Université Paris 6
Pierre et Marie Curie
Université Paris 7
Denis Diderot

CNRS U.M.R. 7599
``Probabilités et Modèles Aléatoires''

Clustering statistics for sticky particles with Brownian initial velocity


Code(s) de Classification MSC:

Résumé: We establish a connection between two different models of clustering: the deterministic model of sticky particles which describes the evolution of a system of infinitesimal particles governed by the dynamic of completely inelastic shocks (i.e. clustering occurs upon collision with conservation of masses and momenta), and the random model of the so-called additive coalescent in which velocities and distances between clusters are not taken into account. The connection is obtained when at the initial time, the particles are uniformly distributed on a line and their velocities are given by a Brownian motion.

Mots Clés: Sticky particles ; Brownian velocity ; Burgers equation ; coalescent ; fragmentation

Date: 1999-06-29

Prépublication numéro: PMA-514