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arXiv 2102.08140hep-phnucl-th
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强相互作用夸克-胶子等离子体的扩散系数矩阵

Diffusion coefficient matrix of the strongly interacting quark-gluon plasma

Jan A. Fotakis, Olga Soloveva, Carsten Greiner, Olaf Kaczmarek, Elena Bratkovskaya

备注：
16 pages, 10 figures
发表信息：
Phys. Rev. D 104, 034014 (2021)
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摘要：

研究了强相互作用夸克-胶子等离子体（sQGP）的扩散性质，计算了重子（$B$）、奇异（$S$）和电（$Q$）电荷的扩散系数矩阵-- $κ_{qq'}$（$q,q' = B, S, Q$），并给出了它们对温度$T$和重子化学势$μ_B$的依赖关系.非微扰性质的sQGP内的动力学准粒子模型（DQPM），这是匹配的，以重现状态方程的部分子物质以上的解除禁闭温度$T_c$从格点QCD评估。扩散系数的计算基于两种方法：i）线性化Boltzmann方程的Chapman-Enskog方法，其允许探索在Knudsen数的首阶中的相空间分布函数的非平衡校正，以及ii）弛豫时间近似（RTA）。在这项工作中，我们将探讨这两种方法之间的差异。我们发现一个很好的协议与现有的格点QCD数据的情况下，电荷扩散系数（或电导率）在消失的重子化学势，以及定性的协议与最近的预测从全息方法的所有对角分量的扩散系数矩阵。扩散系数矩阵的知识也是特别感兴趣的更准确的流体动力学模拟。

英文摘要：

We study the diffusion properties of the strongly interacting quark-gluon plasma (sQGP) and evaluate the diffusion coefficient matrix for the baryon ($B$), strange ($S$) and electric ($Q$) charges - $κ_{qq'}$ ($q,q' = B, S, Q$) and show their dependence on temperature $T$ and baryon chemical potential $μ_B$. The non-perturbative nature of the sQGP is evaluated within the Dynamical Quasi-Particle Model (DQPM) which is matched to reproduce the equation of state of the partonic matter above the deconfinement temperature $T_c$ from lattice QCD. The calculation of diffusion coefficients is based on two methods: i) the Chapman-Enskog method for the linearized Boltzmann equation, which allows to explore non-equilibrium corrections for the phase-space distribution function in leading order of the Knudsen numbers as well as ii) the relaxation time approximation (RTA). In this work we explore the differences between the two methods. We find a good agreement with the available lattice QCD data in case of the electric charge diffusion coefficient (or electric conductivity) at vanishing baryon chemical potential as well as a qualitative agreement with the recent predictions from the holographic approach for all diagonal components of the diffusion coefficient matrix. The knowledge of the diffusion coefficient matrix is also of special interest for more accurate hydrodynamic simulations.

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