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.
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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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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.

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