Nonlinear Fokker-Planck-Kolmogorov equation in the semiclassical coherent trajectory approximation

Research output: Contribution to journalArticle

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Abstract

A semiclassical asymptotic of the Cauchy problem is constructed for the two-dimensional Fokker-Planck equation with nonlocal nonlinearity in the class of trajectory concentrated functions based on the complex WKB-Maslov method. The system of Einstein-Ehrenfest equations describing the dynamics of average values of the coordinate operator and centered moments is derived. The results obtained are illustrated by a number of examples.

Original languageEnglish
Pages (from-to)592-604
Number of pages13
JournalRussian Physics Journal
Volume48
Issue number6
DOIs
Publication statusPublished - 1 Jun 2005

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Cauchy problem
Fokker-Planck equation
Einstein equations
nonlinearity
trajectories
moments
operators
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Nonlinear Fokker-Planck-Kolmogorov equation in the semiclassical coherent trajectory approximation. / Bezverbnyi, A. V.; Gogolev, A. S.; Rezaev, R. O.; Trifonov, A. Yu.

In: Russian Physics Journal, Vol. 48, No. 6, 01.06.2005, p. 592-604.

Research output: Contribution to journalArticle

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