Bose-Einstein Condensation of Quantum Hard-Spheres as a Deposition Phase Transition and New Relations Between Bosonic and Fermionic Pressures
| Autor: | Bugaev, Kyrill A., Ivanytskyi, Oleksii I., Grinyuk, Boris E., Yakimenko, Ivan P. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Ukr. J. Phys. Vol. 65, No. 11, p. 963-972 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.15407/ujpe65.11.963 |
| Popis: | We investigate the phase transition of Bose-Einstein particles with the hard-core repulsion in the grand canonical ensemble within the Van der Waals approximation. It is shown that the pressure of non-relativistic Bose-Einstein particles is mathematically equivalent to the pressure of simplified version of the statistical multifragmentation model of nuclei with the vanishing surface tension coefficient and the Fisher exponent $\tau_F = \frac{5}{2}$, which for such parameters has the 1-st order phase transition. The found similarity of these equations of state allows us to show that within the present approach the high density phase of Bose-Einstein particles is a classical macro-cluster with vanishing entropy at any temperature which, similarly to the classical hard spheres, is a kind of solid state. To show this we establish new relations which allow us to identically represent the pressure of Fermi-Dirac particles in terms of pressures of Bose-Einstein particles of two sorts. Comment: 8 pages |
| Databáze: | arXiv |
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