TIME DEPENDENT SOLUTION OF FOKKER-PLANCK EQUATION WITH NON-LINEAR DRIFT FORCE

HU GANG

doi:10.7498/aps.34.573

Abstract
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.
Authors and contacts
HU GANG

1.
北京师范大学物理系
References

Cited By

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[2]	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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[8]	Yan Gui-Shen, Li He-Jun, Hao Zhi-Biao. . Acta Physica Sinica, 2002, 51(2): 326-331. doi: 10.7498/aps.51.326
[9]	YAN KE-ZHU, TAN WEI-HAN. STATIONARY SOLUTIONS OF THE NONLINEAR SCHR?DINGER EQUATION FOR NEUTRAL ATOMS IN A HARMONIC TRAP. Acta Physica Sinica, 1999, 48(7): 1185-1191. doi: 10.7498/aps.48.1185
[10]	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
[11]	FAN EN-GUI, ZHANG HONG-QING. THE SOLITARY WAVE SOLUTIONS FOR A CLASS OF NONLINEAR WAVE EQUATIONS. Acta Physica Sinica, 1997, 46(7): 1254-1258. doi: 10.7498/aps.46.1254
[12]	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
[13]	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
[14]	HE KAI-FEN, HU GANG. A PERTURBATION METHOD FOR THE NONLINEAR DRIFT WAVES DRIVEN BY A SINUSOIDAL WAVE. Acta Physica Sinica, 1991, 40(12): 1948-1954. doi: 10.7498/aps.40.1948
[15]	TANG SHI-MIN. PROGRESSIVE WAVES AS SOLUTIONS TO VARIOUS NO NLINEAR WAVE EQUATIONS. Acta Physica Sinica, 1991, 40(11): 1818-1826. doi: 10.7498/aps.40.1818
[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, WANG SHENG-GUI. TIME-DEPENDENT PROBLEM OF FOKKER-PLANCK EQUATION OF MANY VARIABLES WITH A MULTI-STABLE POTENTIAL. Acta Physica Sinica, 1986, 35(6): 771-778. doi: 10.7498/aps.35.771
[20]	CHEN SHI-GANG. TRANSPORT PROCESS UNDER STRONG MAGNETIC FIELD AND TWO STATIONARY SOLUTIONS OF THE LIOUVILLE EQUATION. Acta Physica Sinica, 1980, 29(10): 1323-1332. doi: 10.7498/aps.29.1323

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Vol. 34, Issue 5 - 1985-03-05

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TIME DEPENDENT SOLUTION OF FOKKER-PLANCK EQUATION WITH NON-LINEAR DRIFT FORCE

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