On universality of algebraic decays in Hamiltonian systems

Details On universality of algebraic decays in Hamiltonian systems On universality of algebraic decays in Hamiltonian systems

2008-01-17

arxiv.org/abs/0801.2756v1

Phys. Rev. Lett. 100, 184101 (2008)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.100.184101

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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