论文标题
相空间中的流体动力吸引子
Hydrodynamic attractors in phase space
论文作者
论文摘要
在RHIC和LHC的超相关重型离子碰撞的早期阶段，流体动力吸引子最近变得突出。我们从相位空间的角度批判性地检查了有关该主题的现有思想。在这张图中，流体动力吸引子可以看作是相位空间区域动态维度降低的更一般现象的特殊情况。我们使用主组件分析对此进行量化。此外，我们将众所周知的慢速近似调整到此设置。这些技术很容易概括到更高维相空间，我们通过对数据集的初步分析来说明这一点，该数据集描述了在放松时间近似中浸入玻尔兹曼动力学方程的16维表示初始条件的5维流形的演化。
Hydrodynamic attractors have recently gained prominence in the context of early stages of ultra-relativistic heavy-ion collisions at the RHIC and LHC. We critically examine the existing ideas on this subject from a phase space point of view. In this picture the hydrodynamic attractor can be seen as a special case of the more general phenomenon of dynamical dimensionality reduction of phase space regions. We quantify this using Principal Component Analysis. Furthermore, we adapt the well known slow-roll approximation to this setting. These techniques generalize easily to higher dimensional phase spaces, which we illustrate by a preliminary analysis of a dataset describing the evolution of a 5-dimensional manifold of initial conditions immersed in a 16-dimensional representation of the phase space of the Boltzmann kinetic equation in the relaxation time approximation.
