| dc.creator | Mestre, Martín Federico | |
| dc.creator | Bazzani, Armando | |
| dc.creator | Cincotta, Pablo Miguel | |
| dc.creator | Giordano, Claudia Marcela | |
| dc.date | 2014-01 | |
| dc.date | 2020-04-16T15:15:29Z | |
| dc.date.accessioned | 2023-07-14T19:20:09Z | |
| dc.date.available | 2023-07-14T19:20:09Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/93540 | |
| dc.identifier | http://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.012911 | |
| dc.identifier | issn:1539-3755 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7434903 | |
| dc.description | We model chaotic diffusion in a symplectic four-dimensional (4D) map by using the result of a theorem that was developed for stochastically perturbed integrable Hamiltonian systems. We explicitly consider a map defined by a free rotator (FR) coupled to a standard map (SM). We focus on the diffusion process in the action I of the FR, obtaining a seminumerical method to compute the diffusion coefficient. We study two cases corresponding to a thick and a thin chaotic layer in the SM phase space and we discuss a related conjecture stated in the past. In the first case, the numerically computed probability density function for the action I is well interpolated by the solution of a Fokker-Planck (FP) equation, whereas it presents a nonconstant time shift with respect to the concomitant FP solution in the second case suggesting the presence of an anomalous diffusion time scale. The explicit calculation of a diffusion coefficient for a 4D symplectic map can be useful to understand the slow diffusion observed in celestial mechanics and accelerator physics. | |
| dc.description | Instituto de Astrofísica de La Plata | |
| dc.format | application/pdf | |
| dc.format | 12911-12911 | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Ciencias Astronómicas | |
| dc.subject | Stochastic Analysis Methods | |
| dc.subject | Numerical Simulations of Chaotic Systems | |
| dc.subject | Classical Transport | |
| dc.title | Stochastic approach to diffusion inside the chaotic layer of a resonance | |
| dc.type | Articulo | |
| dc.type | Articulo | |
