EXTENSIVE NUMERICAL STUDY OF SPECTRAL STATISTICS FOR RATIONAL AND IRRATIONAL POLYGONAL BILLIARDS

Authors
SHUDO A SHIMIZU Y
Citation
A. Shudo et Y. Shimizu, EXTENSIVE NUMERICAL STUDY OF SPECTRAL STATISTICS FOR RATIONAL AND IRRATIONAL POLYGONAL BILLIARDS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(1), 1993, pp. 54-62
Citations number
45
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
47
Issue
1
Year of publication
1993
Pages
54 - 62
Database
ISI
SICI code
1063-651X(1993)47:1<54:ENSOSS>2.0.ZU;2-F
Abstract
An extensive numerical study of level-spacing properties of rational a nd irrational polygonal billiard systems is carried out. It is found t hat level statistics of both rational and irrational polygonal billiar ds deviate from a Gaussian-orthogonal-ensemble-type fluctuation. It is also explored in detail whether the polygonal billiards with the infi nite genus number provide different level-spacing characteristics from those with the finite genus number. Some delicate problems in dealing with several types of pseudointegrable systems are also discussed.