Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7375252 | Physica A: Statistical Mechanics and its Applications | 2018 | 24 Pages |
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 μâ 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
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A.M. Gavrilik, I.I. Kachurik, M.V. Khelashvili, A.V. Nazarenko,