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Open AccessArticle

Geometric Aspects and Some Uses of Deformed Models of Thermostatistics

Bogolyubov Institute for Theoretical Physics, 14-b Metrolohichna Street, 03143 Kiev, Ukraine
Universe 2018, 4(2), 33; https://doi.org/10.3390/universe4020033
Received: 15 December 2017 / Revised: 2 February 2018 / Accepted: 8 February 2018 / Published: 11 February 2018
We consider diverse deformed Bose gas models (DBGMs) focusing on distributions and correlations of any order, and also on deformed thermodynamics. For so-called μ -deformed Bose gas model ( μ -DBGM), main thermodynamic aspects are treated: total number of particles, deformed partition function, etc. Using a geometric approach, we confirm the existence of critical behavior—Bose-like condensation; we find the critical temperature T c ( μ ) depending on μ so that T c ( μ ) > T c ( Bose ) for μ > 0 . This fact and other advantages of μ -DBGM relative to the usual Bose gas, e.g., stronger effective inter-particle attraction (controlled by the parameter μ ), allow us to consider the condensate in μ -DBGM as a candidate for modeling dark matter. As another, quite successful application we discuss the usage of the two-parameter ( μ ˜ , q )-deformed BGM for effective description of the peculiar (non-Bose like) behavior of two-pion correlations observed in the STAR experiment at RHIC (Brookhaven). Herein, we point out the transparent role of the two deformation parameters μ ˜ and q as being responsible for compositeness and (effective account of) interactions of pions, respectively. View Full-Text
Keywords: deformed Bose gas models; thermodynamic geometry; critical temperature; condensate; dark matter; higher-order distributions; correlation function intercept; two-pion correlations; RHIC/STAR experiment deformed Bose gas models; thermodynamic geometry; critical temperature; condensate; dark matter; higher-order distributions; correlation function intercept; two-pion correlations; RHIC/STAR experiment
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Gavrilik, A. Geometric Aspects and Some Uses of Deformed Models of Thermostatistics. Universe 2018, 4, 33.

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