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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
