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Fluctuation Dissipation Equation for Lattice Gas with Energy
Authors:Yukio Nagahata
Institution:(1) Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro Tokyo, 152–8551, Japan
Abstract:In this paper we introduce a ldquolattice gas with energy,rdquo and obtain the ldquofluctuation dissipation equationrdquo for it. The system has two conserved quantities, the number of particles and the total energy. Once the ldquofluctuation dissipation equationrdquo is established, the hydrodynamic limit is easily deduced from it by using the methods found in ref. 1 for this model.
Keywords:fluctuation dissipation equation  lattice gas  hydrodynamic limit
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