Study of the Multidimensional Kramers'Equation

Zhong Yunxiao; Hu Jimin

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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(10) : 949-954

Study of the Multidimensional Kramers'Equation

Zhong Yunxiao ^, ,
Hu Jimin

Dept of Tech.Phys.,Peking University Beijing 100871

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Abstract：
The position of saddle point and potential energy surface near the saddle point are studied for a given fissioning system. Multidimensional inertia and viscosity tensors are calculated with both irrotational flow and Werner Wheeler approximation,and the fission rate is calculated with multidimensional Kramers'formula.It is found that the fission rate increases reasonably with the number of dimensions considered and changes only slightly with the assumptions used in kinetic energy calculations.The results of calculations indicate that a suitable three dimensional calculation will be sufficient to yield accurate fission rates.

References

[1]

P.Grange,LiJunqing and H.A.Weidenmuller,Phys.Rev.,C27（1983）2063.[2]钟云霄，高能物理与核物理，9（1985）108.[3]F.Scheuter,C.Gregoire,H.Hofmann and J.R.Nix,Phys.Lett.,149B（1984）303.[4]G.D.Adeev,I.I.Gonchar,V.V.Pash kevich,N.I.Pischasov,and O.I.Serdyuk,Sov.J.Part.Nucl.,19（1988）529.[5]胡济民、钟云霄，高能物理与核物理，4（1980）368.[6]吴锡真、卓益忠，原子核物理，2（1980）257.[7]H.A.Weidenmuller and Zhang JingShang,J.of statistical Phys.,34（1984）191.[8]J.D.Bao,Y.Z.Zhuo and J.S.Zhang,Z.Phys.,A335（1990）213.[9]P.Frobrich and G.R.Tillack,Nucl.Phys.,A540（1992）353.[10]Jingdong Bao,Yizhony Zhuo and Xizhen Wu,Commun.Theor,Phys.,17（1992）216.[11]包景东，博士论文，（1992）原子能科学院。[12]M.Abe,Phys.Rev.,C41（1990）2451.[13]包景东、卓益忠、吴锡真，高能物理与核物理，17（1993）362.[14]K.T.R.Davice,A.J.Sierk and J.R.Nix,Phys.Rev.,C13（1976）2385.[15]R.Nix, and A.J.Sierk,Nucl.Phys.,A428（1984）161.[16]P.Moller and J.R.Nix,Atomic Data and Nuclear Data Tables39（1988）213.

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[13]	MENG Jie , YIN Chuan-Zong , LIN Xin-Wei . A Simple Formula for Backbending. Chinese Physics C, 1991, 15(12): 1109-1114.
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[18]	LIU Ji-Ming , MAO Zhen-Lin . EXACT OPTICS FORMULA SET FOR THE UNIFORM-FIELD WEDGE MAGNET. Chinese Physics C, 1985, 9(5): 526-530.
[19]	Zheng Jin-yan , Cheng Tan-sheng , Yang Fu-jia . FURTHER STUDY ON NUCLEAR MASS FORMULA. Chinese Physics C, 1980, 4(5): 632-639.
[20]	CHEN JIN-QUAN , YU ZU-RONG , WANG FAN . A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF SU_n GROUP. Chinese Physics C, 1979, 3(2): 216-255.

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Zhong Yunxiao and Hu Jimin. Study of the Multidimensional Kramers'Equation[J]. Chinese Physics C, 1994, 18(10): 949-954.

Zhong Yunxiao and Hu Jimin. Study of the Multidimensional Kramers'Equation[J]. Chinese Physics C, 1994, 18(10): 949-954. 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

Study of the Multidimensional Kramers'Equation

Zhong Yunxiao ^,
Hu Jimin

Corresponding author: Zhong Yunxiao,

Dept of Tech.Phys.,Peking University Beijing 100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-10-05

Abstract: The position of saddle point and potential energy surface near the saddle point are studied for a given fissioning system. Multidimensional inertia and viscosity tensors are calculated with both irrotational flow and Werner Wheeler approximation,and the fission rate is calculated with multidimensional Kramers'formula.It is found that the fission rate increases reasonably with the number of dimensions considered and changes only slightly with the assumptions used in kinetic energy calculations.The results of calculations indicate that a suitable three dimensional calculation will be sufficient to yield accurate fission rates.