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

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


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


[1] Dawson, Stochastics 20 pp 247– (1987) · Zbl 0613.60021
[2] DeMasi, J. Stat. Phys. 44 pp 589– (1986)
[3] , , and , A survey of the hydrodynamical behavior of many particle systems, Studies in Statistical Mechanics 11, and , eds., North-Holland, 1984, pp. 123–294.
[4] , and , The Weakly Asymmetric Simple Exclusion Processes, CARR Reports in Mathematical Physics, 1987.
[5] Donsker, Comm. Pure Appl. Math 42 (1989)
[6] Gartner, Stochastic Processes and their Applications 27 pp 233– (1988)
[7] and , Large deviations from the hydrodynamical limit for a system of independent Brownian particles, to appear in Stochastics. · Zbl 0734.60099
[8] Papanicolaou, Comm. Math. Phys. 118 pp 31– (1988)
[9] Large Deviations and Applications, CBMS-NSF Regional Conference Series in Applied Mathematics 46, Philadelphia, Society for Industrial and Applied Mathematics, 1984.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.