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
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.