Irreversible effects of memory

The steady state of a Langevin equation with short ranged memory and
coloured noise is analyzed. When the fluctuation-dissipation theorem
of second kind is not satisfied, the dynamics is irreversible,
i.e. detailed balance is violated. We show that the entropy production
rate for this system should include the power injected by ``memory
forces". With this additional contribution, the Fluctuation Relation
is verified. The role of ``memory forces" within the
fluctuation-dissipation relation of first kind is also discussed.