Study of the Multidimensional Kramers Equation

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.