INTEGRAL SOLUTION FOR THE SPHERICALLY SYMMETRICAL FOKKER-PLANCK EQUATION

Authors
Citation
Jm. Donoso et M. Soler, INTEGRAL SOLUTION FOR THE SPHERICALLY SYMMETRICAL FOKKER-PLANCK EQUATION, Europhysics letters, 23(6), 1993, pp. 409-414
Citations number
9
Categorie Soggetti
Physics
Journal title
ISSN journal
02955075
Volume
23
Issue
6
Year of publication
1993
Pages
409 - 414
Database
ISI
SICI code
0295-5075(1993)23:6<409:ISFTSS>2.0.ZU;2-B
Abstract
We propose an integral method to deal with the spherically symmetric n on-linear Fokker-Planck equation appearing in plasma physics. A probab ility transition expression is obtained, which takes into account the proper domain for the radial velocity component. The analytical and co mputational results are new, and the time evolution is completely sati sfactory. The main achievement of the method is conservation of both t he initial norm and energy for unlimited times, which has not been att ained in the differential approach to the problem.