论文标题
相对论流体中的非高斯波动动力学
Non-Gaussian fluctuation dynamics in relativistic fluids
论文作者
论文摘要
我们考虑在重离子碰撞实验中与QCD临界点搜索相关的相对论流体动力学中非高斯波动的非平衡进化。我们依靠放松时间量表的层次结构,该量表出现在临界点附近的流体动力学状态下,专注于最慢的模式,例如特定熵的波动,其平衡幅度,非高斯性和典型的放松时间随着关键点的接近而增加。我们在任意相对论的流体动力流中得出了这种扩散模式的非高斯相关因子的进化方程。我们将随机扩散的较简单情况进行比较,并在静态均匀背景上进行识别,这些术语特定于具有压力波动和流动的全流动力学。
We consider non-equilibrium evolution of non-Gaussian fluctuations within relativistic hydrodynamics relevant for the QCD critical point search in heavy-ion collision experiments. We rely on the hierarchy of relaxation time scales, which emerges in the hydrodynamic regime near the critical point, to focus on the slowest mode such as the fluctuations of specific entropy, whose equilibrium magnitude, non-Gaussianity and typical relaxation time are increasing as the critical point is approached. We derive evolution equations for the non-Gaussian correlators of this diffusive mode in an arbitrary relativistic hydrodynamic flow. We compare with the simpler case of the stochastic diffusion on a static homogeneous background and identify terms which are specific to the case of the full hydrodynamics with pressure fluctuations and flow.