Heat conductivity from molecular chaos hypothesis in locally confined billiard systems

Details Heat conductivity from molecular chaos hypothesis in locally confined billiard systems Heat conductivity from molecular chaos hypothesis in locally confined billiard systems

2008-08-08

arxiv.org/abs/0808.1179v2

Phys. Rev. Lett. 101 200601 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 color figures

Scientific paper

10.1103/PhysRevLett.101.200601

We study the transport properties of a large class of locally confined Hamiltonian systems, in which neighboring particles interact through hard core elastic collisions. When these collisions become rare and the systems large, we derive a Boltzmann-like equation for the evolution of the probability densities. We solve this equation in the linear regime and compute the heat conductivity from a Green-Kubo formula. The validity of our approach is demonstated by comparing our predictions to the results of numerical simulations performed on a new class of high-dimensional defocusing chaotic billiards.

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