Generalized Fokker-Planck equation for a nonlinear Brownian motion with fluctuations in the control parameter

Year: 1979

Authors: Arecchi F.T., Politi A.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy
Department of Physics, University of Firenze, 50125 Firenze, Italy

Abstract: The paper presents a generalized Fokker-Planck equation for the probability density P(x,t) of the internal parameter x, when the external control parameter y is affected by fluctuations. The treatment is generally valid for all transition phenomena (either pumped or at thermal equilibrium), whenever they are described by a mean field. As an example, the nonlinear diffusion equation for the optical bistability is derived using the general Fokker-Planck equation and heuristic arguments.

Journal/Review: OPTICS COMMUNICATIONS

Volume: 29 (3)      Pages from: 361  to: 363

KeyWords: Brownian movemenys; fluctuation theory; Fokker-Planck equation
DOI: 10.1016/0030-4018(79)90118-4

Citations: 12
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