: 2022-08-05T06:13:19Z
has_accepted_license: '1'
intvolume: '       108'
isi: 1
keyword:
- Electrical and Electronic Engineering
- Applied Mathematics
- Mechanical Engineering
- Ocean Engineering
- Aerospace Engineering
- Control and Systems Engineering
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '06'
oa: 1
oa_version: Published Version
page: 3209-3218
publication: Nonlinear Dynamics
publication_identifier:
  eissn:
  - 1573-269X
  issn:
  - 0924-090X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Vortices nucleation by inherent fluctuations in nematic liquid crystal cells
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 108
year: '2022'
...