模型A中非高斯涨落的动力学
Dynamics of non-Gaussian fluctuations in model A
摘要：
出于对QCD临界点的实验研究，我们用纯弛豫动力学（模型A）模拟了随机场论。我们验证了预期的动态缩放的关联函数。利用有限尺寸标度分析，得到了动态临界指数$z=2.026(56)$ .我们研究了$n=1,2,3,4$的序参量$M(t)$的高阶矩$M^n(t)$的时间关联函数。对于所有的$n$，我们得到了具有相同临界指数$z$的动态标度，但是弛豫常数依赖于$n$。我们还研究了弛豫$M^n(t)$淬火后，在高温阶段的模拟初始化，和动力学研究在临界温度$T_c$。我们发现，演化不遵循简单的缩放与动态指数$z$，它涉及到早期的时间上升，随后后期阶段的放松。
英文摘要：
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.
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