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arXiv · 1706.02519

Universal Exponent for Transport in Mixed Hamiltonian Dynamics

Or Alus·Shmuel Fishman·James D. Meiss
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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 $\gamma = 1.57$. This exponent agrees with that found from simulations of the H\'enon and Chirikov-Taylor maps. This provides evidence that the Meiss-Ott Markov tree model describes the transport for mixed systems.

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Or Alus, Shmuel Fishman, James D. Meiss. 2017-06-08. Universal Exponent for Transport in Mixed Hamiltonian Dynamics. https://doi.org/10.1103/physreve.96.032204

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