Real time evolution of non-Gaussian cumulants in the QCD critical regime
Abstract
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.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1247970
- Alternate Identifier(s):
- OSTI ID: 1227515
- Report Number(s):
- BNL-112015-2016-JA
Journal ID: ISSN 0556-2813; PRVCAN; R&D Project: 08870; KB0301020
- Grant/Contract Number:
- SC00112704; SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 3; Journal ID: ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Mukherjee, Swagato, Venugopalan, Raju, and Yin, Yi. Real time evolution of non-Gaussian cumulants in the QCD critical regime. United States: N. p., 2015.
Web. doi:10.1103/PhysRevC.92.034912.
Mukherjee, Swagato, Venugopalan, Raju, & Yin, Yi. Real time evolution of non-Gaussian cumulants in the QCD critical regime. United States. https://doi.org/10.1103/PhysRevC.92.034912
Mukherjee, Swagato, Venugopalan, Raju, and Yin, Yi. Wed .
"Real time evolution of non-Gaussian cumulants in the QCD critical regime". United States. https://doi.org/10.1103/PhysRevC.92.034912. https://www.osti.gov/servlets/purl/1247970.
@article{osti_1247970,
title = {Real time evolution of non-Gaussian cumulants in the QCD critical regime},
author = {Mukherjee, Swagato and Venugopalan, Raju and Yin, Yi},
abstractNote = {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.},
doi = {10.1103/PhysRevC.92.034912},
journal = {Physical Review C, Nuclear Physics},
number = 3,
volume = 92,
place = {United States},
year = {Wed Sep 23 00:00:00 EDT 2015},
month = {Wed Sep 23 00:00:00 EDT 2015}
}
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