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

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

2011-11-27

arxiv.org/abs/1111.6272v1

Physics

Condensed Matter

Statistical Mechanics

Submitted to Chaos, special issue "Statistical Mechanics and Billiard-Type Dynamical Systems"

Scientific paper

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.

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