Statistical properties of the cluster dynamics of the systems of statistical mechanics
Andrei GabrielovPurdue University, West Lafayette, USA
Vladimir Keilis-BorokUniversity of California Los Angeles, United States
Yakov G. SinaiPrinceton University, United States
Ilya ZaliapinUniversity of Nevada, Reno, USA
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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.