381 citations · 1k across the 39 of their papers we have counts for
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Langevin dynamics for Lévy walk with memory
Yao Chen, Xudong Wang, Weihua Deng
Memory effects, sometimes, can not be neglected. In the framework of continuous time random walk, memory effect is modeled by the correlated waiting times. In this paper, we derive…
Central local discontinuous Galerkin method for the space fractional diffusion equation
Jing Sun, Daxin Nie, Weihua Deng
This paper provides the semi-discrete scheme by the central local discontinuous Galerkin method for space fractional diffusion equation on two sets of overlapping cells, and then w…
Renewal theory with fat tailed distributed sojourn times: typical versus rare
Wanli Wang, Johannes H. P. Schulz, Weihua Deng +1
Renewal processes with heavy-tailed power law distributed sojourn times are commonly encountered in physical modelling and so typical fluctuations of observables of interest have b…
Lévy-walk-like Langevin dynamics
Xudong Wang, Yao Chen, Weihua Deng
Continuous time random walks and Langevin equations are two classes of stochastic models for describing the dynamics of particles in the natural world. While some of the processes…
Tempered fractional Langevin-Brownian motion with inverse -stable subordinator
Yao Chen, Xudong Wang, Weihua Deng
Time-changed stochastic processes have attracted great attention and wide interests due to their extensive applications, especially in financial time series, biology and physics. T…
Feynman-Kac equation revisited
Xudong Wang, Yao Chen, Weihua Deng
Functionals of particles' paths have diverse applications in physics, mathematics, hydrology, economics, and other fields. Under the framework of continuous time random walk (CTRW)…
Nonlocal Diffusion Operators for Normal and Anomalous Dynamics
Weihua Deng, Xudong Wang, Pingwen Zhang
The Laplacian is the infinitesimal generator of isotropic Brownian motion, being the limit process of normal diffusion, while the fractional Laplacian serves as the i…
Numerical methods for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion
Xing Liu, Weihua Deng
In this paper, we study the numerical schemes for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion.…
Phase Transition Dynamics and Stochastic Resonance in Topologically Confined Nematic Liquid Crystals
Yucheng Hu, Liu Hong, Weihua Deng
Topological defects resulted from boundary constraints in confined liquid crystals have attracted extensive research interests. In this paper, we use numerical simulation to study…
Resonant behavior of the generalized Langevin system with tempered Mittag-Leffler memory kernel
Yao Chen, Xudong Wang, Weihua Deng
The generalized Langevin equation describes anomalous dynamics. Noise is not only the origin of uncertainty but also plays a positive role in helping to detect signal with informat…