39 citations · 82 across the 10 of their papers we have counts for
10 papers
The Riemann Hypothesis Emerges in Dynamical Quantum Phase Transitions
ShiJie Wei, Yue Zhai, Quanfeng Lu +7
The Riemann Hypothesis (RH), one of the most profound unsolved problems in mathematics, concerns the nontrivial zeros of the Riemann zeta function. Establishing connections between…
Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances
Jose A. Carrillo, Li Wang, Chaozhen Wei
We develop structure preserving schemes for a class of nonlinear mobility continuity equation. When the mobility is a concave function, this equation admits a form of gradient flow…
Inferring relative surface elastic moduli in thin-wall models of single cells
Yaqi Deng, Chaozhen Wei, Rholee Xu +2
There is a growing interest in measuring the cell wall mechanical property at different locations in single walled cells. We present an inference scheme that maps relative surface…
An Eulerian nonlinear elastic model for compressible and fluidic tissue with radially symmetric growth
Chaozhen Wei, Min Wu
Cell proliferation, apoptosis, and myosin-dependent contraction can generate elastic stress and strain in living tissues, which may be dissipated by internal rearrangement through…
Bound states in the continuum are universal under the effect of minimal length
Zhang Xiao, Yang Bo, Wei Chaozhen +1
Bound states in the continuum (BICs) are generally considered unusual phenomena. In this work, we provide a method to analyze the spatial structure of particle's bound states in th…
Grain boundary triple junction dynamics: a continuum disconnection model
Chaozhen Wei, Luchan Zhang, Jian Han +2
The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs), along which three GBs meet. The evolution of such microst…
A Continuum Multi-Disconnection-Mode Model for Grain Boundary Migration
Chaozhen Wei, Spencer L. Thomas, Jian Han +2
We study the Grain Boundary (GB) migration based on the underlying disconnection structure and mechanism. Disconnections are line defects that lie solely within a GB and are charac…
Primal dual methods for Wasserstein gradient flows
Jose A. Carrillo, Katy Craig, Li Wang +1
Combining the classical theory of optimal transport with modern operator splitting techniques, we develop a new numerical method for nonlinear, nonlocal partial differential equati…
Bound states in the continuum of fractional Schrödinger equation in the Earth's gravitational field and their effects in the presence of a minimal length: applications to distinguish ultralight particles
Xiao Zhang, Bo Yang, Chaozhen Wei +1
In this paper, the influence of the fractional dimensions of the Lévy path under the Earth's gravitational field is studied, and the phase transitions of energy and wave functions…
A Fokker-Planck reaction model for the epitaxial growth and shape transition of quantum dots
Chaozhen Wei, Brian J. Spencer
We construct a Fokker-Planck reaction model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots. The Fokker-Planck…