Finite Size Corrections to the Large Deviation Function of the Density in the One Dimensional Symmetric Simple Exclusion Process

2013/03/28 by Bernard Derrida, B. Derrida, M. Retaux +1
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Asymmetric simple exclusion process #Function (biology) #Large deviations theory #Probability density function #Process (computing) #Rate function #Simple (philosophy) #Steady state (chemistry) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1007/s10955-013-0797-6

arxiv created 2013/03/28 · openalex publication_date 2013/07/25 · arxiv updated 2015/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The symmetric simple exclusion process is one of the simplest out-of-equilibrium systems for which the steady state is known. Its large deviation functional of the density has been computed in the past both by microscopic and macroscopic approaches. Here we obtain the leading finite size correction to this large deviation functional. The result is compared to the similar corrections for equilibrium systems.

Citations

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