Study of the Multidimensional Kramers Equation

Zhong Yunxiao; Hu Jimin

Chinese Physics C> 1994, Vol. 18> Issue(S4) : 415-420

Study of the Multidimensional Kramers Equation

Zhong Yunxiao ,
Hu Jimin

Department of Technology Physics, Peking University, China

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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 Kxamers 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.
- multidimensional potential energy surface ,
- inertia and viscosity ,
- Kramers formula ,
- fission rate

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[9]	ZHENG Na , ZHONG Chun-Lai , FAN Tie-Shuan . Multi-modal calculations of prompt fission neutrons from ²³⁸U(n, f) at low induced energy. Chinese Physics C, 2011, 35(10): 930-934. doi: 10.1088/1674-1137/35/10/008
[10]	DONG Jian-Min , ZHANG Hong-Fei , ZUO Wei , LI Jun-Qing . Unified fission model for proton emission. Chinese Physics C, 2010, 34(2): 182-185. doi: 10.1088/1674-1137/34/2/005
[11]	LI Ru-Heng , HU Yong-Mao , LI Mao-Cai . An analysis of nuclear charge radii based on the empirical formula. Chinese Physics C, 2009, 33(S1): 123-125. doi: 10.1088/1674-1137/33/S1/039
[12]	ZHENG Yu-Zhan , LU Wu , REN Di-Yuan , WANG Gai-Li , YU Xue-Feng , GUO Qi . ELDRS and dose-rate dependence of vertical NPN transistor. Chinese Physics C, 2009, 33(1): 47-49. doi: 10.1088/1674-1137/33/1/010
[13]	ZHANG Zhen-Hua , WU Xi , LEI Yi-An , ZENG Jin-Yan . Nonadditivity in moments of inertia of high-K multiquasiparticle bands. Chinese Physics C, 2008, 32(9): 681-686. doi: 10.1088/1674-1137/32/9/001
[14]	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.
[15]	Zhong Yunxiao , Hu Jimin . Study of the Multidimensional Kramers'Equation. Chinese Physics C, 1994, 18(10): 949-954.
[16]	Jin Taihao , Zhao Zhengji , Zeng Jinyan . Particle-Number Conserving Calculation of the Bandhead Moments of Inertia of Identical SD Bands. Chinese Physics C, 1993, 17(S4): 411-421.
[17]	Chen Xinyi , Hu Jimin . Calculation of the Effective Moment of Inertia of Fissioning Nuclei at the Saddle Point. Chinese Physics C, 1989, 13(S2): 207-212.
[18]	LI Shi-Dong , KUANG Hui-Shun , ZHANG Shu-Fa , XING Jing-Ru , ZHUO Yi-Zhong , WU Xi-Zhen , FENG Ren-Fa . EFFECT OF NUCLEAR VISCOSITY ON FISSION PROCESS. Chinese Physics C, 1989, 13(2): 164-172.
[19]	Zhang Chuang , Chen Siyu . A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors. Chinese Physics C, 1988, 12(S2): 181-188.
[20]	Dai Guangxi , Li Weisheng . Exploration of Optimum Shape in Symmetric Fission. Chinese Physics C, 1988, 12(S4): 399-404.

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Zhong Yunxiao and Hu Jimin. Study of the Multidimensional Kramers Equation[J]. Chinese Physics C, 1994, 18(S4): 415-420.

Zhong Yunxiao and Hu Jimin. Study of the Multidimensional Kramers Equation[J]. Chinese Physics C, 1994, 18(S4): 415-420. shu

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Received: 1993-06-21

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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

Department of Technology Physics, Peking University, China

Received Date: 1993-06-21

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 Kxamers 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.