Abstract
We prove the hydrodynamic limit of Ginzburg-Landau models by considering relative entropy and its rate of change with respect to local Gibbs states. This provides a new understanding of the role played by relative entropy in the hydrodynamics of interacting particle systems.
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References
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Work partially supported by U.S. National Science Foundation Grant. DMS-8806731 and Army Grant ARO-DAAL 03-88-K-0047.