Critical behavior of higher cumulants of order parameter in the 3D-Ising universality class

QCD deconfinement phase transition is supposed to be the same universality class as the 3D-Ising model. According to the universality of critical behavior, the Binder-like ratios and ratios of higher cumulants of order parameter near the critical temperature in the 3D-Ising model are studied. The Bi...

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Bibliographic Details
Published in:Chinese physics C 2012-08, Vol.36 (8), p.727-732
Main Author: 陈丽珠 潘雪 陈晓松 吴元芳
Format: Article
Language:English
Subjects:
Atomic collisions
Correlation
Critical point
Ising模型
Kurtosis
Order parameters
Phase transformations
Platforms
Quantum chromodynamics
临界温度
临界行为
序参量
相对论重离子碰撞
累积量
退禁闭相变
阶跃函数
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Summary:QCD deconfinement phase transition is supposed to be the same universality class as the 3D-Ising model. According to the universality of critical behavior, the Binder-like ratios and ratios of higher cumulants of order parameter near the critical temperature in the 3D-Ising model are studied. The Binder-like ratio is shown to be a step function of temperature. The critical point is the intersection of the ratios of different system sizes between two platforms. The normalized cumulant ratios, like the Skewness and Kurtosis, do not diverge with correlation length, contrary to the corresponding cumulants. Possible applications of these characters in locating critical point in relativistic heavy ion collisions are discussed.
ISSN:1674-1137
0254-3052
DOI:10.1088/1674-1137/36/8/008