Cumulants in the 3-dimensional Ising, <I>O</I>(2) and <I>O</I>(4) spin models

PAN Xue; CHEN Li-Zhu; CHEN Xiao-Song; WU Yuan-Fang

doi:10.1088/1674-1137/37/12/124103

Chinese Physics C> 2013, Vol. 37> Issue(12) : 124103 DOI: 10.1088/1674-1137/37/12/124103

Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models

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Abstract：
Based on the universal properties of a critical point in different systems and that the QCD phase transitions fall into the same universality classes as the 3-dimensional Ising, O(2) or O(4) spin models, the critical behavior of cumulants and higher cumulant ratios of the order parameter from the three kinds of spin models is studied. We found that all higher cumulant ratios change dramatically the sign near the critical temperature. The qualitative critical behavior of the same order cumulant ratio is consistent in these three models.

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PAN Xue, CHEN Li-Zhu, CHEN Xiao-Song and WU Yuan-Fang. Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models[J]. Chinese Physics C, 2013, 37(12): 124103. doi: 10.1088/1674-1137/37/12/124103

PAN Xue, CHEN Li-Zhu, CHEN Xiao-Song and WU Yuan-Fang. Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models[J]. Chinese Physics C, 2013, 37(12): 124103. doi: 10.1088/1674-1137/37/12/124103 shu

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Received: 2013-03-05
Revised: 2013-06-27

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models

Corresponding author: PAN Xue,

Corresponding author: CHEN Li-Zhu,

Received Date: 2013-03-05

Accepted Date: 2013-06-27

Available Online: 2013-12-05

Abstract: Based on the universal properties of a critical point in different systems and that the QCD phase transitions fall into the same universality classes as the 3-dimensional Ising, O(2) or O(4) spin models, the critical behavior of cumulants and higher cumulant ratios of the order parameter from the three kinds of spin models is studied. We found that all higher cumulant ratios change dramatically the sign near the critical temperature. The qualitative critical behavior of the same order cumulant ratio is consistent in these three models.

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Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models

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通讯作者: 陈斌, bchen63@163.com

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Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models

Corresponding author: PAN Xue,

Corresponding author: CHEN Li-Zhu,

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