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 language | English |
|---|---|
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 38 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 18 Feb 2005 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
Cite this
Semiclassically concentrated solutions for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity. / Bellucci, Stefano; Trifonov, Andrey Yu.
In: Journal of Physics A: Mathematical and General, Vol. 38, No. 7, 18.02.2005.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Semiclassically concentrated solutions for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity
AU - Bellucci, Stefano
AU - Trifonov, Andrey Yu
PY - 2005/2/18
Y1 - 2005/2/18
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=14544269377&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=14544269377&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/38/7/L01
DO - 10.1088/0305-4470/38/7/L01
M3 - Article
AN - SCOPUS:14544269377
VL - 38
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 7
ER -