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An effective Finite-Size Scaling (FSS) of moment products from recent STAR measurements of the variance $sigma$, skewness $S$ and kurtosis $kappa$ of net-proton multiplicity distributions, are reported for a broad range of collision centralities in Au+Au ($sqrt{s_{NN}}= 7.7 - 200$ GeV) collisions. The products $Ssigma $ and $kappa sigma^2 $, which are directly related to the hgher-order baryon number susceptibility ratios $chi^{(3)}_B/chi^{(2)}_B$ and $chi^{(4)}_B/chi^{(2)}_B$, show scaling patterns consistent with earlier indications for a second order phase transition at a critical end point (CEP) in the plane of temperature vs. baryon chemical potential ($T,mu_B$) of the QCD phase diagram. The resulting scaling functions validate the earlier estimates of $T^{text{cep}} sim 165$ MeV and $mu_B^{text{cep}} sim 95$ MeV for the location of the CEP, and the critical exponents used to assign its 3D Ising model universality class.
Finite-size scaling is investigated in detail around the critical point in the heavy-quark region of nonzero temperature QCD. Numerical simulations are performed with large spatial volumes up to the aspect ratio $N_s/N_t=12$ at a fixed lattice spacin
A quantitatively reliable theoretical description of the dynamics of fluctuations in non-equilibrium is indispensable in the experimental search for the QCD critical point by means of ultra-relativistic heavy-ion collisions. In this work we consider
The experimental search for the QCD critical point by means of relativistic heavy-ion collisions necessitates the development of dynamical models of fluctuations. In this work we study the fluctuations of the net-baryon density near the critical poin
We study the scaling properties of Higgs-Yukawa models. Using the technique of Finite-Size Scaling, we are able to derive scaling functions that describe the observables of the model in the vicinity of a Gaussian fixed point. A feasibility study of o
Fireballs created in relativistic heavy-ion collisions at different beam energies have been argued to follow different trajectories in the QCD phase diagram in which the QCD critical point serves as a landmark. Using a (1+1)-dimensional model setting