论文标题
A模型中非高斯波动的动力学
Dynamics of non-Gaussian fluctuations in model A
论文作者
论文摘要
通过对QCD临界点的实验搜索，我们对具有纯粹松弛动力学的随机场理论进行了模拟（模型A）。我们验证相关函数的预期动态缩放。使用有限尺寸缩放分析，我们获得了动态关键指数$ z = 2.026（56）$。我们调查了较高矩的较高矩$ m^n（t）$ $ n = 1,2,3,4 $的较高矩$ m^n（t）$的时间相关功能。对于所有$ n $，我们获得具有相同关键指数$ z $的动态缩放，但是放松常数取决于$ n $。我们还研究了淬火后$ m^n（t）$的放松，在高温阶段初始化了模拟，并在临界温度$ t_c $中研究了动力学。我们发现，演变不会遵循动态指数$ z $的简单缩放，并且涉及早期上升，然后是晚期放松。
Motivated by the experimental search for the QCD critical point we perform simulations of a stochastic field theory with purely relaxational dynamics (model A). We verify the expected dynamic scaling of correlation functions. Using a finite size scaling analysis we obtain the dynamic critical exponent $z=2.026(56)$. We investigate time dependent correlation functions of higher moments $M^n(t)$ of the order parameter $M(t)$ for $n=1,2,3,4$. We obtain dynamic scaling with the same critical exponent $z$ for all $n$, but the relaxation constant depends on $n$. We also study the relaxation of $M^n(t)$ after a quench, where the simulation is initialized in the high temperature phase, and the dynamics is studied at the critical temperature $T_c$. We find that the evolution does not follow simple scaling with the dynamic exponent $z$, and that it involves an early time rise followed by late stage relaxation.
