119 citations · 773 across the 45 of their papers we have counts for
9 papers · 1 filter
Onsager-theory-based dynamic model for nematic phases of bent-core molecules and star molecules
Jie Xu, Pingwen Zhang
We construct the molecular model and the tensor model for the dynamics of the nematic phases of bent-core molecules and star molecules in incompressible fluid. We start from the mo…
Computing optimal interfacial structure of modulated phases
Jie Xu, Chu Wang, An-Chang Shi +1
We propose a general framework of computing interfacial structures between two modulated phases. Specifically we propose to use a computational box consisting of two half spaces, e…
Transition of defect patterns from 2D to 3D in liquid crystals
Yang Qu, Ying Wei, Pingwen Zhang
Defects arise when nematic liquid crystals are under topological constraints at the boundary. Recently the study of defects has drawn a lot of attention. In this paper, we investig…
Application of Self-Consistent Field Theory to Self-Assembled Bilayer Membranes
Pingwen Zhang, An-Chang Shi
Bilayer membranes self-assembled from amphiphilic molecules such as lipids, surfactants and block copolymers are ubiquitous in biological and physiochemical systems. The shape and…
Stability of Soft Quasicrystals in a Coupled-Mode Swift-Hohenberg Model for Three-Component Systems
Kai Jiang, Jiajun Tong, Pingwen Zhang
In this article, we discuss the stability of soft quasicrystalline phases in a coupled-mode Swift-Hohenberg model for three-component systems, where the characteristic length scale…
Stability of Two-Dimensional Soft Quasicrystals
Kai Jiang, Jiajun Tong, Pingwen Zhang +1
The relative stability of two-dimensional soft quasicrystals is examined using a recently developed projection method which provides a unified numerical framework to compute the fr…
On a molecular based Q-tensor model for liquid crystals with density variations
Song Mei, Pingwen Zhang
In this article, we study the new Q-tensor model previously derived from Onsager's molecular theory by Han \textit{et al.} [Arch. Rational Mech. Anal., 215.3 (2014), pp. 741-809] f…
On the Disclination Lines of Nematic Liquid Crystals
Yucheng Hu, Yang Qu, Pingwen Zhang
Defects in liquid crystals are of great practical importance and theoretical interest. Despite tremendous efforts, predicting the location and transition of defects under various t…
A tensor model for nematic phases of bent-core molecules based on molecular theory
Jie Xu, Fangfu Ye, Pingwen Zhang
We construct a tensor model for nematic phases of bent-core molecules from molecular theory. The form of free energy is determined by molecular symmetry, which includes the couplin…