Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries

被引：0
作者：
Bernard Derrida
Ori Hirschberg
Tridib Sadhu
机构：
[1] Collège de France,Laboratoire de Physique de l’École Normale Supérieure, ENS
[2] Université PSL,Courant Institute of Mathematical Sciences
[3] CNRS,Department of Theoretical Physics
[4] Sorbonne Université,undefined
[5] Université de Paris,undefined
[6] New York University,undefined
[7] Tata Institute of Fundamental Research,undefined
来源：
Journal of Statistical Physics | 2021年 / 182卷
关键词：
Large deviation function; Exclusion process; Non-equilibrium steady state; Slow boundaries;
D O I：
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摘要：
We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to boundary reservoirs with slow rates. Compared to earlier results, where rates at the boundaries are comparable to the bulk ones, we show how macroscopic fluctuations are modified when the boundary rates are slower by an order of inverse of the system length.
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  • [1] Baldasso R(2017)Exclusion process with slow boundary J. Stat. Phys. 167 1112-1142
  • [2] Menezes O(2010)Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes J. Stat. Phys. 141 1014-1038
  • [3] Neumann A(2001)Fluctuations in stationary nonequilibrium states of irreversible processes Phys. Rev. Lett. 87 40-675
  • [4] Souza RR(2002)Macroscopic fluctuation theory for stationary non-equilibrium states J. Stat. Phys. 107 635-267
  • [5] Bernardin C(2003)Large deviations for the boundary driven symmetric simple exclusion process Math. Phys. Anal. Geom. 6 231-276
  • [6] Landim C(2005)Crrent fluctuations in stochastic lattice gases Phys. Rev. Lett. 94 030,601-872
  • [7] Bertini L(2006)Non equilibrium current fluctuations in stochastic lattice gases J. Stat. Phys. 123 237-636
  • [8] De Sole A(2007)Stochastic interacting particle systems out of equilibrium J. Stat. Mech. 7 P07,014-885
  • [9] Gabrielli D(2009)Towards a nonequilibrium thermodynamics: a self-contained macroscopic description of driven diffusive systems J. Stat. Phys. 135 857-R441
  • [10] Jona-Lasinio G(2015)Macroscopic fluctuation theory Rev. Mod. Phys. 87 593-555
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