Statistical properties of the cluster dynamics of the systems of statistical mechanics

  • Andrei Gabrielov

    Purdue University, West Lafayette, USA
  • Vladimir Keilis-Borok

    University of California Los Angeles, United States
  • Yakov G. Sinai

    Princeton University, United States
  • Ilya Zaliapin

    University of Nevada, Reno, USA
Statistical properties of the cluster dynamics of the systems of statistical mechanics cover
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Abstract

Cluster dynamics is the property of dynamics of systems of statistical mechanics when for given time the whole array of particles is decomposed onto finite clusters which move independently during a random interval of time. In this paper we study statistical properties and critical indices related to cluster dynamics.