Summary
A lattice system of interacting diffusion processes is investigated. The evolution is attractive and time reversible, the spin satisfies a conservation law. It is shown that the rescaled spin field converges in probability to the corresponding solution to a nonlinear diffusion equation.
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Supported in part by the Hungarian National Foundation for Scientific Research, grant No. 819/1, and by the Mathematical Department of Rutgers University, N.S.F. grant DMR 8612369
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Fritz, J. On the hydrodynamic limit of a Ginzburg-Landau lattice model. Probab. Th. Rel. Fields 81, 291–318 (1989). https://doi.org/10.1007/BF00319556
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DOI: https://doi.org/10.1007/BF00319556