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热力学自洽的多维QCD物态方程融合方法

Thermodynamically Consistent Merging of Multidimensional QCD Equations of State

Prachi Garella, Yumu Yang, Musa R. Khan, Tulio E. Restrepo, Joaquin Grefa, Johannes Jahan, Mauricio Hippert, Jorge Noronha, Claudia Ratti, Romulo Rougemont

arXiv 2608.20526首次发表:更新:

AI 中文总结

本研究提出热力学自洽框架融合互补模型构建多维QCD物态方程,通过最小化巨势确定混合变量,融合两类模型后所得物态方程与格点QCD结果吻合,适用于宽范围重离子现象学研究。

AI 中文摘要

我们提出了一种热力学自洽的框架,用于将互补模型融合为多维量子色动力学(QCD)物态方程。在固定温度和重子化学势下,通过最小化单一巨势确定内部混合变量,确保热力学一致性与稳定性。组分间的相互作用可实现 crossover(交叉相变)、临界点及一阶相变。作为原理验证,我们将量子范德华强子共振气体模型与全息爱因斯坦-麦克斯韦-伸缩子模型融合,所得物态方程在各区域重现了恰当的描述,与现有格点QCD结果吻合良好,适用于宽温度和重子化学势范围内的重离子现象学研究。

英文摘要

We present a thermodynamically consistent framework for merging complementary models into a multidimensional QCD equation of state. An internal mixing variable is determined by minimizing a single grand potential at fixed temperature and baryon chemical potential, ensuring thermodynamic consistency and stability. Interactions between the components allow for a crossover, a critical endpoint, and a first-order transition. As a proof of principle, we merge a quantum van der Waals hadron-resonance-gas model with a holographic Einstein--Maxwell--Dilaton model. The resulting equation of state reproduces the appropriate description in each regime, agrees well with available lattice-QCD results, and is suitable for heavy-ion phenomenology over a broad range of temperature and baryon chemical potential.

Comments4 Pages, 2 Figures. Conference Proceedings: The 22nd International Conference on Strangeness in Quark Matter (SQM 2026)

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