多维Kramers公式的研究

Study of the Multidimensional Kramers'Equation

本文研究了鞍点附近多维的位能曲面及鞍点所在位置；并用ＷｅｒｎｅｒＷｈｅｅｌｅｒ及无旋液体等两种方法计算了多维的质量系数与粘滞系数，然后用多维Ｋｒａｍｅｒｓ公式计算了裂变速率．发现裂变速率随着维数的增加而适当增大．不同的形变参量以及不同的计算质量和粘滞系数方法对计算核裂变速率影响不大．从结果看，采用三维计算裂变几率已足够准确．

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.