熵与热力学几率的研究

Research on the Entropy and Thermodynamic Probability

在孤立体系中,固定粒子数,体积和能量,视体系粒子为全同粒子,导出熵与热力学几率的关系,得到玻尔兹曼公式,假定体系在同一能级的两个量子态服从高斯分布,从而消去玻尔兹曼公式中的阶乘,使计算变得简单.这种计算方法对于研究熵的计算及应用有些帮助.

We derive the relationship of entropy and the thermodynamic probability,as well as the Boltzmann formula,in the isolated system with given particle number,volume V and energy E.In the producer,we assure that the two quantum states at the same level follow the Gauss distribution,and thus the factorial in the Boltzmann formula can be eliminated.Then the calculation becomes easier and it will be helpful to the calculation and application of entropy.