Critical behavior of Binder ratios and ratios of higher order cumulants of conserved charges in QCD deconfinement phase transition

Statistical and dynamical fluctuations of Binder ratios in heavy ion collisions

“…Whether the critical behavior of 3D-Ising model without external filed suggested in ref. [15] correspond to the QCD critical point could be discussed. Future work on the study of projecting the QCD parameters onto the ones in the Ising model and find a path in the phase diagram that corresponds to the vanishing external field are needed.…”

“…In the calculations of the 3D-Ising model [15] with external field h = 0, Binder ratios of B 3 and B 4 as a function of temperature (T ) show a step jump from a lower platform to a higher one near the vicinity of the critical point. If we could map the parameters (T, h) of the Ising model onto the parameters (T, μ) along the freeze-out curve in QCD and find a path that corresponds to h = 0, the critical behaviors of 3D-Ising model are expected for the QCP.…”

“…It is suggested recently that the Binder-like ratios are a good identification of critical behavior in relativistic heavy ion collisions [15][16][17]. The third-and fourth-order Binder ratios are defined as…”