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Using extensive numerical studies we demonstrate that absolute negativemobility of a Brownian particle (i.e. the net motion into the directionopposite to a constant biasing force acting around zero bias) does coexist withanomalous diffusion. The latter is characterized in terms of a nonlinearscaling with time of the mean-square deviation of the particle position. Suchanomalous 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 thiscoexistence we consider a paradigmatic model of an inertial Brownian particlemoving in a one-dimensional symmetric periodic potential being driven by bothan unbiased time-periodic force and a constant bias. This very setup allows forvarious sorts of different physical realizations.

Coexistence of absolute negative mobility and anomalous diffusion