From dynamic to static large deviations in boundary driven exclusion particle systems

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• 作者：Bodineau ; Thierry ; Giacomin ; Giambattista
• 关键词：60K35 ; Particle systems ; Exclusion process ; Open systems ; Steady states ; Large deviations ; Hydrodynamic limit ; Freidlin&ndash ; Wentzell approach
• 刊名：Stochastic Processes and their Applications
• 出版年：2004
• 出版时间：March, 2004
• 年：2004
• 卷：110
• 期：1
• 页码：67-81
• 全文大小：281 K

文摘

We consider the large deviations for the stationary measures associated to a boundary driven symmetric simple exclusion process. Starting from the large deviations for the hydrodynamics and following the Freidlin and Wentzell's strategy, we prove that the rate function is given by the quasi-potential of the Freidlin and Wentzell theory.