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Title: Real time evolution of non-Gaussian cumulants in the QCD critical regime

Journal Article · · Physical Review C, Nuclear Physics
 [1];  [1];  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
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In this study, we derive a coupled set of equations that describe the nonequilibrium evolution of cumulants of critical fluctuations for spacetime trajectories on the crossover side of the QCD phase diagram. In particular, novel expressions are obtained for the nonequilibrium evolution of non-Gaussian skewness and kurtosis cumulants. UBy utilizing a simple model of the spacetime evolution of a heavy-ion collision, we demonstrate that, depending on the relaxation rate of critical fluctuations, skewness and kurtosis can differ significantly in magnitude as well as in sign from equilibrium expectations. Memory effects are important and shown to persist even for trajectories that skirt the edge of the critical regime. We use phenomenologically motivated parametrizations of freeze-out curves and of the beam-energy dependence of the net baryon chemical potential to explore the implications of our model study for the critical-point search in heavy-ion collisions.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC00112704; SC0012704
OSTI ID:
1247970
Alternate ID(s):
OSTI ID: 1227515
Report Number(s):
BNL-112015-2016-JA; PRVCAN; R&D Project: 08870; KB0301020
Journal Information:
Physical Review C, Nuclear Physics, Vol. 92, Issue 3; ISSN 0556-2813
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 104 works
Citation information provided by
Web of Science

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Cited By (28)

Search for the QCD critical point with fluctuations of conserved quantities in relativistic heavy-ion collisions at RHIC: an overview journal July 2017
The phase structure of QCD journal August 2017
Chiral criticality and glue dynamics journal June 2019
Behavior of universal critical parameters in the QCD phase diagram journal January 2017
Non-Gaussian particle number fluctuations in vicinity of the critical point for van der Waals equation of state journal December 2015
Curvature of the freeze-out line in heavy ion collisions journal January 2016
Correlating the skewness and kurtosis of baryon number distributions journal May 2016
Volume dependence of baryon number cumulants and their ratios journal March 2017
Multiplicity fluctuations near the QCD critical point journal August 2017
Phenomena at the QCD phase transition in nonequilibrium chiral fluid dynamics (N $\chi$ FD) journal August 2016
Do nuclear collisions create a locally equilibrated quark–gluon plasma? journal January 2017
Impact of resonance decays on critical point signals in net-proton fluctuations journal April 2017
Correlated stopping, proton clusters and higher order proton cumulants journal May 2017
Baryon number fluctuations and the phase structure in the PNJL model journal February 2018
The kurtosis of net baryon number fluctuations from a realistic Polyakov–Nambu–Jona-Lasinio model along the experimental freeze-out line journal March 2019
Role of new resonance states on fluctuations and correlations of conserved charges in hadron resonance gas model journal October 2018
Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential text January 2017
Non-Gaussian particle number fluctuations in vicinity of the critical point for van der Waals equation of state text January 2015
The curvature of the freeze-out line in heavy ion collisions text January 2015
Correlated fluctuations near the QCD critical point text January 2015
Acceptance dependence of fluctuation measures near the QCD critical point text January 2015
Dynamical net-proton fluctuations near a QCD critical point text January 2016
Phenomenological Consequences of Enhanced Bulk Viscosity Near the QCD Critical Point text January 2016
Do nuclear collisions create a locally equilibrated quark-gluon plasma? text January 2016
Dynamical evolution of critical fluctuations and its observation in heavy ion collisions text January 2017
Homogeneous isotropization and equilibration of a strongly coupled plasma with a critical point text January 2017
Hydro+: hydrodynamics with parametric slowing down and fluctuations near the critical point text January 2017
The kurtosis of net baryon number fluctuations from a realistic Polyakov--Nambu--Jona-Lasinio model along the experimental freeze-out line text January 2018

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