Semiclassically concentrated solutions for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity

Abstract

Based on Maslov's complex germ method, a semiclassical asymptotic in a class of semiclassically concentrated functions is constructed for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity. The Einstein-Ehrenfest system describing the dynamics of mean values of coordinates and centred momenta is formulated. A nonlinear transition density is constructed.

Original language	English
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	7
DOIs	https://doi.org/10.1088/0305-4470/38/7/L01
Publication status	Published - 18 Feb 2005

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

Access to Document

10.1088/0305-4470/38/7/L01

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Bellucci, S., & Trifonov, A. Y. (2005). Semiclassically concentrated solutions for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity. Journal of Physics A: Mathematical and General, 38(7). https://doi.org/10.1088/0305-4470/38/7/L01

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abstract = "Based on Maslov's complex germ method, a semiclassical asymptotic in a class of semiclassically concentrated functions is constructed for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity. The Einstein-Ehrenfest system describing the dynamics of mean values of coordinates and centred momenta is formulated. A nonlinear transition density is constructed.",

author = "Stefano Bellucci and Trifonov, {Andrey Yu}",

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AB - Based on Maslov's complex germ method, a semiclassical asymptotic in a class of semiclassically concentrated functions is constructed for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity. The Einstein-Ehrenfest system describing the dynamics of mean values of coordinates and centred momenta is formulated. A nonlinear transition density is constructed.

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