Kinetic theory of cluster dynamics

PHYSICA D-NONLINEAR PHENOMENA

卷:335

Article

Patterson, Robert I. A.¹  Simonella, Sergio²  Wagner, Wolfgang¹ 

[1] Weierstrass Inst, Mohrenstr 39, D-10117 Berlin, Germany

[2] Tech Univ Munich, Zentrum Math, Boltzmannstr 3, D-85748 Garching, Germany

关键词: Low-density gas;    Boltzmann equation;    Cluster dynamics;    Maxwell molecules;   

DOI  :  10.1016/j.physd.2016.06.007

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free