Volume 88, Number 3, November 2009
Article Number 30004
Number of page(s) 6
Section General
Published online 13 November 2009
EPL, 88 (2009) 30004
DOI: 10.1209/0295-5075/88/30004

Irreversible effects of memory

A. Puglisi and D. Villamaina

CNR-INFM SMC and ISC - p.le A. Moro 2, 00185, Roma, Italy, EU and Dipartimento di Fisica, Università Sapienza - p.le A. Moro 2, 00185, Roma, Italy, EU

received 31 July 2009; accepted in final form 16 October 2009; published November 2009
published online 13 November 2009

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 fairly verified in simulations. Both dynamics with inertia and overdamped dynamics yield the same expression for this additional power. The role of “memory forces” within the fluctuation-dissipation relation of first kind is also discussed.

05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.

© EPLA 2009