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.Comment: in press in Chao