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Phys. Rev. Lett. 94, 030601 (2005) [4 pages]

Current Fluctuations in Stochastic Lattice Gases

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L. Bertini1, A. De Sole2, D. Gabrielli3, G. Jona-Lasinio4, and C. Landim5
1Dipartimento di Matematica, Università di Roma “La Sapienza,” Piazza A. Moro 2, 00185 Roma, Italy
2Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138, USA, and INDAM, Piazza A. Moro 2, 00185 Roma, Italy
3Dipartimento di Matematica, Università dell'Aquila, 67100 Coppito, L’Aquila, Italy
4Dipartimento di Fisica and INFN, Università di Roma “La Sapienza,” Piazza A. Moro 2, 00185 Roma, Italy
5IMPA, Estrada Dona Castorina 110, J. Botanico, 22460 Rio de Janeiro, Brazil, and CNRS UMR 6085, Université de Rouen, 76128 Mont-Saint-Aignan Cedex, France

Received 7 July 2004; published 25 January 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.030601
DOI:
10.1103/PhysRevLett.94.030601
PACS:
05.20.–y, 05.40.–a, 05.60.–k, 05.70.Ln
 
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