CALCULATION OF THE NUCLEAR FISSION RATE BY SOLVING F-P EQUATION NUMERICALLY

WU XI-ZHEN; ZHUO YI-ZHONG; CHANG XI-ZHEN; YANG YING-HUI; MA ZHONG-YU; FENG REN-FA

Chinese Physics C> 1983, Vol. 7> Issue(6) : 716-723

CALCULATION OF THE NUCLEAR FISSION RATE BY SOLVING F-P EQUATION NUMERICALLY

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Abstract：
In this paper, the two dimensional Fokker-Planck Equation is exactly solved by means of the numerical method. The velocity distribution at the saddle point, the second moments of the coordinate and velocity, the time development of the nuclear fission rate are studied. The maximum of the fission rate at a certain viscosity is exhibited by studying the dependence of the fission rate on the nuclear viscosity.

References

[1]	H. A. Kramers, Physica, 7(1940), 284.[2] 吴锡真、卓益忠, 高能物理与核物理, 4(1980), 113.[3] P. Grange and H. A. Weidenmuller, Physical Letters, 96B(1980), 26.[4] 卓益忠等, 私人通讯.[5] Yang Ying-hui, Wu Xi-zhen, Peng Qing-quail, Numerical Method of Two Dmensional Fokker-Planck Equation, to he published.

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[2]	LI Kang , WANG Jian-Hua . Green Function Solution to the Doublet Potential Equations of the Moving Dyons. Chinese Physics C, 2005, 29(8): 731-735.
[3]	JIA Ying , LIU Ling , BAO Jing-Dong . Thermal Fission Rate of a Compound Nucleus at High Temperatures. Chinese Physics C, 2003, 27(7): 610-614.
[4]	Shi Kangiie , Li Guangliang , Fan Heng , Hou Boyu . Multi-Parameter Solution to the Reflection Equation of Z_n Belavin Model. Chinese Physics C, 1999, 23(5): 425-435.
[5]	Feng Renfa , Wu Xizhen , Zhuo Yizhong . On Theoretical Analysis of Kramers' Stationary Solution in the Diffusion Model of Fission. Chinese Physics C, 1994, 18(4): 361-365.
[6]	Bian Jianguo , Huang Tao . Pseudo-Scalar Meson Solutions of the Equal-Time Equation IN QCD. Chinese Physics C, 1994, 18(2): 127-136.
[7]	Bao Jingdong . Covariant Form of the Fission Diffusion Equation. Chinese Physics C, 1994, 18(3): 263-268.
[8]	LING Yin-Sheng . The Algebraic Method to Solve the Fission F-P Equation. Chinese Physics C, 1992, 16(8): 743-748.
[9]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[10]	DAI You-Shan , SONG Xiao-Tong . THE BETHE-SALPETER EQUATION FOR SPIN (0—3/2) ELECTROMAGNETIC BOUND SYSTEM AND ITS APPROXIMATE SOLUTION. Chinese Physics C, 1986, 10(5): 527-535.
[11]	YAN Jun-Hu . EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE. Chinese Physics C, 1985, 9(3): 367-370.
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[13]	FENG Ren-Fa , ZHUO Yi-Zhong , LI Jun-Qing . ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE. Chinese Physics C, 1984, 8(4): 453-460.
[14]	MA ZHONG-QI . THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE. Chinese Physics C, 1982, 6(2): 176-184.
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[18]	Tao Fu-zhen , Yao Qi-yuan , Ou Zhi , He Zhi-qiang . THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY. Chinese Physics C, 1980, 4(2): 179-185.
[19]	Wu Xi-zhen , Zhuo Yi-zhong . STUDYING NUCLEAR FISSION RATE FROM THE POINT OF VIEW OF BROWNIAN MOTION. Chinese Physics C, 1980, 4(1): 113-120.
[20]	SHI YI-JIN , HE YIN . INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION. Chinese Physics C, 1979, 3(4): 418-431.

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WU XI-ZHEN, ZHUO YI-ZHONG, CHANG XI-ZHEN, YANG YING-HUI, MA ZHONG-YU and FENG REN-FA. CALCULATION OF THE NUCLEAR FISSION RATE BY SOLVING F-P EQUATION NUMERICALLY[J]. Chinese Physics C, 1983, 7(6): 716-723.

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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

CALCULATION OF THE NUCLEAR FISSION RATE BY SOLVING F-P EQUATION NUMERICALLY

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-12-05

Abstract: In this paper, the two dimensional Fokker-Planck Equation is exactly solved by means of the numerical method. The velocity distribution at the saddle point, the second moments of the coordinate and velocity, the time development of the nuclear fission rate are studied. The maximum of the fission rate at a certain viscosity is exhibited by studying the dependence of the fission rate on the nuclear viscosity.