Irreversible effects of memory

Abstract

The steady state of a Langevin equation with short ranged memory and coloured\nnoise is analyzed. When the fluctuation-dissipation theorem of second kind is\nnot satisfied, the dynamics is irreversible, i.e. detailed balance is violated.\nWe show that the entropy production rate for this system should include the\npower injected by ``memory forces''. With this additional contribution, the\nFluctuation Relation is fairly verified in simulations. Both dynamics with\ninertia and overdamped dynamics yield the same expression for this additional\npower. The role of ``memory forces'' within the fluctuation-dissipation\nrelation of first kind is also discussed.\n