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Universe 2018, 4(1), 14; https://doi.org/10.3390/universe4010014

From Heavy-Ion Collisions to Compact Stars: Equation of State and Relevance of the System Size

Department of Physics, University of Cape Town, Rondebosch 7701, South Africa
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Received: 30 November 2017 / Revised: 11 January 2018 / Accepted: 16 January 2018 / Published: 23 January 2018
(This article belongs to the Special Issue Compact Stars in the QCD Phase Diagram)
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Abstract

In this article, we start by presenting state-of-the-art methods allowing us to compute moments related to the globally conserved baryon number, by means of first principle resummed perturbative frameworks. We focus on such quantities for they convey important properties of the finite temperature and density equation of state, being particularly sensitive to changes in the degrees of freedom across the quark-hadron phase transition. We thus present various number susceptibilities along with the corresponding results as obtained by lattice quantum chromodynamics collaborations, and comment on their comparison. Next, omitting the importance of coupling corrections and considering a zero-density toy model for the sake of argument, we focus on corrections due to the small size of heavy-ion collision systems, by means of spatial compactifications. Briefly motivating the relevance of finite size effects in heavy-ion physics, in opposition to the compact star physics, we present a few preliminary thermodynamic results together with the speed of sound for certain finite size relativistic quantum systems at very high temperature. View Full-Text
Keywords: finite temperature; finite density; quark-gluon plasma; finite size; speed of sound finite temperature; finite density; quark-gluon plasma; finite size; speed of sound
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Mogliacci, S.; Kolbé, I.; Horowitz, W.A. From Heavy-Ion Collisions to Compact Stars: Equation of State and Relevance of the System Size. Universe 2018, 4, 14.

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