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.
Highlights
Phenomena of anomalous transport often appear to be paradoxical, non-intuitive and contrary to our everyday observations
With this work we answer the question whether it is possible to observe a coexistence of two anomalous transport manifestations, namely absolute negative mobility (ANM) and anomalous diffusion (AD) of a nonlinear nonequilibrium inertial Brownian motion assisted by thermal fluctuations, i.e. a system in contact with heat bath of temperature T
In doing so we explicitly considered inertial Brownian particle moving in a periodic symmetric potential which in addition is exposed to a cosinusoidal external driving and driven by a constant bias
Summary
Bias) does coexist with anomalous diffusion (AD) The latter is characterised in terms of a nonlinear. Any further distribution of this work must maintain scaling with time of the mean-square deviation of the particle position. 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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