4.6 Article

Coexistence of absolute negative mobility and anomalous diffusion

期刊

NEW JOURNAL OF PHYSICS
卷 21, 期 -, 页码 -

出版社

IOP Publishing Ltd
DOI: 10.1088/1367-2630/ab3764

关键词

anomalous diffusion; negative mobility; Brownian particle

资金

  1. [NCN2017/26/D/ST2/00543]
  2. [NCN2015/19/B/ST2/02856]

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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.

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