Systematic Study of nonequilibrium dynamics in phase transitions of Quark-hadron matter

我们成功地数值求解了经典的杨-米尔斯方程与现实的初始条件被称为“Nickma”。计算Kolmogorov-Sinaii熵，我们已经表明，即使在经典的场动力学熵创建。发现规范场的小而有限的初始涨落是熵产生不可缺少的条件，我们还将相干态确定为经典场的量子态，并通过经典的Yang-Mills动力学得到了相干态的时间演化.我们用由此得到的相干态导出的粒子多重数计算了熵，发现当考虑到初始态的小而有限的涨落时，熵也会产生，并证明了如果流体动力学是热平衡附近的红外动力学，则一阶相对论流体动力学必须是朗道和Lifshitz的流体动力学。

We have succeeded in numerically solving the classical Yang-Mills equations with the realistic initial conditions called Glasma. Computing the Kolmogorov-Sinaii entropy, we have shown that entropy is created even in the classical field dynamics. It is found that small but finite initial fluctuations of the gauge field are indispensable for the entropy creation,We have also identified the coherent state as the corresponding quantum state for the classical fields, and obtained the time evolution of the coherent state through the classical Yang-Mills dynamics. We have calculated the entropy from the multiplicities of the particle derived from thus obtained choherent state, and found that entropy is created once small but finite fluctuations of the initial state is taken into account.We have shown that if the hydrodynamics should be the infrared dynamics around thermal equilibrium, the first-order relativistic hydrodynamics must be the one by Landau and Lifshitz.