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

Feng Renfa; Wu Xizhen; Zhuo Yizhong

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

Abstract
HTML
Reference
Related

PDF

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.

[1]	HAN Yin-Lu . Theoretical Analysis of Double Differential Cross Sections for n+ ²³⁸U Reaction. Chinese Physics C, 2004, 28(2): 177-180.
[2]	LIU Yong . Space Charge and Longitudinal Stationarity in Bunched Beams. Chinese Physics C, 2003, 27(12): 1128-1132.
[3]	Bao Jingdong . Covariant Form of the Fission Diffusion Equation. Chinese Physics C, 1994, 18(3): 263-268.
[4]	Wang Shunuan . Channel Theory of Fission with Diffusive Dynamics. Chinese Physics C, 1994, 18(S1): 71-74.
[5]	Zhong Yunxiao , Hu Jimin . Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method. Chinese Physics C, 1994, 18(4): 340-346.
[6]	Zhong Yunxiao , Hu Jimin . Study of the Multidimensional Kramers Equation. Chinese Physics C, 1994, 18(S4): 415-420.
[7]	Zhong Yunxiao , Hu Jimin . Study of the Multidimensional Kramers'Equation. Chinese Physics C, 1994, 18(10): 949-954.
[8]	SUN Zhe-Min , FENG Ren-Fa , WU Xi-Zhen , ZHU Yi-Zhong . Overshooting and Prescission Neutron Multiplicity in Nuclear Fission. Chinese Physics C, 1992, 16(6): 571-576.
[9]	CHEN Xin-Yi , HU Ji-Min . Calculation of Nuclear Fission Using a Macroscopic Model. Chinese Physics C, 1991, 15(3): 279-283.
[10]	WU Xi-Zhen , LI Zhu-Xia , ZHUO Yi-Zhong . QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION. Chinese Physics C, 1990, 14(4): 345-351.
[11]	SHEN Wen-Qing , QIAO Wei-Min , ZHU Yong-Tai , ZHAN Wen-Long . DIFFUSION MODEL ANALYSES OF THE EXPERIMENTAL DATA OF ¹²C+²⁷Al,⁴⁰Ca DISSIPATIVE COLLISIONS. Chinese Physics C, 1984, 8(6): 732-739.
[12]	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.
[13]	HE Ze-Jun , LI Pan-Lin , ZHANG Jia-Ju . DIFFUSION MODEL OF HEAVY NUCLEUS FISSION. Chinese Physics C, 1983, 7(5): 611-617.
[14]	GAO QIN , ZHANG ZONG-YE , MA WEI-XING . ANALYSIS OF QUASI-△₃₃ DOORWAY STATE MODEL IN π NUCLEUS SCATTERING. Chinese Physics C, 1981, 5(3): 321-327.
[15]	Qiu Xi-jun , Song Hong-qiu , Huang Wei-zhi , Wang Zi-xing . A MODEL OF FISSION. Chinese Physics C, 1980, 4(5): 680-682.
[16]	He Ze-jun , Li Pan-lin . TRANSPORT MODEL OF HEAVY NUCLEUS FISSION. Chinese Physics C, 1980, 4(5): 640-648.
[17]	HU JI-MIN , WANG ZHENG-SHING . THE EVAPORATION MODEL THEORY FOR THE FISSION PROMPT NEUTRON SPECTRUM OF HEAVY NUCLEI. Chinese Physics C, 1979, 3(6): 772-783.
[18]	DAI XIAN-XI . ON THE ENERGY LEVELS AND THE STATIONARY STATES OF THE EXOTIC ATOMS CONTAINING MONOPOLES. Chinese Physics C, 1978, 2(4): 305-310.
[19]	LIU GOU-XING , WANG ZJO-GOU , YIN SHU-ZHI , HAO BIN-GAN , YUAN SHUANG-GUI , XIA XING-SHUO . ANGULAR DISTRIBUTIONS OF FISSION FRAGMENTS AND THE SHAPES OF THE SADDLE POINT OF COMPOUND NUCLEI. Chinese Physics C, 1978, 2(3): 242-248.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2707)
PDF Downloads(523)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.