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July 2001 The Behavior of the Specific Entropy in the Hydrodynamic Scaling Limit
Elena Kosygina
Ann. Probab. 29(3): 1086-1110 (July 2001). DOI: 10.1214/aop/1015345597

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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Elena Kosygina. "The Behavior of the Specific Entropy in the Hydrodynamic Scaling Limit." Ann. Probab. 29 (3) 1086 - 1110, July 2001. https://doi.org/10.1214/aop/1015345597

Information

Published: July 2001
First available in Project Euclid: 5 March 2002

zbMATH: 1018.60096
MathSciNet: MR1872737
Digital Object Identifier: 10.1214/aop/1015345597

Subjects:
Primary: 60K35
Secondary: 82C22

Keywords: Entropy , hydrodynamic equation , hydrodynamic scaling limit , simple exclusion process

Rights: Copyright © 2001 Institute of Mathematical Statistics

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Vol.29 • No. 3 • July 2001
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