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Problem of transport in billiards with infinite horizon.

作者信息

Courbage M, Edelman M, Fathi S M Saberi, Zaslavsky G M

机构信息

Université Paris 7-Denis Diderot, UMR 7057 Matiére et Systéme Complexes, Case 7056, Paris Cedex 13, France.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Mar;77(3 Pt 2):036203. doi: 10.1103/PhysRevE.77.036203. Epub 2008 Mar 7.

DOI:10.1103/PhysRevE.77.036203
PMID:18517481
Abstract

We consider particles transport in the Sinai billiard with infinite horizon. The simulation shows that the transport is superdiffusive in both continuous and discrete time. Also, it is shown that the moments do not converge to the Gaussian moments even in the logarithmically renormalized time scale, at least for a fairly long computational time. These results are discussed with respect to the existent rigorous theorems. Similar results are obtained for the stadium billiard.

摘要

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