Open AccessInvestigating the similarity between the behavior of the order parameter derivatives and that of cumulants of the probability density for the thermal deconfining phase transition at zero chemical potential
Author(s) -
R. Djida,
A. Ait El Djoudi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1766/1/012033
Subject(s) - cumulant , kurtosis , skewness , statistical physics , phase transition , similarity (geometry) , probability distribution , distribution (mathematics) , higher order statistics , statistics , physics , zero (linguistics) , thermodynamics , mathematics , mathematical analysis , computer science , signal processing , telecommunications , radar , artificial intelligence , image (mathematics) , linguistics , philosophy
In this work, we study the temperature driven deconfining phase transition, at zero chemical potential, in a statistical way, by means of the probability distribution of finding the mixed hadronic gas-QGP phase system in a finite volume, in a specific state defined by a parameter lying between 0 and 1, whose mean value represents the order parameter of the studied system. We calculate mean values of other characteristic quantities, called response functions, which are mainly the second, third and fourth cumulants of the probability distribution representing the variance, skewness and kurtosis respectively, as well as the three first thermal derivatives of the order parameter. Integral expressions are obtained for all these quantities, and their evaluation is done numerically. The such obtained results are adequately translated into graphs, illustrating the variations of the response functions with temperature, for various volumes. By examining their behavior, we notice a striking similarity between the behavior of the order parameter derivative and that of the cumulant, at the same order. We investigate this similarity and try to deeply analyze it, to obtain some important features characterizing the occurring deconfining phase transition.