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arXiv · 1805.02504

Condensate of $\mu$-Bose gas as a model of dark matter

A. M. Gavrilik·I. I. Kachurik·M. V. Khelashvili·A. V. Nazarenko
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Abstract

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.

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gr-qcastro-ph.GAcond-mat.quant-gashep-th

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BibTeXRIS

A. M. Gavrilik, I. I. Kachurik, M. V. Khelashvili, A. V. Nazarenko. 2018-05-03. Condensate of $\mu$-Bose gas as a model of dark matter. https://doi.org/10.1016/j.physa.2018.05.001

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