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

Anno: 1979

Autori: Arecchi F.T., Politi A.

Affiliazione autori: 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.

Giornale/Rivista: OPTICS COMMUNICATIONS

Volume: 29 (3)      Da Pagina: 361  A: 363

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

Citazioni: 12
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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