Open AccessTIME-DEPENDENT SOLUTION OF THE FOKKER-PLANCK EQUATION OF NONLINEAR NONPOTENTIAL SYSTEMS
Author(s) -
Zhilin Qu,
Gang Hu
Publication year - 1992
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.41.1396
Subject(s) - fokker–planck equation , nonlinear system , physics , limit (mathematics) , scaling , relaxation (psychology) , dimension (graph theory) , statistical physics , mathematical analysis , mathematics , quantum mechanics , partial differential equation , psychology , social psychology , geometry , pure mathematics
The time-dependent problem of Fokker-Planck equation of the nonlinear systems without detailed balance is solved in the weak noise limit by using the Ω-expansion of the Green function. We further reveal the possibility of the dimension reduction and some scaling relations in the relaxation of the system from the unstable state to the stable state.