论文标题
慢速，平衡模式在QCD临界点附近的动态结构因子上的作用
Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point
论文作者
论文摘要
已经研究了在动力学密度波动的功率谱上延伸流体动力学在QCD临界点附近延伸水动力学的有效性，从而延伸了水平衡模式（OEM）的作用。当由于引入OEM而没有改变热力学的广泛性质，我们已经使用了慢速模式的运动方程。我们发现，扩展的条件对OEM与四个速度差异的耦合造成了额外的限制。在OEM存在下的动态结构因子（SNN）显示了四个Lorentzian峰不对称位置约为$ω（\ text {频率}）= 0 $，而没有任何OEM的动态结构因子显示了三个众所周知的Lorentzian峰。在OEM存在下，峰的宽度降低。我们发现，由于不平衡模式与流体动力模式的耦合，不对称峰起源于。还表明，如果使用一阶流体动力学（相对论Navier-Stokes），则OEM对SNN具有可忽略的影响。 OEM的引入降低了瑞利峰的宽度，表明波动的衰减速率降低，这导致降低，这是临界终点（CEP）的众所周知的特征。
The role of slow out of equilibrium modes (OEM), introduced to extend the validity of hydrodynamics near the QCD critical point on the power spectrum of dynamical density fluctuations has been studied. We have used the equation of motion of slow modes for the situation when the extensive nature of thermodynamics is not altered due to the introduction of OEM. We find that the extensivity condition puts an extra constraint on the coupling of OEM with the four divergence of velocity. The dynamic structure factor (Snn) in presence of the OEM shows four Lorentzian peaks asymmetrically positioned about $ω(\text{frequency})=0$, whereas the dynamic structure factor without the presence of any OEM shows three well-known Lorentzian peaks. The width of the peaks are reduced in presence of OEM. We find that the asymmetric peaks originate due to the coupling of the out-of-equilibrium modes with the hydrodynamic modes. It is also shown that the OEM has negligible effects on Snn if first order hydrodynamics (relativistic Navier-Stokes) is used. The introduction of OEM reduces the width of the Rayleigh peak indicating the reduction in the decay rate of the fluctuation which leads to slowing down, a well-known characteristics of the critical end point (CEP).
