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arXiv 1602.01645hep-phnucl-exnucl-th
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强子物质中声速的非广延Tsallis统计

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

Arvind Khuntia, Pragati Sahoo, Prakhar Garg, Raghunath Sahoo, Jean Cleymans

摘要:

研究了声速($c_s$)以了解重离子碰撞中产生的物质的流体动力学演化。在重离子碰撞中形成夸克-胶子等离子体(QGP)从初始的QGP经过可能的混合相演化到强子相。由于在一阶相变情形中的系统膨胀,当比热发散时,声速减小到零。我们研究了系统的声速,偏离热化玻尔兹曼分布使用非广泛的Tsallis统计。本文计算了强子共振气体在不同$q$值下的声速随温度的变化。我们观察到一个类似的质量截止行为,在非广泛的情况下,$c^{2}_s$包括较重的粒子,作为观察的情况下,强子共振气体平衡统计。此外,我们明确地提出,质量截止开始的温度,随着$q$ -参数,这暗示在非平衡的程度和系统的极限温度之间的关系。它示出,对于$q$的值以上约1.13的所有临界消失在声速,即在$q$的较低的值观察到的声速的值的减少,完全消失。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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