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Hydrodynamic limit for a system with finite range interactions

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Abstract

We study a system of interacting diffusions. The variables present the amount of charge at various sites of a periodic multidimensional lattice. The equilibrium states of the diffusion are canonical Gibbs measures of a given finite range interaction. Under an appropriate scaling of lattice spacing and time, we derive the hydrodynamic limit for the evolution of the macroscopic charge density.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012, New York, NY, USA

    Fraydoun Rezakhanlou

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  1. Fraydoun Rezakhanlou
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Communicated by J. L. Lebowitz

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Rezakhanlou, F. Hydrodynamic limit for a system with finite range interactions. Commun.Math. Phys. 129, 445–480 (1990). https://doi.org/10.1007/BF02097101

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  • DOI: https://doi.org/10.1007/BF02097101

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