On universality of algebraic decays in Hamiltonian systems
| dc.creator | Cristadoro, Giampaolo | |
| dc.creator | Ketzmerick, Roland | |
| dc.date | 2008-01-17 | |
| dc.date.accessioned | 2026-07-07T10:07:18Z | |
| dc.date.available | 2026-07-07T10:07:18Z | |
| dc.description | 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. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0801.2756 | |
| dc.identifier | http://arxiv.org/abs/0801.2756 | |
| dc.identifier | Phys. Rev. Lett. 100, 184101 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.100.184101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170587 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | On universality of algebraic decays in Hamiltonian systems | |
| dc.type | text |