Slow relaxation in weakly open vertex-splitting rational polygons

Details Slow relaxation in weakly open vertex-splitting rational polygons Slow relaxation in weakly open vertex-splitting rational polygons

2002-08-15

arxiv.org/abs/physics/0208063v1

Physics

Data Analysis, Statistics and Probability

Key words: Dynamics of systems of particles, control of chaos, channels of relaxation. 21 pages, 4 figures

Scientific paper

10.1103/PhysRevE.68.016221

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.

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