35 citations · 143 across the 24 of their papers we have counts for
25 papers
Using the Renormalized Energy from Ginzburg-Landau Theory to Compute Solution Landscapes in the Reduced Landau-de Gennes Theory
Yucen Han, Apala Majumdar
We study nematic liquid crystal phases confined to bounded, two-dimensional (2D) domains, in the reduced Landau-de Gennes (rLdG) theoretical framework. The rLdG framework is equiva…
Computing stable configurations of confined smectic liquid crystals with a deep variational framework
Yuchen Xie, Baoming Shi, Yucen Han +1
Smectic liquid crystals are layered liquid-crystalline phases characterized by orientational order and periodic density modulation. Although their structures can be modeled using c…
Nematic equilibria in isosceles triangles: The effects of edge length and apex angle on solution landscapes in a reduced Landau-de Gennes framework
Prabakaran Rajamanickam, Yucen Han, Thuriya Alhinai +1
We study equilibrium configurations of nematic liquid crystals confined to two-dimensional isosceles triangles, subject to tangent boundary conditions. This toy problem is motivate…
Tensorial Model of Chiral Smectic C Liquid Crystals
Jingmin Xia, Jinbing Wu, Yucen Han
We propose a continuum tensorial model for chiral smectic C (SmC) liquid crystals using a tensor-valued order parameter to describe orientational order and a real-…
Landau-de Gennes Modelling of Confinement Effects and Cybotactic Clusters in Bent-Core Nematic Liquid Crystals
Yucen Han, Prabakaran Rajamanickam, Bedour Alturki +1
We study bent-core nematic (BCN) systems in two-dimensional (2D) and three-dimensional (3D) settings, focusing on the role of cybotactic clusters, phase transitions, confinement ef…
A Modified Landau-de Gennes Theory for Smectic Liquid Crystals: Phase Transitions and Structural Transitions
Baoming Shi, Yucen Han, Chengdi Ma +2
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 $\ma…
A diffuse-interface Landau-de Gennes model for free-boundary problems in the theory of nematic liquid crystals
Dawei Wu, Baoming Shi, Yucen Han +3
We introduce a diffuse-interface Landau-de Gennes free energy for nematic liquid crystals (NLC) systems, with free boundaries, in three dimensions submerged in isotropic liquid, an…
A Simple Tensorial Theory of Smectic C Liquid Crystals
Jingmin Xia, Yucen Han
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 no…
Topological Defects as Nucleation Points of the Nematic--Isotropic Phase Transition in Liquid Crystal Shells
Yucen Han, Jan Lagerwall, Apala Majumdar
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 to…
Multistability for Nematic Liquid Crystals in Cuboids with Degenerate Planar Boundary Conditions
Baoming Shi, Yucen Han, Apala Majumdar +1
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…
The Radial Hedgehog Solution in the Landau-de Gennes Theory: Effects of the Bulk Potentials
Sophie McLauchlan, Yucen Han, Matthias Langer +1
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 potenti…
A Reduced Landau-de Gennes Study for Nematic Equilibria in Three-Dimensional Prisms
Yucen Han, Baoming Shi, Lei Zhang +1
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…
A Multi-Faceted Study of Nematic Order Reconstruction in Microfluidic Channels
James Dalby, Yucen Han, Apala Majumdar +1
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 ex…
Hierarchies of Critical Points of a Landau-de Gennes Free Energy on Three-Dimensional Cuboids
Baoming Shi, Yucen Han, Jianyuan Yin +2
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 a…
Multistability for a Reduced Nematic Liquid Crystal Model in the Exterior of 2D Polygons
Yucen Han, Apala Majumdar
We study nematic equilibria in an unbounded domain, with a two-dimensional regular polygonal hole with edges, in a reduced Landau-de Gennes framework. This complements our prev…
Uniaxial versus Biaxial Pathways in One-Dimensional Cholesteric Liquid Crystals
Yucen Han, James Dalby, Benjamin MGD Carter +2
Cholesteric liquid crystals exhibit great morphological richness of static metastable states. Understanding the transitions between such states is key for the development of switch…
Nematic liquid crystals in a rectangular confinement: solution landscape and bifurcation
Baoming Shi, Yucen Han, Lei Zhang
We study the solution landscape and bifurcation diagrams of nematic liquid crystals confined on a rectangle, using a reduced two-dimensional Landau--de Gennes framework in terms of…
Pattern Formation for Nematic Liquid Crystals-Modelling, Analysis, and Applications
Yucen Han, Apala Majumdar
We summarise some recent results on solution landscapes for two-dimensional (2D) problems in the Landau--de Gennes theory for nematic liquid crystals. We study energy-minimizing an…
Solution Landscapes of the Simplified Ericksen--Leslie Model and its Comparison with the Reduced Landau--de Gennes Model
Yucen Han, Jianyuan Yin, Yucheng Hu +2
We investigate the solution landscapes of a simplified Ericksen--Leslie (sEL) vector model for nematic liquid crystals, confined in a two-dimensional square domain with tangent bou…
Elastic anisotropy of nematic liquid crystals in the two-dimensional Landau-de Gennes model
Yucen Han, Joseph Harris, Lei Zhang +1
We study the effects of elastic anisotropy on the Landau-de Gennes critical points for nematic liquid crystals, in a square domain. The elastic anisotropy is captured by a paramete…
Tailored Nematic and Magnetization Profiles on 2D Polygons
Yucen Han, Joseph Harris, Joshua Walton +1
We study dilute suspensions of magnetic nanoparticles in a nematic host, on two-dimensional (2D) polygons. These systems are described by a nematic order parameter and a spontaneou…
Solution landscapes of the diblock copolymer-homopolymer model under two-dimensional confinement
Zhen Xu, Yucen Han, Jianyuan Yin +3
We investigate the solution landscapes of the confined diblock copolymer and homopolymer in two-dimensional domain by using the extended Ohta--Kawasaki model. The projected saddle…
Solution landscape of a reduced Landau-de Gennes model on a hexagon
Yucen Han, Jianyuan Yin, Pingwen Zhang +2
We investigate the solution landscape of a reduced Landau--de Gennes model for nematic liquid crystals on a two-dimensional hexagon at a fixed temperature, as a function of ---t…
Pathways connecting two opposed bilayers with a fusion pore: A molecularly-informed phase field approach
Yucen Han, Zirui Xu, An-Chang Shi +1
A phase field model with two phase fields, representing the concentration and the head-tail separation of amphiphilic molecules, respectively, has been constructed using an extensi…