Breakdown of Gallavotti-Cohen symmetry for stochastic dynamicsR. J. Harris1, A. Rákos2 and G. M. Schütz1
1 Institut für Festkörperforschung, Forschungszentrum Jülich - 52425 Jülich, Germany
2 Department of Physics of Complex Systems, Weizmann Institute of Science Rehovot 76100, Israel
received 21 March 2006; accepted in final form 26 May 2006
published online 14 June 2006
We consider the behaviour of current fluctuations in the one-dimensional partially asymmetric zero-range process with open boundaries. Significantly, we find that the distribution of large current fluctuations does not satisfy the Gallavotti-Cohen symmetry and that such a breakdown can generally occur in systems with unbounded state space. We also discuss the dependence of the asymptotic current distribution on the initial state of the system.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
02.50.Ey - Stochastic processes.
© EDP Sciences 2006