Coexistence of absolute negative mobility and anomalous diffusion

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. The latter is characterized in terms of a nonlinear scaling with time of the mean-square deviation of the particle position. Such anomalous diffusion 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 realizations.

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Cited by in corpus (14)

• Colossal Brownian yet non-Gaussian diffusion induced by nonequilibrium noise
• Diffusion in a biased washboard potential revisited
• Anomalous transport in driven periodic systems: distribution of the absolute negative mobility effect in the parameter space
• Periodic potential can enormously boost free particle transport induced by active fluctuations
• Arcsine Law and Multistable Brownian Dynamics in a Tilted Periodic Potential
• Mechanism for giant enhancement of transport induced by active fluctuations
• Anomalous transport of a classical wave-particle entity in a tilted potential
• Paradoxical nature of negative mobility in the weak dissipation regime
• Giant oscillations of diffusion in ac-driven periodic systems
• Velocity multistability vs ergodicity breaking in a biased periodic potential
• Colossal Brownian yet non-Gaussian diffusion in a periodic potential: impact of nonequilibrium noise amplitude statistics
• Inverse currents in Coulomb-coupled quantum dots
• Conundrum of weak noise limit for diffusion in a tilted periodic potential
• Current reversals in driven lattice gases and Brownian motion