Open AccessTIME DEPENDENT SOLUTION OF FOKKER-PLANCK EQUATION WITH NON-LINEAR DRIFT FORCE
Author(s) -
Gang Hu
Publication year - 1985
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.34.573
Subject(s) - fokker–planck equation , scaling , physics , statistical physics , function (biology) , classical mechanics , quantum mechanics , partial differential equation , mathematics , geometry , evolutionary biology , biology
A new approach of the O-expansion of the Green's function is empoyed to study the time dependent problem of the Fokker-Planck equation. The scaling region and the final region in the scaling theory is unified to a single region. As t→∞ the time dependent solution approaches the stationary solution of the Fokker-Planck equation. The difficulty of matching the last two time regions in the scaling theory is then avoided.