Universality of algebraic decays in Hamiltonian systems

Hamiltonian systems with a mixed phase space typically exhibit an algebraic decay of correlations and of Poincaré 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...

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Bibliographic Details
Published in:Physical review letters 2008-05, Vol.100 (18), p.184101-184101, Article 184101
Main Authors: Cristadoro, G, Ketzmerick, R
Format: Article
Language:English
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Summary:Hamiltonian systems with a mixed phase space typically exhibit an algebraic decay of correlations and of Poincaré 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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.100.184101