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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@article{3273468ba83a48ac870ee95e0bcd2d04,

title = "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.",

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

year = "2005",

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doi = "10.1088/0305-4470/38/7/L01",

language = "English",

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journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

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AU - Bellucci, Stefano

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Y1 - 2005/2/18

N2 - 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.

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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DO - 10.1088/0305-4470/38/7/L01

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VL - 38

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

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