标题： 通往平衡熵的阶梯 显示英文标题

标题： Stairway to equilibrium entropy

摘要： 我们计算了1RCBH模型在均匀各向同性化动力学中的非平衡熵的时间演化，该模型在其定义于有限温度和R电荷密度的共形相图中存在一个临界点。 我们还评估了介质的压力各向异性以及标量凝聚体的时间演化。 我们揭示了一种新的特性（在之前工作中分析的Bjorken流动力学中不存在），这种特性对于所有分析的初始数据都可观察到：在热力学平衡附近，熵密度形成了类似楼梯形状的一系列接近平台的周期序列。 我们发现，楼梯中平台形成的周期是系统最慢准正规模振荡周期的一半，因此与系统与熵产生不可逆性相关的晚期耗散动力学密切相关。 对于零密度且标量凝聚体消失的纯热SYM等离子体的特殊情况，我们发现楼梯的周期是与流体压力各向异性晚期平衡相关的最慢准正规模振荡周期的一半；而在有限化学势的情况下，系统的最慢准正规模与标量凝聚体的晚期平衡相关。 显示英文摘要

摘要： We compute the time evolution of the non-equilibrium entropy in the homogeneous isotropization dynamics of the 1RCBH model, which has a critical point in its conformal phase diagram defined at finite temperature and R-charge density. We also evaluate the time evolution of the pressure anisotropy and the scalar condensate of the medium. We disclose a new feature (not present in the Bjorken flow dynamics analyzed in previous works), which is observed for all the analyzed initial data: the formation of a periodic sequence of several close plateaus in the form of a stairway for the entropy density near thermodynamic equilibrium. We find that the period of plateau formation in the stairway is half the period of oscillations of the slowest quasinormal mode of the system, which is therefore strongly tied to the late time dissipative dynamics of the system associated to the irreversibility of entropy production. For the particular case of the purely thermal SYM plasma at zero density and vanishing scalar condensate, we find that the period of the stairway is half the period of oscillations of the slowest quasinormal mode associated to the late time equilibration of the pressure anisotropy of the fluid, while at finite chemical potential the slowest quasinormal mode of the system is associated to the late time equilibration of the scalar condensate.