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arXiv · 1602.01645

Speed of Sound in Hadronic matter using Non-extensive Tsallis Statistics

Arvind Khuntia·Pragati Sahoo·Prakhar Garg·Raghunath Sahoo·Jean Cleymans
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Abstract

The speed of sound ($c_s$) is studied to understand the hydrodynamical evolution of the matter created in heavy-ion collisions. The quark-gluon plasma (QGP) formed in heavy-ion collisions evolves from an initial QGP to the hadronic phase via a possible mixed phase. Due to the system expansion in a first order phase transition scenario, the speed of sound reduces to zero as the specific heat diverges. We study the speed of sound for systems, which deviate from a thermalized Boltzmann distribution using non-extensive Tsallis statistics. In the present work, we calculate the speed of sound as a function of temperature for different $q$-values for a hadron resonance gas. We observe a similar mass cut-off behaviour in non-extensive case for $c^{2}_s$ by including heavier particles, as is observed in the case of a hadron resonance gas following equilibrium statistics. Also, we explicitly present that the temperature where the mass cut-off starts, varies with the $q$-parameter which hints at a relation between the degree of non-equilibrium and the limiting temperature of the system. It is shown that for values of $q$ above approximately 1.13 all criticality disappear in the speed of sound, i.e. the decrease in the value of the speed of sound, observed at lower values of $q$, disappears completely.

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Arvind Khuntia, Pragati Sahoo, Prakhar Garg, Raghunath Sahoo, Jean Cleymans. 2016-02-04. Speed of Sound in Hadronic matter using Non-extensive Tsallis Statistics. https://doi.org/10.1140/epja/i2016-16292-9

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