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arXiv:2405.02427 · Optical and Quantum Electronics

On the thermodynamics of two-level Fermi and Bose nanosystems

Yu. M. Poluéktov, A. A. Soroka

Published Jul 23, 2024• 3 citations
arXivHTMLPDF
DOI
10.1007/s11082-024-07266-x

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Bose gases and Fermi gases represent two fundamental particle systems in statistical mechanics, governed by Bose-Einstein and Fermi-Dirac distributions, respectively. This paper provides a comprehensive analysis of the thermodynamic quantities, phase transitions, chemical potentials, and energy level relationships of these gases. The study utilizes Laurent series expansions and group theory analysis to explore the statistical properties and behavior of Bose and Fermi gases under various conditions. Additionally, the paper derives a new energy-mass equation based on metric and curvature RRR.