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Condensate of μ-Bose gas as a model of dark matter

A.M. Gavrilik, I.I. Kachurik, M.V. Khelashvili and A.V. Nazarenko

Physica A: Statistical Mechanics and its Applications, 2018, vol. 506, issue C, 835-843

Abstract: Though very popular, Bose–Einstein condensate models of dark matter have some difficulties. Here we propose the so-called μ-Bose gas model (μ-BGM) as a model of dark matter, able to treat weak points. Within μ-BGM, the μ-dependence of thermodynamics arises through the respective μ-calculus (it generalizes usual differential calculus) and enters the partition function, total number of particles, internal energy, etc. We study thermodynamic geometry of the μ-BGM and find singular behavior of (scalar) curvature, confirming Bose-like condensation. The critical temperature of condensation Tc(μ) for μ≠0 is higher than the boson Tc. We find other important virtues of μ-thermodynamics versus usual bosons and conclude: the condensate of μ-Bose gas can serve as (an effective) model of galactic-halos dark matter.

Keywords: Boson condensate; Deformed bose gas model; Nonstandard statistics; Critical temperature; Thermodynamic geometry; Dark matter halo (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:506:y:2018:i:c:p:835-843

DOI: 10.1016/j.physa.2018.05.001

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