The Annals of Probability

The Behavior of the Specific Entropy in the Hydrodynamic Scaling Limit

Elena Kosygina

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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.

Article information

Ann. Probab. Volume 29, Number 3 (2001), 1086-1110.

First available in Project Euclid: 5 March 2002

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Zentralblatt MATH identifier

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 82C22: Interacting particle systems [See also 60K35]

Entropy simple exclusion process hydrodynamic scaling limit hydrodynamic equation


Kosygina, Elena. The Behavior of the Specific Entropy in the Hydrodynamic Scaling Limit. Ann. Probab. 29 (2001), no. 3, 1086--1110. doi:10.1214/aop/1015345597.

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