Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method

Zhong Yunxiao; Hu Jimin

Chinese Physics C> 1994, Vol. 18> Issue(4) : 340-346

Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method

Zhong Yunxiao ^, ,
Hu Jimin

Dept. of Technical Physics, Peking University, Benijing 100871

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

References

[1]

P.Cranye,L.Jun qing and H.A.Weidenmuller,Phys.Rev.C,27（1983）2063.[2]冯仁发等，高能物理与核物理，8（1984）453.[3]冯仁发、吴锡真、卓益忠，原子核物理，10（1988）16.[4]钟云霄，高能物理与核物理，13（1989）451.[5]Zhong Yunxiao and Hu Jimin,50 Years with Nuclear Fission,Vol.Ⅱ（1989）668,American Nuclear Society,Inc.[6]钟云霄，高能物理与核物理，9（1985）108.[7]钟云霄、陈俊珍，高能物理与核物理，9（1985）356.[8]钟云霄、张敏钊，原子核物理，7（1985）258.[9]S.Ckandraseckhar,Rev.Mod.Phys.,15（1943）1.[10]钟云霄，热力学与统计物理，科学出版社，（1988）296.[11]A.M.Arthurs,Complementary Variational Principles 2nd ch,（1980）Clarendon Press: Oxford.

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[20]	HE ZE-JUN , LEE PAN-LIN . THE MICROSCOPIC CALCULATION OF THE STATISTICAL THEORY OF NUCLEAR FISSION. Chinese Physics C, 1978, 2(4): 350-349.

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Zhong Yunxiao and Hu Jimin. Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method[J]. Chinese Physics C, 1994, 18(4): 340-346.

Zhong Yunxiao and Hu Jimin. Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method[J]. Chinese Physics C, 1994, 18(4): 340-346. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method

Zhong Yunxiao ^,
Hu Jimin

Corresponding author: Zhong Yunxiao,

Dept. of Technical Physics, Peking University, Benijing 100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-04-05

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