AI 中文总结
本研究将流体动力学吸引子推广至未发生流体动力学化但通过膨胀失忆的经典杨-米尔斯系统，发现其经历三个阶段的演化，明确了该场景下吸引子的普适性特征。
AI 中文摘要
流体动力学吸引子的概念应用大多局限于重离子碰撞中的流体动力学化场景，为深化对这一普遍现象的理解，需将其推广至其他场景，以明确哪些特征是真正普适的，而非共形比约肯流平衡的特有属性。作为该努力的一部分，本工作旨在研究一个未发生流体动力学化但仍通过膨胀丧失记忆的系统的行为。我们发现该系统经历三个阶段：早期阶段，膨胀驱动纵向压强与能量密度之比 $P_L/\epsilon$ 以 $\tau^{-2}$ 的速率收敛至 $-1$；中期阶段，记忆损失部分恢复，此时相互作用主导的自由度因膨胀主导的演化而随时间二次增长；晚期阶段，相互作用在状态空间中重组信息，无显著的记忆损失或恢复。
英文摘要
Applications of the concept of a hydrodynamic attractor have been mostly constrained to the context of hydrodynamization in heavy ion collisions. Deepening the understanding of the general phenomenon requires generalizing it to other contexts in order to see which facettes are truly universal and not a peculiarity of equilibrating conformal Bjorken flow. As part of this endeavor, this work aims to study the behaviour in a system that does not hydrodynamize, but nevertheless loses memory through expansion. We find that the system goes through three stages. At early times, expansion drives the ratio $P_L/ε$ to converge to $-1$ as $τ^{-2}$. This memory loss is partially restored at intermediate times, when interaction dominated degrees of freedom through expansion dominated evolution grow quadraticallly in time. At late times, interactions shuffle of information in state space without significant memory loss or restoration.
Comments10+2 pages, 7 figures, 2 tables
