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

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-pot...

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Veröffentlicht in:	Stochastic processes and their applications 2004-03, Vol.110 (1), p.67-81
Hauptverfasser:	Bodineau, Thierry, Giacomin, Giambattista
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Exclusion process Freidlin–Wentzell approach Hydrodynamic limit Large deviations Mathematics Open systems Particle systems Particle systems Exclusion process Open systems Steady states Large deviations Hydrodynamic limit Freidlin-Wentzell approach Probability Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications) Steady states
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