论文标题
理想费米气体的热力学系数
Thermodynamic Coefficients of Ideal Fermi-gas
论文作者
论文摘要
我们介绍了非相关理想的费米 - 气体的Helmholtz自由能的第一和第二个衍生物的分析公式。重要的热力学量，例如热容量，声速，热容量比和其他人可以通过衍生物轻松表达。我们证明了正确的理想玻尔兹曼气体和低温的费米 - 瓦斯渐近线，并在这些限制情况下为热力学功能提供了校正。可以使用开发的自由可用Python模块IFG准确地执行理想费米 - 气体的热力学特性的数值计算。
We present analytical formulae for the first and second derivatives of the Helmholtz free energy of non-relativistic ideal Fermi-gas. Important thermodynamic quantities such as heat capacity, sound velocity, heat capacity ratio and others can be easily expressed through the derivatives. We demonstrate correct ideal Boltzmann gas and low--temperature Fermi-gas asymptotes and derive corrections to thermodynamic functions for these limiting cases. Numerical computations of thermodynamic properties of ideal Fermi-gas can be accurately performed using the developed freely available Python module ifg.
