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Slow relaxation in weakly open vertex-splitting rational polygons

Valery B. Kokshenev·Eduardo Vicentini
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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.

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Valery B. Kokshenev, Eduardo Vicentini. 2002-08-15. Slow relaxation in weakly open vertex-splitting rational polygons. https://doi.org/10.1103/physreve.68.016221

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