title: Current fluctuations in stochastic lattice gases.
abstract: We study current fluctuations in lattice gases in the macroscopic limit extending the dynamic approach for density fluctuations developed in previous articles. More precisely, we establish a large deviation theory for the space-time fluctuations of the empirical current which include the previous results. We then estimate the probability of a fluctuation of the average current over a large time interval. It turns out that recent results by Bodineau and Derrida [Phys. Rev. Lett. 92, 180601 (2004)]] in certain cases underestimate this probability due to the occurrence of dynamical phase transitions.
authors.affiliation: Dipartimento di Matematica, Università di Roma La Sapienza, Piazza A. Moro 2, 00185 Roma, Italy.
authors.forename: L
authors.initials: L
authors.lastname: Bertini
authors.forename: A
authors.initials: A
authors.lastname: De Sole
authors.forename: D
authors.initials: D
authors.lastname: Gabrielli
authors.forename: G
authors.initials: G
authors.lastname: Jona-Lasinio
authors.forename: C
authors.initials: C
authors.lastname: Landim