2018/10/09 by Xudong Wang, Yao Chen, Weihua Deng · 33 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Brownian dynamics #Brownian motion #Classical mechanics #Diffusion #Diffusion and Search Dynamics #Displacement (psychology) #Fractional Differential Equations Solutions #Inverse #Langevin dynamics #Langevin equation #Mathematics #Mean squared displacement #Molecular dynamics #Physics #Quantum mechanics #Random walk #Statistical physics #Stochastic process #Stochastic processes and statistical mechanics #Subordinator #cond-mat.stat-mech
paper · pdf · doi:10.1088/1367-2630/aaf764
published in New Journal of Physics 21(1), 013024 (IOP Publishing) · 24 pages, 4 figures
arxiv created 2018/10/09 · openalex publication_date 2018/12/10 · arxiv updated 2019/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Continuous-time random walks and Langevin equations are two classes of stochastic models used to describe the dynamics of particles in the natural world. While some of the processes can be conveniently characterized by both of them, more often one model has significant advantages (or has to be used) compared with the other one. In this paper, we consider the weakly damped Langevin system coupled with a new subordinator— α -dependent subordinator with 1 < α < 2. We pay attention to the diffusive behavior of the stochastic process described by this coupled Langevin system, and find the super-ballistic diffusion phenomenon for the system with an unconfined potential on velocity but sub-ballistic superdiffusion phenomenon with a confined potential, which is like Lévy walk for long times. One can further note that the two-point distribution of inverse subordinator affects mean square displacement of this coupled weakly damped Langevin system in essential.