Document Type

Article

Publication Date

7-6-2017

Publication Title

Physical Review E

ISSN

1539-3755

Volume

96

Issue

3

First Page

032204-1

Last Page

032204-7

DOI

https://doi.org/10.1103/PhysRevE.96.032204

Abstract

We compute universal distributions for the transition probabilities of a Markov model for transport in the mixed phase space of area-preserving maps and verify that the survival probability distribution for trajectories near an infinite island-around-island hierarchy exhibits, on average, a power-law decay with exponent γ=1.57. This exponent agrees with that found from simulations of the Hénon and Chirikov-Taylor maps. This provides evidence that the Meiss-Ott Markov tree model describes the transport for mixed systems.

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