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

2024/08/07 by Yu. M. Poluéktov, Poluektov, Yu. M., A. A. Soroka +1 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Optical properties and cooling technologies in crystalline materials #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2408.03667

openalex publication_date 2024/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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