Absolute negative mobility of inertial Brownian particles induced by noise

We study transport of a harmonically driven inertial particle moving in a symmetric periodic potential and subjected to both unbiased Gaussian thermal equilibrium noise and biased non-equilibrium Poissonian shot noise. The dependence of the average velocity on noise parameters exhibits a rich variety of anomalous transport characteristics: We identify an absolute negative mobility around zero biasing noise, the emergence of a negative differential mobility and the occurrence of a negative nonlinear mobility. As a feasible physical system we propound a setup consisting of a single resistively and capacitively shunted Josephson junction device.