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arXiv · 1601.05838

Kinetic Theory of Cluster Dynamics

Robert I. A. Patterson·Sergio Simonella·Wolfgang Wagner
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Abstract

In a Newtonian system with localized interactions the whole set of particles is naturally decomposed into dynamical clusters, defined as finite groups of particles having an influence on each other's trajectory during a given interval of time. For an ideal gas with short-range intermolecular force, we provide a description of the cluster size distribution in terms of the reduced Boltzmann density. In the simplified context of Maxwell molecules, we show that a macroscopic fraction of the gas forms a giant component in finite kinetic time. The critical index of this phase transition is in agreement with previous numerical results on the elastic billiard.

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Robert I. A. Patterson, Sergio Simonella, Wolfgang Wagner. 2016-01-21. Kinetic Theory of Cluster Dynamics. https://doi.org/10.1016/j.physd.2016.06.007

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