Slow relaxation in weakly open vertex-splitting rational polygons
Data Analysis, Statistics and Probability
2009-11-07 v1
Abstract
The problem of splitting effects by vertex angles is discussed for nonintegrable rational polygonal billiards. A statistical analysis of the decay dynamics in weakly open polygons is given through the orbit survival probability. Two distinct channels for the late-time relaxation of type 1/t^delta are established. The primary channel, associated with the universal relaxation of ''regular'' orbits, with delta = 1, is common for both the closed and open, chaotic and nonchaotic billiards. The secondary relaxation channel, with delta > 1, is originated from ''irregular'' orbits and is due to the rationality of vertices.
Cite
@article{arxiv.physics/0208063,
title = {Slow relaxation in weakly open vertex-splitting rational polygons},
author = {Valery B. Kokshenev and Eduardo Vicentini},
journal= {arXiv preprint arXiv:physics/0208063},
year = {2009}
}
Comments
Key words: Dynamics of systems of particles, control of chaos, channels of relaxation. 21 pages, 4 figures