ANALYTICAL PROOF OF THE RANDOM-PHASE-APPROXIMATION FOR A MODEL OF MODULATED DIFFUSION

Authors
Citation
S. Siboni, ANALYTICAL PROOF OF THE RANDOM-PHASE-APPROXIMATION FOR A MODEL OF MODULATED DIFFUSION, Journal of physics. A, mathematical and general, 27(24), 1994, pp. 8171-8183
Citations number
29
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
27
Issue
24
Year of publication
1994
Pages
8171 - 8183
Database
ISI
SICI code
0305-4470(1994)27:24<8171:APOTRF>2.0.ZU;2-I
Abstract
The random-phase approximation is rigorously proved for a particular m odel of modulated diffusion consisting in a 1D integrable Hamiltonian map whose phase is modulated by an external Markov noise. Continuity o f the diffusion coefficient in the limit of vanishing noise amplitude is also investigated.