Dynamics of the conserved net-baryon density near QCD critical point within inhomogeneous quark-gluon plasma profile

Abstract

This paper investigates the dynamics of the net-baryon multiplicity fluctuations near the QCD critical point, within the inhomogeneous temperature and baryon chemical potential profile of quark-gluon plasma from the hydrodynamics. The Langevin dynamics of conserved net-baryon density are solved numerically within the temperature and chemical potential profile borrowing from hydrodynamic simulation. It is found that the local systems at different rapidities reach the critical point at different proper times, owing to the inhomogeneous temperature and chemical potential. As a result, it is observed the pronounced enhancement of the magnitude for the net-baryon multiplicity fluctuations with large rapidity acceptance at the freeze-out surface, which is the consequence of the combined effect of critical slowing down and inhomogeneous profile.

version accepted by Phys. Rev. C

References in corpus (11)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Dynamic universality class of the QCD critical point
• QCD at finite temperature and density within the fRG approach: An overview
• The QCD phase diagram and Beam Energy Scan physics: a theory overview
• Net-baryon number variance and kurtosis within nonequilibrium chiral fluid dynamics
• Rapidity scan with multistage hydrodynamic and statistical thermal models
• Critical net-baryon fluctuations in an expanding system
• Dynamical critical fluctuations near the QCD critical point with hydrodynamic cooling rate
• N-particle irreducible actions for stochastic fluids
• Generalized nonlinear Langevin equation from quantum nonlinear projection operator