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 language | English |
|---|---|
| Pages (from-to) | 592-604 |
| Number of pages | 13 |
| Journal | Russian Physics Journal |
| Volume | 48 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jun 2005 |
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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 journal › Article
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TY - JOUR
T1 - Nonlinear Fokker-Planck-Kolmogorov equation in the semiclassical coherent trajectory approximation
AU - Bezverbnyi, A. V.
AU - Gogolev, A. S.
AU - Rezaev, R. O.
AU - Trifonov, A. Yu
PY - 2005/6/1
Y1 - 2005/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=27844562375&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=27844562375&partnerID=8YFLogxK
U2 - 10.1007/s11182-005-0175-1
DO - 10.1007/s11182-005-0175-1
M3 - Article
VL - 48
SP - 592
EP - 604
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 6
ER -