Condensate of $\mu$-Bose gas as a model of dark matter
| Autor: | Gavrilik, A. M., Kachurik, I. I., Khelashvili, M. V., Nazarenko, A. V. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Physica A 506, pp. 835-843 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physa.2018.05.001 |
| Popis: | Though very popular, Bose-Einstein condensate models of dark matter have some difficulties. Here we propose the so-called $\mu$-Bose gas model ($\mu$-BGM) as a model of dark matter, able to treat weak points. Within $\mu$-BGM, the $\mu$-dependence of thermodynamics arises through the respective $\mu$-calculus (it generalizes usual differential calculus) and enters the partition function, total number of particles, internal energy, etc. We study thermodynamic geometry of the $\mu$-BGM and find singular behavior of (scalar) curvature, confirming Bose-like condensation. The critical temperature of condensation $T^{(\mu)}_c$ for $\mu\neq 0$ is higher than the boson $T_c$. We find other important virtues of $\mu$-thermodynamics versus usual bosons and conclude: the condensate of $\mu$-Bose gas can serve as (an effective) model of galactic-halos dark matter. Comment: 17 pages, 2 figures; two refs. corrected, published in Physica A. arXiv admin note: substantial text overlap with arXiv:1709.05931 |
| Databáze: | arXiv |
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