Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500347 | Physica D: Nonlinear Phenomena | 2016 | 7 Pages |
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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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Robert I.A. Patterson, Sergio Simonella, Wolfgang Wagner,