- 02-522 T. Bodineau, G. Giacomin
- From dynamic to static Large Deviations in boundary driven exclusion particle systems.
(58K, LaTeX 2e )
Dec 17, 02
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Abstract. 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.
This result is motivated by the recent developments on the
non-equilibrium stationary measures by Derrida, Lebowitz and Speer
and the more closely related dynamical approach by Bertini, De Sole, Gabrielli, Jona Lasinio, Landim.