论文标题
一个，二和三维的非派别自由电子费米气体的热力学
Thermodynamics of the nonrelativistic free-electron Fermi gas in one, two, and three dimensions from the degenerate to the nondegenerate temperature regime
论文作者
论文摘要
非遗物自由电子费米气体的热力学特性对凝结物理学具有基本兴趣。先前在低温和高温极限中以三维研究（3D）研究的特性包括内部能量，热容量，零场磁性自旋敏感性和压力。在这里，我们报告了跨越化学势，内部能，磁化率和1D，2D和3D恒定体积的热容量的温度依赖性的解决方案。还计算出在恒定压力下的压力，焓，热容量，等温可压缩性以及2D和3D中的热膨胀系数与温度。此处的主要感兴趣的是这些属性的详细尺寸依赖性的交叉，在退化和非排效温度方案之间，这些属性在图形上为上述每个属性进行了图形方式说明。
The thermodynamic properties of a nonrelativistic free-electron Fermi gas is of fundamental interest in condensed matter physics. Properties previously studied in three-dimensions (3D) in the low- and high-temperature limits include the internal energy, heat capacity, zero-field magnetic spin susceptibility, and pressure. Here we report solutions for the temperature dependence spanning these two temperature regimes of the chemical potential, internal energy, magnetic susceptibility, and the heat capacity at constant volume in 1D, 2D, and 3D. Also calculated are the pressure, enthalpy, heat capacity at constant pressure, isothermal compressibility, and thermal expansion coefficient versus temperature in 2D and 3D. Of primary interest here are the detailed dimension-dependent crossovers of these properties between the degenerate and nondegenerate temperature regime, which are graphically illustrated for each of the above properties.
