Memory-induced absolute negative mobility

Non-Markovian systems form a broad area of physics that remains greatly unexplored despite years of intensive investigations. The spotlight is on memory as a source of effects that are absent in their Markovian counterparts. In this work we dive into this problem and analyze a driven Brownian particle moving in a spatially periodic potential and exposed to correlated thermal noise. We show that the absolute negative mobility effect, in which the net movement of the particle is in direction opposite to the average force acting on it, may be induced by the memory of the setup. To explain the origin of this phenomenon we resort to the recently developed effective mass approach to dynamics of non-Markovian systems.