119 citations · 773 across the 45 of their papers we have counts for
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Analytic Structure of the SCFT Energy Functional of Multicomponent Block Copolymers
Kai Jiang, Weiquan Xu, Pingwen Zhang
This paper concerns the analytic structure of the self-consistent field theory (SCFT) energy functional of multicomponent block copolymer systems which contain more than two chemic…
Rigorous derivation from Landau-de Gennes theory to Ericksen-Leslie theory
Wei Wang, Pingwen Zhang, Zhifei Zhang
Starting from Beris-Edwards system for the liquid crystal, we present a rigorous derivation of Ericksen-Leslie system with general Ericksen stress and Leslie stress by using the Hi…
Is there a third order phase transition for supercritical fluids?
Jinglong Zhu, Pingwen Zhang, Han Wang +1
We prove that according to Molecular Dynamics (MD) simulations of liquid mixtures of Lennard-Jones (L-J) particles, there is no third order phase transition in the supercritical re…
From microscopic theory to macroscopic theory: a systematic study on static modeling for liquid crystals
Jiequn Han, Yi Luo, Wei Wang +1
In this paper, we propose a systematic way of liquid crystal modeling to build connection between microscopic theory and macroscopic theory. A new Q-tensor theory based on Onsager'…
From microscopic theory to macroscopic theory: symmetries and order parameters of rigid molecules
Jie Xu, Pingwen Zhang
We use density functional theory to describe the phase behaviors of rigid molecules. The construction of kernel function G(x, P, x, P) is discussed. Excluded-volume potential is ca…
From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules
Wei Wang, Pingwen Zhang, Zhifei Zhang
Starting from Doi-Onsager equation for the liquid crystal, we first derive the Q-tensor equation by the Bingham closure. Then we derive the Ericksen-Leslie equation from the Q-tens…
Unstable Galaxy Models
Zhiyu Wang, Yan Guo, Zhiwu Lin +1
The dynamics of collisionless galaxy can be described by the Vlasov-Poisson system. By the Jean's theorem, all the spherically symmetric steady galaxy models are given by a distrib…