Speaker
Description
Lattice QCD predicts an ordering of the ratios of baryon number fluctuations in the vicinity of critical point in the QCD phase diagram i.e, $\frac{\chi_6}{\chi_2}<\frac{\chi_5}{\chi_1}<\frac{\chi_4}{\chi_2}<\frac{\chi_3}{\chi_1}$ where $\chi_n$ is the nth order cumulant of baryon number fluctuation. Taking the analog of baryon density as order parameter in the spin model, these inequalities can be tested. We have used two different models, Ising model and three-state Pott's model for the study. Simulations are performed in 2D square lattices of different sizes using the Wolff algorithm. The cumulants of the order parameter are obtained up to sixth order in both these models near their corresponding critical temperatures. The size dependence of the peaks/dips of the higher-order cumulants appears to decrease with the increase in the order of the cumulants. The consequences of the results for the QCD case are discussed.
Session | Heavy Ions and QCD |
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