58 citations · 94 across the 11 of their papers we have counts for
12 papers
Tensor gradient flow for rod-like liquid crystals from molecular model with closure approximation by quasi-entropy
Yongyong Cai, Jie Xu, Haixin Zhang
In tensor dynamics for liquid crystals derived from molecular models, a common problem is closure approximation. For rod-like molecules, the Bingham closure has proved to outperfor…
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in
Sirui Li, Chenchen Wang, Jie Xu
We consider the hydrodynamics for biaxial nematic phases described by a field of orthonormal frame, which can be derived from a molecular-theory-based tensor model. We prove the un…
Rigorous biaxial limit of a molecular-theory-based two-tensor hydrodynamics
Sirui Li, Jie Xu
We consider a two-tensor hydrodynamics derived from the molecular model, where high-order tensors are determined by closure approximation through the maximum entropy state or the q…
Well-posedness of frame hydrodynamics for biaxial nematic liquid crystals
Sirui Li, Chenchen Wang, Jie Xu
We consider the hydrodynamics for the biaxial nematic phase characterized by a field of orthonormal frame, which can be derived from a molecular-theory-based tensor model. In dimen…
Frame hydrodynamics of biaxial nematics from molecular-theory-based tensor models
Sirui Li, Jie Xu
Starting from a dynamic tensor model about two second-order tensors, we derive the frame hydrodynamics for the biaxial nematic phase using the Hilbert expansion. The coefficients i…
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…
A Fast Algorithm for the Moments of Bingham Distribution
Yixiang Luo, Jie Xu, Pingwen Zhang
We propose a fast algorithm for evaluating the moments of Bingham distribution. The calculation is done by piecewise rational approximation, where interpolation and Gaussian integr…
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…
Computing optimal interfacial structure of ordered phases
Jie Xu, Chu Wang, An-Chang Shi +1
We propose a general framework of computing interfacial structure. If an ordered phase is involved, the interfacial structure can be obtained by simply minimizing the free energy w…
The transmission of symmetry in liquid crystals
Jie Xu, Pingwen Zhang
The existing experiments and simulations suggest that the molecular symmetry is always transmitted to homogeneous phases in liquid crystals. It has been proved for rod-like molecul…
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…
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…