Universality of algebraic laws in Hamiltonian systems
| dc.creator | Venegeroles, Roberto | |
| dc.date | 2008-12-11 | |
| dc.date | 2009-02-10 | |
| dc.date.accessioned | 2026-07-07T12:39:15Z | |
| dc.date.available | 2026-07-07T12:39:15Z | |
| dc.description | Hamiltonian mixed systems with unbounded phase space are typically characterized by two asymptotic algebraic laws: decay of recurrence time statistics ($γ$) and superdiffusion ($β$). We conjecture the universal exponents $γ=β=3/2$ for trapping of trajectories to regular islands based on our analytical results for a wide class of area-preserving maps. For Hamiltonian mixed systems with bounded phase space the interval $3/2\leqγ_{b}\leq3$ was obtained, given that trapping takes place. A number of simulations and experiments by other authors give additional support to our claims. | |
| dc.description | 4 pages, revised version | |
| dc.identifier | https://arxiv.org/abs/0812.2271 | |
| dc.identifier | http://arxiv.org/abs/0812.2271 | |
| dc.identifier | Phys. Rev. Lett. 102, 064101 (2009) | |
| dc.identifier | doi:10.1103/PhysRevLett.102.064101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219044 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Universality of algebraic laws in Hamiltonian systems | |
| dc.type | text |