We simulate the 3D O(1) (Ising) and O(4) spin models by the Monte Carlo method. Interesting high-order cumulants from the 3D Ising and O(4) universality classes are presented and discussed. They all show the non-monotonic or sign change behavior. The critical behavior is instructive to that of... Show moreWe simulate the 3D O(1) (Ising) and O(4) spin models by the Monte Carlo method. Interesting high-order cumulants from the 3D Ising and O(4) universality classes are presented and discussed. They all show the non-monotonic or sign change behavior. The critical behavior is instructive to that of the high-order cumulants of the net baryon number in the QCD phase transitions. Maybe it’s difficult to distinguish the universality classes by the high-order cumulants in the heavy ion collisions.
Sponsorship: IIT College of Science, High Energy Physics Division of Argonne National Laboratory Show less