%0 Journal Article
%T On the validity of the Boltzmann equation for short range potentials
%A Mario Pulvirenti
%A Chiara Saffirio
%A Sergio Simonella
%J Physics
%D 2013
%I arXiv
%R 10.1142/S0129055X14500019
%X We consider a classical system of point particles interacting by means of a short range potential. We prove that, in the low--density (Boltzmann--Grad) limit, the system behaves, for short times, as predicted by the associated Boltzmann equation. This is a revisitation and an extension of the thesis of King (unpublished), appeared after the well known result of Lanford for hard spheres, and of a recent paper by Gallagher et al (arXiv: 1208.5753v1). Our analysis applies to any stable and smooth potential. In the case of repulsive potentials (with no attractive parts), we estimate explicitly the rate of convergence.
%U http://arxiv.org/abs/1301.2514v2