On Theoretical Analysis of Kramers' Stationary Solution in the Diffusion Model of Fission

Feng Renfa; Wu Xizhen; Zhuo Yizhong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(4) : 361-365

On Theoretical Analysis of Kramers' Stationary Solution in the Diffusion Model of Fission

Institute of Atomic Energy, Beijing 102413

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Abstract：
According to the non-equilibrium diffusion model of nuclear fission, the fission process can be described by the Fokker-Planck equation (F-P eq.). Through comparison of the exact solution of F-P eq. numerically with the Kramers' stationary results, the success and drawback of Kramers' stationary solution have been pointedout.

References

[1]

N.Bohr and J.A.Wheeler,Phys.Rev.,56（1939）426.[2]H.A.Kramers,Physica,7（1940）284.[3]吴锡真、卓益忠，第三次核物理会议文集，（1978）,P105;高能物理与核物理，4（1980）113.[4]胡济民等，高能物理与核物理，4（1980）368.[5]P.Grange et al,Z.Physik,A296（1980）107.[6]冯仁发等，高能物理与核物理，8（1984）453.[7]Wu Xizhen et al,Commun.in Theor.Phys.,1（1982）769.[8]冯仁发等，原子核物理，10（1988）16.[9]冯仁发等，原子核物理，10（1988）120.[10]Xizhen Wu,et al,J.Phys.G.Nucl,Phys,14（1988）1049.[11]孙民等，原子核物理，10（1988）307.[12]Wu Xizhen,et al.,Chinese Phys.Lett.,5（1988）41.[13]Yizkong Zhuo,et al,Nuclear Data for Science and Technology（1988MITO）,667.[14]P.Grange,et al,Phys.Rev.,C34（1986）209.

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Feng Renfa, Wu Xizhen and Zhuo Yizhong. On Theoretical Analysis of Kramers' Stationary Solution in the Diffusion Model of Fission[J]. Chinese Physics C, 1994, 18(4): 361-365.

Feng Renfa, Wu Xizhen and Zhuo Yizhong. On Theoretical Analysis of Kramers' Stationary Solution in the Diffusion Model of Fission[J]. Chinese Physics C, 1994, 18(4): 361-365. 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

On Theoretical Analysis of Kramers' Stationary Solution in the Diffusion Model of Fission

Corresponding author: Feng Renfa,

Institute of Atomic Energy, Beijing 102413

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

Abstract: According to the non-equilibrium diffusion model of nuclear fission, the fission process can be described by the Fokker-Planck equation (F-P eq.). Through comparison of the exact solution of F-P eq. numerically with the Kramers' stationary results, the success and drawback of Kramers' stationary solution have been pointedout.