On the convergence of entropy for stationary exclusion processes with open boundaries (Q885045)

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scientific article; zbMATH DE number 5162431
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On the convergence of entropy for stationary exclusion processes with open boundaries
scientific article; zbMATH DE number 5162431

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    On the convergence of entropy for stationary exclusion processes with open boundaries (English)
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    7 June 2007
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    This paper deals with stochastic lattice gases in contact with reservoir, and it provides a rigorous proof that the leading-order term of the Gibbs-Shannon entropy in the non-equilibrium stationary state is given by the local equilibrium entropy. The argument follows a result of Kosygina in accordance of which local equilibrium is sufficient to deal with the leading-order asymptotic entropy.
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    exclusion process
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    lattice gas
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    non-equilibrium stationary state
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    hydrostatic limit
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    entropy
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    local equilibrium
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