Problem of transport in billiards with infinite horizon.
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.
Université Paris 7-Denis Diderot, UMR 7057 Matiére et Systéme Complexes, Case 7056, Paris Cedex 13, France.
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Courbage
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Edelman
S M Saberi
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Fathi
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Zaslavsky