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.PRLTAO0031-9007 92, 180601 (2004)10.1103/PhysRevLett.92.180601] in certain cases underestimate this probability due to the occurrence of dynamical phase transitions.

Current fluctuations in stochastic lattice gases / BERTINI MALGARINI, Lorenzo; DE SOLE, Alberto; D., Gabrielli; JONA LASINIO, Giovanni; C., Landim. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 94:3(2005), pp. 030601-1-030601-4. [10.1103/physrevlett.94.030601]

Current fluctuations in stochastic lattice gases

BERTINI MALGARINI, Lorenzo;DE SOLE, ALBERTO;JONA LASINIO, Giovanni;
2005

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.PRLTAO0031-9007 92, 180601 (2004)10.1103/PhysRevLett.92.180601] in certain cases underestimate this probability due to the occurrence of dynamical phase transitions.
2005
lattice gas; non-equilibrium thermodynamics; theory of large deviations
01 Pubblicazione su rivista::01a Articolo in rivista
Current fluctuations in stochastic lattice gases / BERTINI MALGARINI, Lorenzo; DE SOLE, Alberto; D., Gabrielli; JONA LASINIO, Giovanni; C., Landim. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 94:3(2005), pp. 030601-1-030601-4. [10.1103/physrevlett.94.030601]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/232476
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