2017/09/18 by A. M. Gavrilik, I. I. Kachurik, Gavrilik, A. M. +5 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Astrophysics of Galaxies (astro-ph.GA) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #astro-ph.GA #cond-mat.stat-mech #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1709.05931
7 pages, two-column style, 2 figures; v.2: two refs. added, few corrections in formulas, expanded discussion and conclusions, 8 pages
openalex publication_date 2017/09/18 · arxiv created 2017/09/25 · arxiv updated 2017/10/03 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
For the recently introduced μ-deformed analog of Bose gas model (μ-Bose gas model), its thermodynamical aspects e.g. total number of particles and the partition function are certain functions of the parameter μ. This basic μ-dependence of thermodynamics of the μ-Bose gas arises through the so-called μ-calculus, an alternative to the known q-calculus (Jackson derivative, etc.), so we include main elements of μ-calculus. Likewise, virial expansion of EOS and virial coefficients, the internal energy, specific heat and the entropy of μ-Bose gas show μ-dependence. Herein, we study thermodynamical geometry of μ-Bose gas model and find the singular behavior of (scalar) curvature, signaling for Bose-like condensation. The critical temperature of condensation T(μ)c depending on μ is given and compared with the usual Tc, and with known Tc(p,q) of p,q-Bose gas model. Using the results on μ-thermodynamics we argue that the condensate of μ-Bose gas, like the earlier proposed infinite statistics system of particles, can serve for effective modeling of dark matter.