Xue Pan, Lizhu Chen, X. S. Chen, Yuanfang Wu
Considering different universality classes of the QCD phase transitions, we perform the Monte Carlo simulations of the 3-dimensional $O(1, 2, 4)$ models at vanishing and non-vanishing external field, respectively. Interesting higher cumulants of the order parameter and energy fluctuations from O(1) (Ising) spin model, and the cumulants of the energy fluctuations from O(2) and O(4) spin models are presented. The critical features of the cumulants are discussed. They are instructive to the corresponding cumulants of the net baryon number fluctuations in the QCD phase transitions.
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http://arxiv.org/abs/1211.2542
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