Volume 88, Number 3, November 2009
|Number of page(s)||6|
|Published online||13 November 2009|
Irreversible effects of memory
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
Corresponding author: firstname.lastname@example.org
Accepted: 16 October 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.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2009
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