Thermodynamic characteristics of ideal quantum gases in harmonic potentials within exact and semiclassical approaches
| Autor: | Bilokon, Valeriia, Bilokon, Elvira, Peletminskii, Alexander, Sotnikov, Andrii |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Physica A 589 (2022) 126605 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physa.2021.126605 |
| Popis: | We theoretically examine equilibrium properties of the harmonically trapped ideal Bose and Fermi gases in the quantum degeneracy regime. We analyze thermodynamic characteristics of gases with a finite number of atoms by means of the known semiclassical approach and perform comparison with exact numerical results. For a Fermi gas, we demonstrate deviations in the Fermi energy values originating from a discrete level structure and show that these are observable only for a small number of particles. For a Bose gas, we observe characteristic softening of phase transition features, which contrasts to the semiclassical predictions and related approximations. We provide a more accurate methodology of determining corrections to the critical temperature due to finite number of particles. Comment: 8 pages, 7 figures, published version |
| Databáze: | arXiv |
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