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

2018/05/31 by A. M. Gavrilik, I. I. Kachurik, M. V. Khelashvili +1 · 1 citation
Physics and Astronomy · #gr-qc #astro-ph.GA #cond-mat.quant-gas #hep-th

paper · pdf · doi:10.1016/j.physa.2018.05.001

published as Physica A 506, pp. 835-843 (2018) · 17 pages, 2 figures; two refs. corrected, published in Physica A. arXiv admin note: substantial text overlap with arXiv:1709.05931

arxiv created 2018/05/31 · arxiv updated 2018/06/04

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 T^(μ)_c for μ≠ 0 is higher than the boson T_c. 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.

Citations

• The use of μ-Bose gas model for effective modeling of dark matter

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• The q-extension of iterated integrals and nested sums in quantum field theory

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