圆盘渗流模型中的临界现象及其在相对论重离子碰撞中的应用
Critical phenomena in disc-percolation model and its application to relativistic heavy ion collisions
摘要：
通过研究圆盘连续渗流中的临界现象，找到了一种新的临界点定位方法，即用$P_\infty$的拐点作为渗流阈值的评价。磁化率定义为$P_\infty$的导数，具有有限尺寸标度性质，标度指数为相关长度临界指数$ν$的倒数。讨论了这种方法在相对论重离子碰撞临界现象研究中的可能应用。解禁闭的临界点可以通过$P_{\rm QGP}$的拐点--QGP形成事件的概率来提取。其导数的有限尺寸标度可以给出临界指数$ν$，这是一个罕见的情况下，可以提供一个实验测量的临界指数在重离子碰撞。
英文摘要：
Through studying the critical phenomena in continuum-percolation of discs, we find a new approach to locate the critical point, i.e. using the inflection point of $P_\infty$ as an evaluation of the percolation threshold. The susceptibility, defined as the derivative of $P_\infty$, possess finite-size scaling property, where the scaling exponent is the reciprocal of $ν$ -- the critical exponent of correlation length. The possible application of this approach to the study of the critical phenomena in relativistic heavy ion collisions is discussed. The critical point for deconfinement can be extracted by the inflection point of $P_{\rm QGP}$ -- the probability for the event with QGP formation. The finite-size scaling of its derivative can give the critical exponent $ν$, which is a rare case that can provide an experimental measure of a critical exponent in heavy ion collisions.
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