# Study of the Multidimensional Kramers'Equation

• 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.
•  [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.

Get Citation
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.
Milestone
Revised: 1900-01-01
Article Metric

Article Views(2276)
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

Title:
Email:

## Study of the Multidimensional Kramers'Equation

###### Corresponding author: Zhong Yunxiao,
• Dept of Tech.Phys.,Peking University Beijing 100871

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.

Reference (1)

/