Kinetic Theory of Cluster Dynamics
Mathematical Physics
2016-11-28 v2 Statistical Mechanics
math.MP
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.
Cite
@article{arxiv.1601.05838,
title = {Kinetic Theory of Cluster Dynamics},
author = {Robert I. A. Patterson and Sergio Simonella and Wolfgang Wagner},
journal= {arXiv preprint arXiv:1601.05838},
year = {2016}
}