Geodesic
Skyrmion states in chiral liquid crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 2, pp. 238-253

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We analyze static configurations for chiral liquid crystals in the framework of the Oseen–Frank theory. In particular, we find numerical solutions for localized axisymmetric states in confined chiral liquid crystals with weak homeotropic anchoring at the boundaries. These solutions describe the distortions of two-dimensional skyrmions, known as either spherulites or cholesteric bubbles, which have been observed experimentally in these systems. We outline relations to nonlinear integrable equations and use the relations to study the asymptotic behavior of the solutions. Using analytic methods, we build approximate solutions of the equilibrium equations and analyze the generation and stabilization of these states in relation to the material parameters, external fields, and anchoring boundary conditions.
Keywords: chiral liquid crystal, weak homeotropic anchoring, equilibrium equation, asymptotics, nonlinear integrable equation.
Mots-clés : skyrmion 
@article{TMF_2018_196_2_a3,
     author = {G. De Matteis and L. Martina and V. Turco},
     title = {Skyrmion states in chiral liquid crystals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {238--253},
     publisher = {mathdoc},
     volume = {196},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_196_2_a3/}
}
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G. De Matteis; L. Martina; V. Turco. Skyrmion states in chiral liquid crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 2, pp. 238-253. http://geodesic.mathdoc.fr/item/TMF_2018_196_2_a3/