Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Han, Yucen"'
We mathematically model Smectic-A (SmA) phases with a modified Landau-de Gennes (mLdG) model. The orientational order of the SmA phase is described by a tensor-order parameter $\mathbf{Q}$, and the positional order is described by a real scalar $u$,
Externí odkaz:
http://arxiv.org/abs/2408.03343
We introduce a diffuse-interface Landau-de Gennes free energy for free-boundary nematic liquid crystals (NLC) in three dimensions submerged in isotropic liquid, where a phase field is introduced to model the deformable interface. The energy we propos
Externí odkaz:
http://arxiv.org/abs/2407.21437
Autor:
Xia, Jingmin, Han, Yucen
The smectic C (smC) phase represents a unique class of liquid crystal phases characterised by the layered arrangement of molecules with tilted orientations with respect to layer normals. Building upon the real-valued tensorial smectic A (smA) model i
Externí odkaz:
http://arxiv.org/abs/2402.18295
The transition from a nematic to an isotropic state in a self-closing spherical liquid crystal shell with tangential alignment is a stimulating phenomenon to investigate, as the topology dictates that the shell exhibits local isotropic points at all
Externí odkaz:
http://arxiv.org/abs/2402.00552
We study nematic configurations within three-dimensional (3D) cuboids, with planar degenerate boundary conditions on the cuboid faces, in the Landau-de Gennes framework. There are two geometry-dependent variables: the edge length of the square cross-
Externí odkaz:
http://arxiv.org/abs/2310.07982
Publikováno v:
Phys. D 459 (2024), 134019, 16 pp
We study equilibrium configurations in spherical droplets of nematic liquid crystal with strong radial anchoring, within the Landau-de Gennes theory with a sixth-order bulk potential. The sixth-order potential predicts a bulk biaxial phase for suffic
Externí odkaz:
http://arxiv.org/abs/2306.15563
We model nematic liquid crystal configurations inside three-dimensional prisms, with a polygonal cross-section and Dirichlet boundary conditions on all prism surfaces. We work in a reduced Landau-de Gennes framework, and the Dirichlet conditions on t
Externí odkaz:
http://arxiv.org/abs/2211.07536
We study order reconstruction (OR) solutions in the Beris-Edwards framework for nematodynamics, for both passive and active nematic flows in a microfluidic channel. OR solutions exhibit polydomains and domain walls, and as such, are of physical inter
Externí odkaz:
http://arxiv.org/abs/2204.07808
We investigate critical points of a Landau-de Gennes (LdG) free energy in three-dimensional (3D) cuboids, that model nematic equilibria. We develop a hybrid saddle dynamics-based algorithm to efficiently compute solution landscapes of these 3D system
Externí odkaz:
http://arxiv.org/abs/2204.00478
Autor:
Han, Yucen, Majumdar, Apala
We study nematic equilibria in an unbounded domain, with a two-dimensional regular polygonal hole with $K$ edges, in a reduced Landau-de Gennes framework. This complements our previous work on the "interior problem" for nematic equilibria confined in
Externí odkaz:
http://arxiv.org/abs/2112.05511