A MODEL OF MODULATED DIFFUSION .1. ANALYTICAL RESULTS

Citation
A. Bazzani et al., A MODEL OF MODULATED DIFFUSION .1. ANALYTICAL RESULTS, Journal of statistical physics, 76(3-4), 1994, pp. 929-967
Citations number
38
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
76
Issue
3-4
Year of publication
1994
Pages
929 - 967
Database
ISI
SICI code
0022-4715(1994)76:3-4<929:AMOMD.>2.0.ZU;2-9
Abstract
We introduce an integrable isochronous system and perturb its frequenc y by an external-deterministic or purely random-noise. Under the pertu rbation the action variable evolves in time: the corresponding diffusi on coefficient is exactly computed and its dependence on the magnitude of the perturbation is carefully investigated. Different behaviors ar e found and justified: the quasilinear approximation, the superlinear regime, and the ballistic motion.