https://doi.org/10.1140/epjb/s10051-025-00967-6
Regular Article - Mesoscopic and Nanoscale Systems
Thermodynamics of the Fermi gas in a cubic cavity of an arbitrary volume
National Science Center “Kharkov Institute of Physics and Technology”, 61108, Kharkov, Ukraine
a yuripoluektov@kipt.kharkov.ua, y.poluekt52@gmail.com
Received:
23
September
2024
Accepted:
19
May
2025
Published online:
2
June
2025
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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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
