Realtime evolution of nonGaussian cumulants in the QCD critical regime
Abstract
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 nonGaussian skewness and kurtosis cumulants. UBy utilizing a simple model of the spacetime evolution of a heavyion 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 freezeout curves and of the beamenergy dependence of the net baryon chemical potential to explore the implications of our model study for the criticalpoint search in heavyion collisions.
 Publication:

Physical Review C
 Pub Date:
 September 2015
 DOI:
 10.1103/PhysRevC.92.034912
 arXiv:
 arXiv:1506.00645
 Bibcode:
 2015PhRvC..92c4912M
 Keywords:

 25.75.q;
 Relativistic heavyion collisions;
 High Energy Physics  Phenomenology;
 Nuclear Experiment;
 Nuclear Theory
 EPrint:
 16 pages, 9 figures, accepted version in Phys.Rev. C