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The behavior of the specific entropy in the hydrodynamic scaling limit. (English) Zbl 1018.60096

The paper concerns simple exclusion process on the periodic integer lattice. Given a deterministic initial configuration, with macroscopic profile, convergence of the specific microscopic entropy to the macroscopic entropy, calculated from the relevant solution of the hydrodynamic equation, is established.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
83C22 Einstein-Maxwell equations
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References:

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