费米气体在任意体积的立方腔中的热力学

IF 1.7 4区物理与天体物理 Q3 PHYSICS, CONDENSED MATTER

The European Physical Journal B Pub Date : 2025-06-02 DOI:10.1140/epjb/s10051-025-00967-6

Yu. M. Poluektov, A. A. Soroka

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引用次数: 0

摘要

对于在固定体积的立方腔内填充空间的费米气体，在任意温度和粒子数下，计算其热力学特性，即熵、热力学势、能量、压力、热容和热力学系数。考虑了能级的离散结构，研究了低温下的尺寸效应。考虑了向连续极限的过渡。层群的温度依赖性。

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Thermodynamics of the Fermi gas in a cubic cavity of an arbitrary volume

For the Fermi gas filling the space inside a cubic cavity of a fixed volume, at arbitrary temperatures and number of particles, the thermodynamic characteristics are calculated, namely: entropy, thermodynamic potential, energy, pressure, heat capacities, and thermodynamic coefficients. The discrete structure of energy levels is taken into account and size effects at low temperatures are studied. The transition to the continual limit is considered.

The temperature dependences of populations of levels.

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