381 citations · 1k across the 39 of their papers we have counts for
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Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise
Xing Liu, Weihua Deng
This paper discusses the fractional diffusion equation forced by a tempered fractional Gaussian noise. The fractional diffusion equation governs the probability density function of…
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…
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…
First exit and Dirichlet problem for the nonisotropic tempered -stable processes
Xing Liu, Weihua Deng
This paper discusses the first exit and Dirichlet problems of the nonisotropic tempered -stable process . The upper bounds of all moments of the first exit position $\left|…