1 citations · 1 across the 7 of their papers we have counts for
7 papers
Uniform asymptotics and entropy structure of the Bingham distribution in arbitrary dimensions
Dawei Wu, Lei Zhang, Pingwen Zhang
The Bingham distribution is widely used to model directional data with antipodal symmetry, and its normalizing constant and moments play a central role in statistical inference…
Phason-Driven Diversity of Nucleation Pathways in Icosahedral Quasicrystals
Gang Cui, Lei Zhang, Pingwen Zhang +2
The nucleation of quasicrystals remains a fundamental puzzle, primarily due to the absence of a periodic translational template. Here, we demonstrate that phasons - hidden degrees…
From molecular model to tensor model of nematic liquid crystals through entropy decomposition
Baoming Shi, Dawei Wu, Lei Zhang +1
In the mathematical modeling of nematic liquid crystals, a practical and physically reliable -tensor model can be derived from Onsager's molecular model with the Bingha…
Exploring transition pathways in the Landau-Brazovskii model
Zhiyi Zhang, Gang Cui, Kai Jiang +4
The Landau-Brazovskii model provides a theoretical framework for describing various phases arising from competing short- and long-range interactions in many physical systems. In th…
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…
Understanding high-index saddle dynamics via numerical analysis
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
High-index saddle dynamics (HiSD) serves as a competitive instrument in searching the any-index saddle points and constructing the solution landscape of complex systems. The Lagran…
Semi-implicit method of high-index saddle dynamics and application to construct solution landscape
Yue Luo, Lei Zhang, Pingwen Zhang +2
We analyze the semi-implicit scheme of high-index saddle dynamics, which provides a powerful numerical method for finding the any-index saddle points and constructing the solution…