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On the hydrodynamic limit of a Ginzburg-Landau lattice model
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  • Published: June 1989

On the hydrodynamic limit of a Ginzburg-Landau lattice model

The law of large numbers in arbitrary dimensions

  • J. Fritz1 

Probability Theory and Related Fields volume 81, pages 291–318 (1989)Cite this article

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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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Author information

Authors and Affiliations

  1. Mathematical Institute, HAS, H-1364, Pf. 127, Budapest, Hungary

    J. Fritz

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  1. J. Fritz
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Additional information

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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  • Received: 12 September 1987

  • Revised: 01 August 1988

  • Issue Date: June 1989

  • DOI: https://doi.org/10.1007/BF00319556

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Keywords

  • Stochastic Process
  • Probability Theory
  • Diffusion Process
  • Diffusion Equation
  • Mathematical Biology
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