Published February 18, 2005
| Version v1
Journal article
Semiclassically concentrated solutions for the one-dimensional Fokker-Planck equation with a nonlocal nonlinearity
Creators
- 1. INFN-Laboratori Nazionali di Frascati, CP 13, 00044 Frascati (Italy)
- 2. Laboratory of Mathematical Physics, Mathematical Physics Department, Tomsk Polytechnical University, Lenin ave 30, Tomsk, 634050 (Russian Federation)
Description
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. (letter to the editor)
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/L103/a5_7_l01.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/L103/a5_7_l01.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/7/L01;
- PII
- S0305-4470(05)89442-9;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 7
- Journal Page Range
- p. L103-L114
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36046527
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FOKKER-PLANCK EQUATION; FUNCTIONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; SEMICLASSICAL APPROXIMATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS