Boltzmann’s Legacy


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pp: 203–215

DOI: 10.4171/057-1/13

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

Andrei Gabrielov[1], Vladimir Keilis-Borok[2], Yakov G. Sinai[3] and Ilya Zaliapin[4]

(1) Purdue University, West Lafayette, USA
(2) University of California Los Angeles, United States
(3) Princeton University, United States
(4) University of Nevada, Reno, USA

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.

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