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

Stefano Bellucci, Andrey Yu Trifonov

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number7
DOIs
Publication statusPublished - 18 Feb 2005

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Transition Density
Fokker-Planck equation
Fokker-Planck Equation
Mean Value
Albert Einstein
Momentum
nonlinearity
Nonlinearity
momentum
Class

ASJC Scopus subject areas

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

Cite this

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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.",
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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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