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arXiv 2402.09203hep-phnucl-th
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非广延Polyakov手征SU(3)夸克平均场模型中夸克物质的热力学性质和相图

Thermodynamic properties and phase diagram of quark matter within non-extensive Polyakov chiral SU (3) quark mean field model

Dhananjay Singh, Arvind Kumar

AI总结:

本文应用Tsallis非广延统计研究Polyakov手征SU(3)夸克平均场模型中夸克物质的热力学性质与相图,发现非广延性增强会使临界终点向低温和更高化学势方向移动。

摘要:

在本文中,我们应用Tsallis非广延统计来研究Polyakov手征SU(3)夸克平均场模型中夸克物质的热力学性质和相图。在该模型中,夸克物质的性质在有限温度和化学势下通过标量场$σ, ζ, δ, χ$、矢量场$ω, ρ, ϕ$以及Polyakov场$Φ$和$\arΦ$进行修正。非广延效应通过一个无量纲参数$q$引入,并将结果与广延情形($q\ ightarrow1$)进行比较。在非广延情形下,Fermi-Dirac(FD)函数中的指数被修改为$q$-指数形式。我们研究了$q$参数对热力学性质的影响:压强、能量和熵密度以及迹反常。还研究了具有非广延效应的声速和比热。此外,探讨了非广延性对退禁闭相变以及$u, d, s$夸克手征相变的影响。我们发现,随着非广延性的增加(即$q>1$),定义相变顺序在$(T - μ)$相图中发生改变的临界终点(CEP)会向更低的温度值$T_{CEP}$和更高的化学势值$μ_{CEP}$移动。

英文摘要:

In the present work, we apply Tsallis non-extensive statistics to study the thermodynamic properties and phase diagram of quark matter in the Polyakov chiral SU(3) quark mean field model. Within this model, the properties of the quark matter are modified through the scalar fields $σ, ζ, δ, χ$, the vector fields $ω, ρ$, $ϕ$, and the Polyakov fields $Φ$ and $\barΦ$ at finite temperature and chemical potential. Non-extensive effects have been introduced through a dimensionless parameter $q$ and the results are compared to the extensive case ($q\rightarrow1$). In the non-extensive case, the exponential in the Fermi-Dirac (FD) function is modified to a $q$-exponential form. The influence of $q$ parameter on the thermodynamic properties: pressure, energy, and entropy density as well as trace anomaly is investigated. The speed of sound and specific heat with non-extensive effects is also studied. Furthermore, the effect of non-extensivity on the deconfinement phase transition as well as the chiral phase transition of $u, d,$ and $s$ quarks is explored. We found that the critical end point (CEP), which defines the point in the $(T - μ)$ phase diagram where the order of the phase transition changes, shifts to a lower value of temperature, $T_{CEP}$, and a higher value of chemical potential, $μ_{CEP}$, as the non-extensivity is increased, i.e., $q>$1.

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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