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

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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.