Europhys. Lett.
Volume 75, Number 2, July 2006
Page(s) 227 - 233
Section General
Published online 14 June 2006
Europhys. Lett., 75 (2), pp. 227-233 (2006)
DOI: 10.1209/epl/i2006-10102-1

Breakdown of Gallavotti-Cohen symmetry for stochastic dynamics

R. 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