低温费米气体的数值计算

Numerical Computation of the Low Temperature Fermi Gas

通过对Fermi-Dirac分布函数的线性近似处理,提出了低温费米气体的简单模型,并利用Mathematica5.0软件进行了编程计算,给出了化学势和内能等热力学量的近似表达式,与级数展开法进行比较,结果表明线性近似处理方法能够较为准确的定量描述费米气体的低温行为.

Through the linear approximation processing of Fermi-Dirac distribution function, the simple mode of low temperature Fermi gas is proposed. Using the Mathemtica 5.0 software, the approximate expressions of chemical potential and internal energy are given. The linear approximation processing method indicates the quantitative behavior of low temperature Fermi gas better than that of the series expand method.