Communications in Mathematical Physics

, Volume 107, Issue 3, pp 431–454 | Cite as

On the continuous limit for a system of classical spins

  • P. L. Sulem
  • C. Sulem
  • C. Bardos


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.


Magnetic Field Neural Network Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • P. L. Sulem
    • 1
    • 2
  • C. Sulem
    • 3
    • 4
  • C. Bardos
    • 5
  1. 1.School of Mathematical SciencesTel Aviv UniversityIsrael
  2. 2.CNRS, Observatoire de NiceFrance
  3. 3.Department of MathematicsBen Gurion University of the NegevBeershevaIsrael
  4. 4.CNRS, Centre de Mathématiques Appliquées, Ecole Normale SupérieureParisFrance
  5. 5.Département de MathématiquesUniversité de Paris XIII and Centre de Mathématiques Appliquées, Ecole Normale SupérieureParisFrance

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