QCD相变中的有限体积非广延统计
Finite-Volume Non-extensive statistical in QCD phase
- Taiz University（泰兹大学）
- Universiti Putra Malaysia (UPM)（马来西亚博特拉大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究在非广延Tsallis统计框架下，利用MIT袋模型分析QCD有限体积热力学量，发现$\mathfrak{q}$参数显著影响去禁闭相变点。
AI中文摘要：
近期，一些研究开始在量子色动力学（QCD）中应用Tsallis统计。在Tsallis统计中，Tsallis参数$\mathfrak{q}$反映了长程相互作用、非马尔可夫记忆和多分形边界效应，并直接关联到涨落系统中的温度方差，而这些效应在玻尔兹曼-吉布斯极限下消失。这是我们研究热密系统热力学变量的动机。在非广延色QCD MIT袋模型中，我们使用Tsallis分布来描述与状态方程相关的热响应函数。本研究聚焦于从强子气体到夸克-胶子等离子体的去禁闭相变，以分析在Tsallis统计下有限体积系统中热力学量（如能量密度、压强和相互作用度量）的行为。此外，我们还研究了$\mathfrak{q}$参数对相变点的影响。我们发现，在非广延统计框架下，相变点受到$\mathfrak{q}$参数的显著影响。
英文摘要：
Recently, some research has emerged that used the Tsallis statistics in Quantum Chromodynamics (QCD). In Tsallis statistics, the Tsallis parameter $\mathfrak{q}$ reflects long-range interactions, non-Markovian memory, and multifractal boundary effects, linking directly to temperature variance in fluctuating systems, which vanish in the Boltzmann-Gibbs limit. This is our motivation to investigate the thermodynamical variables of a hot and dense system. Within a non-extensive color QCD MIT-Bag Model and using the Tsallis distributions to describe the thermal response functions related to the equation of state. The study focuses on the deconfinement phase transition from a hadronic gas to a quark-gluon plasma in order to analyze the behavior of thermodynamical quantities of the system, such as the energy density, the pressure and the interaction measure at finite volume under Tsallis statistics. Furthermore, the effect of the $\mathfrak{q}$-parameter on the phase transition point is investigated. We find that the transition point is significantly affected by the $\mathfrak{q}$-parameter in the framework of non-extensive statistics.
