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 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.
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CHEN Li-Zhu, PAN Xue, CHEN Xiao-Song and WU Yuan-Fang. Critical behavior of higher cumulants of order parameter in the 3D-Ising universality class[J]. Chinese Physics C, 2012, 36(8): 727-732. doi: 10.1088/1674-1137/36/8/008
CHEN Li-Zhu, PAN Xue, CHEN Xiao-Song and WU Yuan-Fang. Critical behavior of higher cumulants of order parameter in the 3D-Ising universality class[J]. Chinese Physics C, 2012, 36(8): 727-732.  doi: 10.1088/1674-1137/36/8/008 shu
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Received: 2011-12-20
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Critical behavior of higher cumulants of order parameter in the 3D-Ising universality class

    Corresponding author: CHEN Li-Zhu,
    Corresponding author: PAN Xue,

Abstract: 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.

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