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Abstract
The two-box Schl?gl model is analysed. The Ω-expansion of the Green function is applied to such model, and then the time-dependent problem of Fokker-Planck equation of many variables with a multi-stable potential is solved cm the basis of the approximation of the leaoling order of the system size.
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HU GANG¹,

WANG SHENG-GUI²
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[3]	Yang Hui-Hui, Ning Li-Juan.Approximate time-dependent solution of Fokker-Planck equation with non-linear drift force. Acta Physica Sinica, 2013, 62(18): 180501.doi:10.7498/aps.62.180501
[4]	Wei Gao-Feng, Long Chao-Yun, Qin Shui-Jie, Zhang Xin.Analytical approximations to the arbitrary l-wave bound state solutions of the Klein-Gordon equation for the Manning-Rosen potential. Acta Physica Sinica, 2008, 57(11): 6730-6735.doi:10.7498/aps.57.6730
[5]	Bai Zhan-Wu, Meng Gao-Qing.The small parameter expansion solution to Fokker-Planck equation for Brownian motion in a periodic potential with internal time derivative Ornstein-Uhlenbeck noise. Acta Physica Sinica, 2008, 57(12): 7477-7481.doi:10.7498/aps.57.7477
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[7]	Chen Gang.Bound states for Dirac equation with Wood-Saxon potential. Acta Physica Sinica, 2004, 53(3): 680-683.doi:10.7498/aps.53.680
[8]	Chen Chang-Yuan, Liu Cheng-Lin, Lu Fa-Lin, Sun Dong-Sheng.Bound states of the Klein-Gordon equation with n-dimensional scalar and vect or hydrogen atom-type potentials. Acta Physica Sinica, 2003, 52(7): 1579-1584.doi:10.7498/aps.52.1579
[9]	Zhao Chao-Ying, Tan Wei-Han, Guo Qi-Zhi.The solution of the Fokker-Planck equation of non-degenerate parametric amplific ation system for generation of squeezed light. Acta Physica Sinica, 2003, 52(11): 2694-2699.doi:10.7498/aps.52.2694
[10]	CHEN GANG.BOUND STATES OF KLEIN-GORDON EQUATION AND DIRAC EQUATION FOR SCALAR AND VECTOR P?SCHL-TELLER-TYPE POTENTIALS. Acta Physica Sinica, 2001, 50(9): 1651-1653.doi:10.7498/aps.50.1651
[11]	HOU CHUN-FENG, LI YAN, ZHOU ZHONG-XIANG.BOUND STATES OF KLEIN-GORDON EQUATION AND DIRAC EQUATION WITH SCALAR AND VECTOR MORSE-TYPE POTENTIALS. Acta Physica Sinica, 1999, 48(11): 1999-2003.doi:10.7498/aps.48.1999
[12]	ZHU XUE-GUANG, KUANG GUANG-LI, ZHAO YAN-PING, LI YOU-YI, XIE JI-KANG.FOKKER-PLANCK EQUATION IN THE APPLICATION OF FAST WAVE HEATING. Acta Physica Sinica, 1998, 47(7): 1137-1142.doi:10.7498/aps.47.1137
[13]	LU ZHI-HENG, LIN JIAN-HENG, HU GANG.A NUMERICAL STUDY OF THE FOKKER-PLANCK EQUATION FOR STOCHASTIC RESONANCE PROBLEM. Acta Physica Sinica, 1993, 42(10): 1556-1566.doi:10.7498/aps.42.1556
[14]	QU ZHI-LIN, HU GANG.TIME-DEPENDENT SOLUTION OF THE FOKKER-PLANCK EQUATION OF NONLINEAR NONPOTENTIAL SYSTEMS. Acta Physica Sinica, 1992, 41(9): 1396-1405.doi:10.7498/aps.41.1396
[15]	HU SI-ZHU, SU RU-KENG.BOUND STATES OF THE DIRAC EQUATIONS WITH HULTHéN-TYPE POTENTIALS. Acta Physica Sinica, 1991, 40(8): 1201-1206.doi:10.7498/aps.40.1201
[16]	LIN REN-MING, HUANG SI-XIAN, ZHANG LIN.THE MULTI-PHOTON QUANTUM STATISTICAL THEORY OF DRIVEN OPTICAL SYSTEMS (Ⅰ)——FOKKER-PLANCK EQUATION AND GOOD CAVITY CASE. Acta Physica Sinica, 1988, 37(4): 573-581.doi:10.7498/aps.37.573
[17]	TAN WEI-HAN, LI YU-FANG, ZHANG WEI-PING.THE FORMAL SOLUTIONS FOR FOKKER-PLANCK EQUATION WITH ZERO OR NEGATIVE DIFFUSION COEFFICIENTS AND THEIR APPLICATIONS TO QUANTUM OPTICS. Acta Physica Sinica, 1988, 37(3): 396-407.doi:10.7498/aps.37.396
[18]	ZHENG WEI-MOU.EXACTLY SOLVABLE MODELS FOR THE FOKKER-PLANCK EQUATION. Acta Physica Sinica, 1986, 35(2): 247-253.doi:10.7498/aps.35.247
[19]	HU GANG.TIME DEPENDENT SOLUTION OF FOKKER-PLANCK EQUATION WITH NON-LINEAR DRIFT FORCE. Acta Physica Sinica, 1985, 34(5): 573-580.doi:10.7498/aps.34.573
[20]	CHEN ZHENG-XIONG, HUO YU-PING.MULTIVARIATE MASTER EQUATION AND IT'S WAVE SOLUTIONS. Acta Physica Sinica, 1983, 32(3): 285-293.doi:10.7498/aps.32.285

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Vol. 35, Issue 6 - 1986-03-20

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