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Hydrodynamical Limit for the Asymmetric Simple Exclusion Process
Albert Benassi and Jean-Pierre Fouque
The Annals of Probability
Vol. 15, No. 2 (Apr., 1987), pp. 546-560
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/2244061
Page Count: 15
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We prove a strong law of large numbers for the rescaled asymmetric simple exclusion process. By a coupling procedure we show that the density profile is a weak solution to a first order quasilinear partial differential equation. Moreover, the monotonicity of the process allows us to show that it is the unique solution satisfying the entropy condition. The local equilibrium is then an easy consequence.
The Annals of Probability © 1987 Institute of Mathematical Statistics