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Scaling limits of interacting diffusions with arbitrary initial distributions
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  • Published: March 1994

Scaling limits of interacting diffusions with arbitrary initial distributions

  • Kôhei Uchiyama1 

Probability Theory and Related Fields volume 99, pages 97–110 (1994)Cite this article

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Summary

It is remarked that for Brownian particles interacting with a smooth repulsive pair potential the nonlinear diffusion equation which S. Varadhan has derived under an entropy bound for initial densities is valied whatever initial distribution they start with.

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References

  1. Lu, S.: Hydrodynamic scaling limits starting with deterministic initial configurations (Preprint)

  2. Olla, Varadhan, S.R.S.: Scaling limit for interacting Ornstein-Uhlenbeck processes. Commun. Math. Phys.135, 355–378 (1991)

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  3. Suzuki, Y., Uchiyama, K.: Hydrodynamic limit for a spin system on a multidimensional lattice. Probab. Theory Relat. Fields95, 47–74 (1993)

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  4. Varadhan, S.R.S.: Scaling limits for interacting diffusions. Commun. Math. Phys.135, 313–353 (1991)

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Author information

Authors and Affiliations

  1. Department of Applied Physics, Tokyo Institute of Technology, Oh-Okayama, Meguro, 152, Tokyo, Japan

    Kôhei Uchiyama

Authors
  1. Kôhei Uchiyama
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Additional information

Research partially supported by Japan Society for the Promotion of Science

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Uchiyama, K. Scaling limits of interacting diffusions with arbitrary initial distributions. Probab. Th. Rel. Fields 99, 97–110 (1994). https://doi.org/10.1007/BF01199591

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  • Received: 12 December 1992

  • Revised: 27 October 1993

  • Issue Date: March 1994

  • DOI: https://doi.org/10.1007/BF01199591

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Mathematics Subject Classification (1991)

  • 60K35
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