Higher order conserved charge fluctuations inside the mixed phase

Abstract

General formulas are presented for higher order cumulants of the conserved charge statistical fluctuations inside the mixed phase. As a particular example the van der Waals model in the grand canonical ensemble is used. The higher order measures of the conserved charge fluctuations up to the hyperkurtosis are calculated in a vicinity of the critical point (CP). The analysis includes both the mixed phase region and the pure phases on the phase diagram. It is shown that even-order fluctuation measures, e.g. scaled variance, kurtosis, and hyperkurtosis, have only positive values in the mixed phase, and go to infinity at the CP. For odd-order measures, such as skewness and hyperskewness, the regions of positive and negative values are found near the left and right binodals, respectively. The obtained results are discussed in a context of the event-by-event fluctuation measurements in heavy-ion collisions.

10 pages, 3 figures

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Cited by in corpus (6)

• Molecular dynamics analysis of particle number fluctuations in the mixed phase of a first-order phase transition
• Enhanced pion-to-proton ratio at the onset of the QCD phase transition
• Phase diagram of interacting pion matter and isospin charge fluctuations
• Net-proton number cumulant ratios as function of beam energy from an expanding nonequilibrium chiral fluid
• Critical point influenced by Bose-Einstein condensation
• Fluctuations in heavy ion collisions and global conservation effects