Foundations of Physics

, Volume 4, Issue 4, pp 465–472 | Cite as

A non-Hamiltonian formulation of the Ising chain

  • J. -P. Marchand
  • P. A. Martin
Article
  • 39 Downloads

Abstract

The Gibbs states of binary lattice systems can be characterized by their stability with respect to certain microscopic transitions which have a simple physical interpretation. A detailed analysis is provided for the case of a one-dimensional lattice gas with nearest-neighbor interactions.

Keywords

Detailed Analysis Physical Interpretation Lattice System Gibbs State Ising Chain 

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References

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    R. J. Glauber,J. Math. Phys. 4, 294 (1963).Google Scholar
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    B. U. Felderhof,J. Stat. Phys. 6, 21 (1972).Google Scholar
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    W. Feller,An Introduction to Probability Theory, Vol. I, Chapter XV (Wiley, New York, 1957).Google Scholar
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    T. L. Hill,Statistical Mechanics (McGraw-Hill, New York, 1956).Google Scholar

Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • J. -P. Marchand
    • 1
  • P. A. Martin
    • 1
  1. 1.Departments of Mathematics and PhysicsUniversity of DenverDenver

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