A two-stage approach to relaxation in billiard systems of locally confined hard spheres.

Abstract

We consider the three-dimensional dynamics of systems of many interacting hard spheres, each individually confined to a dispersive environment, and show that the macroscopic limit of such systems is characterized by a coefficient of heat conduction whose value reduces to a dimensional formula in the limit of vanishingly small rate of interaction. It is argued that this limit arises from an effective loss of memory. Similarities with the diffusion of a tagged particle in binary mixtures are emphasized.

DOI: 10.1063/1.3697689

Cite this paper

@article{Gaspard2012ATA, title={A two-stage approach to relaxation in billiard systems of locally confined hard spheres.}, author={Pierre Gaspard and Thomas Gilbert}, journal={Chaos}, year={2012}, volume={22 2}, pages={026117} }