论文标题

阳米尔斯动力学理论中流体动力吸引子的指数方法

Exponential Approach to the Hydrodynamic Attractor in Yang-Mills Kinetic Theory

论文作者

Du, Xiaojian, Heller, Michal P., Schlichting, Sören, Svensson, Viktor

论文摘要

我们使用主成分分析来研究Yang-Mills动力学理论中的流体动力吸引子,并具有彩色玻璃冷凝水初始条件的Bjorken扩展。较晚的流体动力吸引子的特征是单个主成分确定整体能量尺度。如何达到的方式受到表征压力各向异性偏差,筛选质量和散射速率的单个转向型主成分的消失。我们发现,对于较晚的耦合,在后期的流体动力吸引子的方法得到了指数式的很好描述。它对耦合的衰减速率的依赖性变成了对剪切粘度与熵密度比的简单依赖性。

We use principal component analysis to study the hydrodynamic attractor in Yang-Mills kinetic theory undergoing the Bjorken expansion with Color Glass Condensate initial conditions. The late time hydrodynamic attractor is characterized by a single principal component determining the overall energy scale. How it is reached is governed by the disappearance of single subleading principal component characterizing deviations of the pressure anisotropy, the screening mass and the scattering rate. We find that for wide range of couplings the approach to the hydrodynamic attractor at late times is well described by an exponential. Its decay rate dependence on the coupling turns out to translate into a simple dependence on the shear viscosity to entropy density ratio.

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