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arXiv · 0801.2756

On universality of algebraic decays in Hamiltonian systems

Giampaolo Cristadoro·Roland Ketzmerick
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Abstract

Hamiltonian systems with a mixed phase space typically exhibit an algebraic decay of correlations and of Poincare' recurrences, with numerical experiments over finite times showing system-dependent power-law exponents. We conjecture the existence of a universal asymptotic decay based on results for a Markov tree model with random scaling factors for the transition probabilities. Numerical simulations for different Hamiltonian systems support this conjecture and permit the determination of the universal exponent.

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Giampaolo Cristadoro, Roland Ketzmerick. 2008-01-17. On universality of algebraic decays in Hamiltonian systems. https://doi.org/10.1103/physrevlett.100.184101

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