2008/01/17 by Giampaolo Cristadoro, Roland Ketzmerick · 2 citations
Physics and Astronomy · #nlin.CD
paper · pdf · doi:10.1103/physrevlett.100.184101
published as Phys. Rev. Lett. 100, 184101 (2008) · 4 pages, 3 figures
arxiv created 2008/01/17 · arxiv updated 2009/12/01
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.