Anomalous transport controlled via potential fluctuations

In this paper, we investigate the transport of an inertial Brownian motor moving in an asymmetric periodic potential, where it is driven by a time periodic and a constant biasing driving force, and potential fluctuations generated by a Gaussian white noise. It is found that some anomalous transports (ATs) appear in the presence of the potential fluctuations. For smaller potential fluctuations, we detect that the phenomenons of absolute negative mobility (ANM) near zero bias, and negative nonlinear mobility (NNM) at larger bias away from equilibrium, which means that the inertial Brownian motor moves opposite to the bias force in the two parameter regimes. However for larger potential fluctuations, the phenomenons of both the ANM and NNM vanish. Furthermore, the asymmetry of the potential can also cause the ATs (i.e., both ANM and NNM) to disappear.