NUMERICAL STUDY ON ERGODIC PROPERTIES OF TRIANGULAR BILLIARDS

Authors
ARTUSO R CASATI G GUARNERI I
Citation
R. Artuso et al., NUMERICAL STUDY ON ERGODIC PROPERTIES OF TRIANGULAR BILLIARDS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(6), 1997, pp. 6384-6390
Citations number
21
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
6
Year of publication
1997
Part
A
Pages
6384 - 6390
Database
ISI
SICI code
1063-651X(1997)55:6<6384:NSOEPO>2.0.ZU;2-X
Abstract
We consider the motion of a point particle in right triangular billiar ds. By considering the global dynamics (when acute angles are not rati onally connected to pi), or the discrete reduced dynamics (when acute angles an rational multiples of pi), we find numerical evidence for th e conjecture that the motion is ergodic and weakly mixing. These dynam ical features are intimately related to nontrivial scaling properties of the spectrum of the evolution operator.