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

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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
Issue number6
Publication statusPublished - 1 Jun 2005


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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