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

Fingerprint Dive into the research topics of 'Semiclassically concentrated solutions for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity'. Together they form a unique fingerprint.

Cite this

@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",

month = feb,

day = "18",

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

language = "English",

volume = "38",

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

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "7",

}

TY - JOUR

T1 - Semiclassically concentrated solutions for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity

AU - Bellucci, Stefano

AU - Trifonov, Andrey Yu

PY - 2005/2/18

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.

UR - http://www.scopus.com/inward/record.url?scp=14544269377&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=14544269377&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/38/7/L01

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

M3 - Article

AN - SCOPUS:14544269377

VL - 38

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 7

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this