Spectral properties and anomalous transport in a polygonal billiard.
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.
Artuso
Roberto
R
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.
Guarneri
Italo
I
Rebuzzini
Laura
L