2020/11/03 by Tian Zhou, Pengbo Xu, Weihua Deng · 10 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Anomalous diffusion #Computer science #Continuous-time random walk #Diffusion #Diffusion and Search Dynamics #Dynamics (music) #Field (mathematics) #Fractional Differential Equations Solutions #Gaussian #Harmonic #Hermite polynomials #Innovation diffusion #Mathematical analysis #Mathematics #Perspective (graphical) #Physics #Pure mathematics #Quantum mechanics #Random walk #Statistical physics #Statistics #cond-mat.stat-mech #physics.data-an #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.103.032151
published in Physical review. E 103(3), 032151 (American Physical Society) · 13 pages, 10 figures
arxiv created 2020/11/03 · openalex publication_date 2021/03/29 · arxiv updated 2021/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Lévy walk process is one of the most effective models to describe superdiffusion, which underlies some important movement patterns and has been widely observed in micro- and macrodynamics. From the perspective of random walk theory, here we investigate the dynamics of Lévy walks under the influences of the constant force field and the one combined with harmonic potential. Utilizing Hermite polynomial approximation to deal with the spatiotemporally coupled analysis challenges, some striking features are detected, including non-Gaussian stationary distribution, faster diffusion, still strongly anomalous diffusion, etc.