Hydrodynamics and large deviation for simple exclusion processes. (English) Zbl 0644.76001

Kipnis, C.; Olla, S.; Varadhan, S. R. S.

Commun. Pure Appl. Math. 42, No. 2, 115-137 (1989).

We prove the hydrodynamical limit for weakly asymmetric simple exclusion processes. A large deviation property with respect to this limit is established for the symmetric case. We treat also the situation where a slow reaction (creation and annihilation of particles) is present.

Reviewer: C.Kipnis

MSC:

76A02	Foundations of fluid mechanics
82B05	Classical equilibrium statistical mechanics (general)
76M99	Basic methods in fluid mechanics

Keywords:

hydrodynamical limit; weakly asymmetric simple exclusion processes; large deviation property; slow reaction; annihilation of particles

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