Current fluctuations in stochastic lattice gases

被引:203
作者
Bertini, L
De Sole, A
Gabrielli, D
Jona-Lasinio, G
Landim, C
机构
[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
[2] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
[3] INDAM, I-00185 Rome, Italy
[4] Univ Aquila, Dipartimento Matemat, I-67100 Laquila, Italy
[5] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[6] Univ Roma La Sapienza, Ist Nazl Fis Nucl, I-00185 Rome, Italy
[7] Inst Matematica Pura & Aplicada, BR-22460 Rio De Janeiro, Brazil
[8] Univ Rouen, CNRS, UMR 6085, F-76128 Mont St Aignan, France
关键词
D O I
10.1103/PhysRevLett.94.030601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页数:4
相关论文
共 24 条
[1]  
[Anonymous], 1999, SCALING LIMITS INTER, DOI DOI 10.1007/978-3-662-03752-2
[2]   Minimum dissipation principle in stationary non-equilibrium states [J].
Bertini, L ;
De Sole, A ;
Gabrielli, D ;
Jona-Lasinio, G ;
Landim, C .
JOURNAL OF STATISTICAL PHYSICS, 2004, 116 (1-4) :831-841
[3]   Macroscopic fluctuation theory for stationary non-equilibrium states [J].
Bertini, L ;
De Sole, A ;
Gabrielli, D ;
Jona-Lasinio, G ;
Landim, C .
JOURNAL OF STATISTICAL PHYSICS, 2002, 107 (3-4) :635-675
[4]   Fluctuations in stationary nonequilibrium states of irreversible processes [J].
Bertini, L ;
De Sole, A ;
Gabrielli, D ;
Jona-Lasinio, G ;
Landim, C .
PHYSICAL REVIEW LETTERS, 2001, 87 (04) :40601-1
[5]  
BERTINI L, IN PRESS
[6]   Current fluctuations in nonequilibrium diffusive systems: An additivity principle [J].
Bodineau, T ;
Derrida, B .
PHYSICAL REVIEW LETTERS, 2004, 92 (18) :180601-1
[7]   Current fluctuations in the one-dimensional symmetric exclusion process with open boundaries [J].
Derrida, B ;
Douçot, B ;
Roche, PE .
JOURNAL OF STATISTICAL PHYSICS, 2004, 115 (3-4) :717-748
[8]   Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures [J].
Eckmann, JP ;
Pillet, CA ;
Rey-Bellet, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 201 (03) :657-697
[9]   DYNAMICAL ENSEMBLES IN STATIONARY STATES [J].
GALLAVOTTI, G ;
COHEN, EGD .
JOURNAL OF STATISTICAL PHYSICS, 1995, 80 (5-6) :931-970
[10]  
JORDAN AN, CONDMAT0401650