A two-stage approach to relaxation in billiard systems of locally confined hard spheres
arXiv:1111.6272 · doi:10.1063/1.3697689
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.
Submitted to Chaos, special issue "Statistical Mechanics and Billiard-Type Dynamical Systems"
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