混合相中的高阶守恒电荷涨落
Higher order conserved charge fluctuations inside the mixed phase
摘要:
给出了混合相内守恒电荷统计涨落高阶累积量的一般公式。作为一个特殊的例子,在巨正则系综的范德华模型被使用。在临界点(CP)附近的保守电荷波动的高阶措施的hyperkurtosis计算。该分析包括相图上的混合相区和纯相区。结果表明,偶数阶波动的措施,如缩放方差,峰度,超峰度,只有正值的混合阶段,并在CP无穷大。对于奇数阶的措施,如偏度和hyperskewness,正和负值的区域附近的左,右双节点,分别。所得到的结果进行了讨论的上下文中的事件由事件的波动测量重离子碰撞。
英文摘要:
General formulas are presented for higher order cumulants of the conserved charge statistical fluctuations inside the mixed phase. As a particular example the van der Waals model in the grand canonical ensemble is used. The higher order measures of the conserved charge fluctuations up to the hyperkurtosis are calculated in a vicinity of the critical point (CP). The analysis includes both the mixed phase region and the pure phases on the phase diagram. It is shown that even-order fluctuation measures, e.g. scaled variance, kurtosis, and hyperkurtosis, have only positive values in the mixed phase, and go to infinity at the CP. For odd-order measures, such as skewness and hyperskewness, the regions of positive and negative values are found near the left and right binodals, respectively. The obtained results are discussed in a context of the event-by-event fluctuation measurements in heavy-ion collisions.
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