46 citations · 367 across the 22 of their papers we have counts for
22 papers
Langevin picture of subdiffusion in nonuniformly expanding medium
Xudong Wang, Yao Chen, Wanli Wang
Anomalous diffusion phenomena have been observed in many complex physical and biological systems. One significant advance recently is the physical extension of particle's motion in…
Langevin picture of anomalous diffusion processes in expanding medium
Xudong Wang, Yao Chen
Expanding medium is very common in many different fields, such as biology and cosmology. It brings a nonnegligible influence on particle's diffusion, which is quite different from…
Different effects of external force fields on aging Lévy walk
Yao Chen, Xudong Wang
Aging phenomena have been observed in numerous physical systems. Many statistical quantities depend on the aging time for aging anomalous diffusion processes. This paper pays…
Random diffusivity processes in an external force field
Xudong Wang, Yao Chen
Brownian yet non-Gaussian processes have recently been observed in numerous biological systems and the corresponding theories have been built based on random diffusivity models. Co…
Novel anomalous diffusion phenomena of underdamped Langevin equation with random parameters
Yao Chen, Xudong Wang
The diffusion behavior of particles moving in complex heterogeneous environment is a very topical issue. We characterize particle's trajectory via an underdamped Langevin system dr…
Ergodic property of random diffusivity system with trapping events
Xudong Wang, Yao Chen
Brownian yet non-Gaussian phenomenon has recently been observed in many biological and active matter systems. The main idea of explaining this phenomenon is to introduce a random d…
Ergodic property of Langevin systems with superstatistical, uncorrelated or correlated diffusivity
Xudong Wang, Yao Chen
Brownian yet non-Gaussian diffusion has recently been observed in numerous biological and active matter system. The cause of the non-Gaussian distribution have been elaborately stu…
Strong anomalous diffusion in two-state process with Lévy walk and Brownian motion
Xudong Wang, Yao Chen, Weihua Deng
Strong anomalous diffusion phenomena are often observed in complex physical and biological systems, which are characterized by the nonlinear spectrum of exponents by measur…
Langevin picture of Lévy walk in a constant force field
Yao Chen, Xudong Wang, Weihua Deng
Lévy walk is a practical model and has wide applications in various fields. Here we focus on the effect of an external constant force on the Lévy walk with the exponent of the powe…
Well-Conditioned Galerkin Spectral Method for Two-Sided Fractional Diffusion Equation with Drift
Lijing Zhao, Xudong Wang
In this paper, we focus on designing a well-conditioned Glarkin spectral methods for solving a two-sided fractional diffusion equations with drift, in which the fractional operator…
Theory of relaxation dynamics for anomalous diffusion processes in harmonic potential
Xudong Wang, Yao Chen, Weihua Deng
Optical tweezers setup is often used to probe the motion of individual tracer particle, which promotes the study of relaxation dynamics of a generic process confined in a harmonic…
Aging two-state process with Lévy walk and Brownian motion
Xudong Wang, Yao Chen, Weihua Deng
With the rich dynamics studies of single-state processes, the two-state processes attract more and more interests of people, since they are widely observed in complex system and ha…
Subdiffusion in an external force field
Yao Chen, Xudong Wang, Weihua Deng
The phenomena of subdiffusion are widely observed in physical and biological systems. To investigate the effects of external potentials, say, harmonic potential, linear potential,…
Ergodic properties of heterogeneous diffusion processes in a potential well
Xudong Wang, Weihua Deng, Yao Chen
Heterogeneous diffusion processes can be well described by an overdamped Langevin equation with space-dependent diffusivity . We investigate the ergodic and non-ergodic behav…
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…
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…
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…
Discontinuous Galerkin methods and their adaptivity for the tempered fractional (convection) diffusion equations
Xudong Wang, Weihua Deng
This paper focuses on the adaptive discontinuous Galerkin (DG) methods for the tempered fractional (convection) diffusion equations. The DG schemes with interior penalty for the di…
Localization and ballistic diffusion for the tempered fractional Brownian-Langevin motion
Yao Chen, Xudong Wang, Weihua Deng
This paper further discusses the tempered fractional Brownian motion, its ergodicity, and the derivation of the corresponding Fokker-Planck equation. Then we introduce the generali…