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Nonlinear Fokker-Planck-Kolmogorov Equation in the Semiclassical Coherent Trajectory Approximation

  • Elementary Particle Physics and Field Theory
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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.

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Authors and Affiliations

  1. Tomsk Polytechnic University, Tomsk, Russia

    A. V. Bezverbnyi, A. S. Gogolev, R. O. Rezaev & A. Yu. Trifonov

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  1. A. V. Bezverbnyi
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  2. A. S. Gogolev
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  3. R. O. Rezaev
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  4. A. Yu. Trifonov
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__________

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 38–47, June, 2005.

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Bezverbnyi, A.V., Gogolev, A.S., Rezaev, R.O. et al. Nonlinear Fokker-Planck-Kolmogorov Equation in the Semiclassical Coherent Trajectory Approximation. Russ Phys J 48, 592–604 (2005). https://doi.org/10.1007/s11182-005-0175-1

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  • DOI: https://doi.org/10.1007/s11182-005-0175-1

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