Communications in Mathematical Physics

, Volume 33, Issue 1, pp 53–60 | Cite as

The classical limit ofn-vector spin models

  • Colin J. Thompson
  • Howard Silver
Article

Abstract

It is proved that the free energy of a system ofn-dimensional spins with Kac type potential is equal, in the infinite range zero strength limit, to the free energy of the corresponding Curie-Weiss system in which every spin interacts equally with every other spin.

Keywords

Neural Network Free Energy Statistical Physic Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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    Grenander, U., Szegö, G.: Toeplitz forms and their applications. Berkeley, California: University of California Press 1958.Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Colin J. Thompson
    • 1
  • Howard Silver
    • 2
  1. 1.Mathematics DepartmentUniversity of MelbourneVictoriaAustralia
  2. 2.Physics DepartmentUniversity of MelbourneVictoriaAustralia

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