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The Behavior of the Specific Entropy in the Hydrodynamic Scaling Limit

Elena Kosygina
The Annals of Probability
Vol. 29, No. 3 (Jul., 2001), pp. 1086-1110
Stable URL: http://www.jstor.org/stable/2692026
Page Count: 25
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Abstract

The paper studies the behavior of the specific entropy for one-dimensional simple exclusion processes under the hydrodynamic scaling of time and space. It is shown that if the initial configurations possess a macroscopic profile then for each positive macroscopic time the specific microscopic entropy converges to the macroscopic entropy. The latter is defined in terms of the solution of the corresponding hydrodynamic equation.

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