Communications in Mathematical Physics

, Volume 40, Issue 3, pp 249–258 | Cite as

Mean square relaxation times for evolution of random fields

  • Wayne G. Sullivan


We consider the problem of relaxation times for Markov evolution of systems composed of a countable number of locally interacting particles, each one of which has a finite phase space. We give a theorem for comparison of mean square relaxation times of evolutions possessing the same ergodic stationary state. We give a reduction theorem for “attractive” evolutions. The results are applied to a generalization of the Glauber evolution of the one dimensional Ising chain.


Neural Network Statistical Physic Relaxation Time Phase Space Complex System 
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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Wayne G. Sullivan
    • 1
  1. 1.Dublin Institute for Advanced StudiesDublinIreland

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