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On the continuous limit for a system of classical spins

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Abstract

The continuum limit of a cubic latice of classical spins processing in the magnetic field created by their closest neighbours is considered. Results concerning existence, uniqueness and (for initially small spin deviation) long time behaviour, are presented.

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Authors and Affiliations

  1. School of Mathematical Sciences, Tel Aviv University, Israel

    P. L. Sulem

  2. CNRS, Observatoire de Nice, France

    P. L. Sulem

  3. Department of Mathematics, Ben Gurion University of the Negev, Beersheva, Israel

    C. Sulem

  4. CNRS, Centre de Mathématiques Appliquées, Ecole Normale Supérieure, Paris, France

    C. Sulem

  5. Département de Mathématiques, Université de Paris XIII and Centre de Mathématiques Appliquées, Ecole Normale Supérieure, Paris, France

    C. Bardos

Authors
  1. P. L. Sulem
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  2. C. Sulem
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  3. C. Bardos
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Communicated by J. L. Lebowitz

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Sulem, P.L., Sulem, C. & Bardos, C. On the continuous limit for a system of classical spins. Commun.Math. Phys. 107, 431–454 (1986). https://doi.org/10.1007/BF01220998

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  • DOI: https://doi.org/10.1007/BF01220998

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