Fission Probability Calculation by Solving Fokker-PIank Equation with Variation Method

Zhong Yunxiao; Hu Jimin

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2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(Z1) : 79-86

Fission Probability Calculation by Solving Fokker-PIank Equation with Variation Method

Zhong Yunxiao ,
Hu Jimin

Department of Technical Physics, Peking University, Beijing, China

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Abstract：
A variation method is developed to solve the Fokker-Planck (F-P) equation. One-dimensional fission probability is calculated and compared with other methods. The relation of the F-P equation and the Smoluchowski equation is discussed in light of this method, which paves the way to derive the multi-dimensional Smoluchowski equation with varying mass and viscosity and to solve more complicated equations.
- variation method ,
- Fokker-PIank equation ,
- probability of fission

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[14]	Zhong Yunxiao , Hu Jimin . Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method. Chinese Physics C, 1994, 18(4): 340-346.
[15]	BAI Ge , YANG Wei , LI Jia-Rong . High Energy Unequal-nuclei Collisions and Relaxation Time in Fokker Plank Equation. Chinese Physics C, 1993, 17(1): 57-64.
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[18]	SUN Zhe-Min , WU Xi-Zhen , FENG Ren-Fa , ZHUO Yi-Zhong , XING Jing-Ru , ZHANG Shu-Fa . ON RELIABILITY OF THE LOCALLY HARMONIC APPROXIMATION METHOD FOR SOLVING THE FOKKERPLANCK EQUATION. Chinese Physics C, 1989, 13(9): 833-836.
[19]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[20]	Xue Shesheng . A Mean Field Solution of the Fokker-Planck Equation in Lattice Gauge Theories. Chinese Physics C, 1988, 12(S2): 117-122.

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Zhong Yunxiao and Hu Jimin. Fission Probability Calculation by Solving Fokker-PIank Equation with Variation Method[J]. Chinese Physics C, 1994, 18(Z1): 79-86.

Zhong Yunxiao and Hu Jimin. Fission Probability Calculation by Solving Fokker-PIank Equation with Variation Method[J]. Chinese Physics C, 1994, 18(Z1): 79-86. shu

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Received: 1992-11-30

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Fission Probability Calculation by Solving Fokker-PIank Equation with Variation Method

Zhong Yunxiao
Hu Jimin

Department of Technical Physics, Peking University, Beijing, China

Received Date: 1992-11-30

Abstract: A variation method is developed to solve the Fokker-Planck (F-P) equation. One-dimensional fission probability is calculated and compared with other methods. The relation of the F-P equation and the Smoluchowski equation is discussed in light of this method, which paves the way to derive the multi-dimensional Smoluchowski equation with varying mass and viscosity and to solve more complicated equations.