caa a22 4500 467892288 CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s10955-006-9056-4 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9056-4 Non Equilibrium Current Fluctuations in Stochastic Lattice Gases [Elektronische Daten] [L. Bertini, A. Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim] 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 principle for a space-time fluctuation j of the empirical current with a rate functional I(j). We then estimate the probability of a fluctuation of the average current over a large time interval; this probability can be obtained by solving a variational problem for the functional I. We discuss several possible scenarios, interpreted as dynamical phase transitions, for this variational problem. They actually occur in specific models. We finally discuss the time reversal properties of I and derive a fluctuation relationship akin to the Gallavotti-Cohen theorem for the entropy production. Springer Science+Business Media, Inc., 2006 Stationary non equilibrium states nationallicence Stochastic lattice gases nationallicence Current fluctuations nationallicence Gallavotti-Cohen symmetry nationallicence Bertini L. Dipartimento di Matematica, Università di Roma La Sapienza, Piazzale Aldo Moro 2, 00185, Roma, Italy aut Sole A. INDAM, Università di Roma La Sapienza, Piazzale Aldo Moro 2, 00185, Roma, Italy aut Gabrielli D. Dipartimento di Matematica, Università dell'Aquila, 67100, Coppito, L'Aquila, Italy aut Jona-Lasinio G. Dipartimento di Fisica and INFN, Università di Roma "La Sapienza”, Piazzale A. Moro 2, 00185, Roma, Italy aut Landim C. IMPA, Estrada Dona Castorina 110, J. Botanico, 22460, Rio de Janeiro, Brasil aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/2(2006-04-01), 237-276 0022-4715 123:2<237 2006 123 10955 https://doi.org/10.1007/s10955-006-9056-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9056-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bertini L. Dipartimento di Matematica, Università di Roma La Sapienza, Piazzale Aldo Moro 2, 00185, Roma, Italy aut NATIONALLICENCE 700 1- Sole A. INDAM, Università di Roma La Sapienza, Piazzale Aldo Moro 2, 00185, Roma, Italy aut NATIONALLICENCE 700 1- Gabrielli D. Dipartimento di Matematica, Università dell'Aquila, 67100, Coppito, L'Aquila, Italy aut NATIONALLICENCE 700 1- Jona-Lasinio G. Dipartimento di Fisica and INFN, Università di Roma "La Sapienza”, Piazzale A. Moro 2, 00185, Roma, Italy aut NATIONALLICENCE 700 1- Landim C. IMPA, Estrada Dona Castorina 110, J. Botanico, 22460, Rio de Janeiro, Brasil aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/2(2006-04-01), 237-276 0022-4715 123:2<237 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer