Aguilera, Esteban; Clerc, Marcel G.; Zambra, ValeskaISTA
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.
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. Open access funding provided by Institute of Science and Technology (IST Austria).
Aguilera E, Clerc MG, Zambra V. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics. 2022;108:3209-3218. doi:10.1007/s11071-022-07396-5
Aguilera, E., Clerc, M. G., & Zambra, V. (2022). Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics. Springer Nature. https://doi.org/10.1007/s11071-022-07396-5
Aguilera, Esteban, Marcel G. Clerc, and Valeska Zambra. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” Nonlinear Dynamics. Springer Nature, 2022. https://doi.org/10.1007/s11071-022-07396-5.
E. Aguilera, M. G. Clerc, and V. Zambra, “Vortices nucleation by inherent fluctuations in nematic liquid crystal cells,” Nonlinear Dynamics, vol. 108. Springer Nature, pp. 3209–3218, 2022.
Aguilera E, Clerc MG, Zambra V. 2022. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics. 108, 3209–3218.
Aguilera, Esteban, et al. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” Nonlinear Dynamics, vol. 108, Springer Nature, 2022, pp. 3209–18, doi:10.1007/s11071-022-07396-5.
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