2019/05/27 by J. Spiechowicz, J Spiechowicz, P. Hänggi +3
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Anomalous diffusion #Brownian motion #Constant (computer programming) #Diffusion #Diffusion and Search Dynamics #Fick's laws of diffusion #Fractional Differential Equations Solutions #Nonlinear system #Position (finance) #Scaling #cond-mat.mes-hall #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1367-2630/ab3764
published as New J. Phys. 21, 083029 (2019)
arxiv created 2019/05/27 · openalex created_date 2019/05/29 · openalex publication_date 2019/07/31 · arxiv updated 2019/09/04 · openalex updated_date 2026/08/05
Abstract Using extensive numerical studies we demonstrate that absolute negative mobility of a Brownian particle (i.e. the net motion into the direction opposite to a constant biasing force acting around zero bias) does coexist with anomalous diffusion (AD). The latter is characterised in terms of a nonlinear scaling with time of the mean-square deviation of the particle position. Such AD covers ‘coherent’ motion (i.e. the position dynamics x ( t ) approaches in evolving time a constant dispersion), ballistic diffusion, subdiffusion, superdiffusion and hyperdiffusion. In providing evidence for this coexistence we consider a paradigmatic model of an inertial Brownian particle moving in a one-dimensional symmetric periodic potential being driven by both an unbiased time-periodic force and a constant bias. This very setup allows for various sorts of different physical realisations.