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Spectral properties and anomalous transport in a polygonal billiard.

作者信息

Artuso Roberto, Guarneri Italo, Rebuzzini Laura

机构信息

Dipartimento di Scienze Chimiche, Fisiche e Matematiche, Universita dell'Insubria-Polo di Como, Via Lucini 3, I-22100 Como, ItalyIstituto Nazionale di Fisica della Materia, Unita di Milano and I.N.F.N.

出版信息

Chaos. 2000 Mar;10(1):189-194. doi: 10.1063/1.166493.

DOI:10.1063/1.166493
PMID:12779374
Abstract

We analyze a class of polygonal billiards, whose behavior is conjectured to exhibit a variety of interesting dynamical features. Correlation functions are numerically investigated, and in a subclass of billiard tables they give indications about a singular continuous spectral measure. By lifting billiard dynamics we are also able to study transport properties: the (normal or anomalous) diffusive behavior is theoretically connected to a scaling index of the spectral measure; the proposed identity is shown to agree with numerical simulations. (c) 2000 American Institute of Physics.

摘要

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