Work

Coexistence of absolute negative mobility and anomalous diffusion

Year: 2019

Type: article

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.

Source: New Journal of Physics

DOI: 10.1088/1367-2630/ab3764

Authors: J Spiechowicz, P Hänggi, J Łuczka

Institutions: University of Silesia in Katowice, University of Augsburg, Nanosystems Initiative Munich

Language: English

Topic: stochastic dynamics and bifurcation

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,140

Funder: Narodowe Centrum Nauki