Leading Pollicott-Ruelle Resonances and Transport in Area-Preserving Maps
| dc.creator | Venegeroles, Roberto | |
| dc.date | 2006-08-30 | |
| dc.date | 2007-08-07 | |
| dc.date.accessioned | 2026-07-07T08:22:29Z | |
| dc.date.available | 2026-07-07T08:22:29Z | |
| dc.description | The leading Pollicott-Ruelle resonance is calculated analytically for a general class of two-dimensional area-preserving maps. Its wave number dependence determines the normal transport coefficients. In particular, a general exact formula for the diffusion coefficient D is derived without any high stochasticity approximation and a new effect emerges: The angular evolution can induce fast or slow modes of diffusion even in the high stochasticity regime. The behavior of D is examined for three particular cases: (i) the standard map, (ii) a sawtooth map, and (iii) a Harper map as an example of a map with nonlinear rotation number. Numerical simulations support this formula. | |
| dc.description | 5 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/nlin/0608067 | |
| dc.identifier | http://arxiv.org/abs/nlin/0608067 | |
| dc.identifier | Phys. Rev. Lett. 99, 014101 (2007) | |
| dc.identifier | doi:10.1103/PhysRevLett.99.014101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135666 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Leading Pollicott-Ruelle Resonances and Transport in Area-Preserving Maps | |
| dc.type | text |