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
[21]   Reciprocal relations in irreversible processes. II. [J].
Onsager, L .
PHYSICAL REVIEW, 1931, 38 (12) :2265-2279
[22]   Stochastic path integral formulation of full counting statistics -: art. no. 206801 [J].
Pilgram, S ;
Jordan, AN ;
Sukhorukov, EV ;
Büttiker, M .
PHYSICAL REVIEW LETTERS, 2003, 90 (20) :4
[23]  
ROCHE PE, CONDMAT0312659
[24]  
Spohn H., 2012, Large scale dynamics of interacting particles