论文标题
使用Mori-Zwanzig-Nakjima投射操作员方法中的富含重子液的动态密度相关方法
Dynamic density correlations in a baryon rich fluid using Mori-Zwanzig-Nakjima projection operator method
论文作者
论文摘要
在这项工作中，我们使用Mori-Zwanzig-Nakajima投影算子方法计算动态密度相关性。通过明智的慢变量选择，我们从广义Langevin方程开始得出这些慢变量的演化方程。我们获得了密度相关函数的流体动力形式，该函数由两个声峰组成：也称为Brillouin峰和一个热峰：也称为Rayleigh Peak。然后，我们使用从Hadronic物质的统计引导模型中提取的临界点附近的动态密度相关性估算了临界点附近的动态密度相关性。我们发现，散装粘度在领先顺序$ \ sim | t |^{ - \ frac {5} {4}} $上有助于声音衰减，而热电导率则以子领先顺序$ \ sim | t | t |^{ - \ frac {3} {4} {4}} $贡献。另一方面，只有导热率在领先顺序$ \ sim | t |^{\ frac {1} {4}}} $上对热扩散率有贡献。我们讨论了这些结果在重型离子碰撞实验中搜索QCD临界点的含义。
In this work, we calculate the dynamic density correlations using Mori-Zwanzig-Nakajima projection operator method. With a judicious choice of slow variables we derive the evolution equations for these slow variables starting from generalised Langevin equation. We get the hydrodynamic form of density correlations function which consist of two acoustic peaks: also called Brillouin peaks, and one thermal peak: also called Rayleigh peak. We then estimate the dynamic density correlations near the critical point using critical exponents extracted from the statistical bootstrap model of hadronic matter. We find that the bulk viscosity contributes to the sound attenuation at leading order $\sim|t|^{-\frac{5}{4}}$ while the thermal conductivity contribute at sub-leading order $\sim|t|^{-\frac{3}{4}}$. On the other hand, only the thermal conductivity contributes at leading order $\sim|t|^{\frac{1}{4}}$ to the thermal diffusivity. We discuss the implications of these results in a search for the QCD critical point in the heavy-ion collision experiments.
