Universal scaling of conserved charge in the stochastic diffusion dynamics

Abstract

In this paper, we explore the Kibble-Zurek scaling of the conserved charge, using the stachastic diffusion dynamics. After determining the characteristic scales ${\tau }_{kz}$ and $l_{kz}$ and properly rescaling the traditional correlation function and cumulant, we construct universal functions for both the two-point correlation function $C(y_1-y_2;\tau )$ and second-order cumulant $K(\Delta y,\tau )$ of the conserved charge in the critical regime, which are insensitive to the initial temperature and a parameter in the mapping between 3D Ising model and the hot QCD system near the critical point.

References in corpus (42)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Signatures of the Tricritical Point in QCD
• Chiral effective model with the Polyakov loop
• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Non-Gaussian fluctuations near the QCD critical point
• Bulk Properties of the Medium Produced in Relativistic Heavy-Ion Collisions from the Beam Energy Scan Program
• On the sign of kurtosis near the QCD critical point
• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• Slowing Out of Equilibrium Near the QCD Critical Point
• Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC
• Third moments of conserved charges as probes of QCD phase structure
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• 3D Ising Model:The Scaling Equation of State
• Hydro+: hydrodynamics with parametric slowing down and fluctuations near the critical point
• Phase diagram and critical endpoint for strongly-interacting quarks
• Dynamic universality class of the QCD critical point
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Hydrodynamical evolution near the QCD critical end point
• Real time evolution of non-Gaussian cumulants in the QCD critical regime
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Precise determination of critical exponents and equation of state by field theory methods
• Nonequilibrium chiral fluid dynamics including dissipation and noise
• Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction
• STAR experiment results from the beam energy scan program at RHIC
• Sigma and hydrodynamic modes along the critical line
• Scalar density fluctuation at critical end point in NJL model
• Acceptance dependence of fluctuation measures near the QCD critical point
• Hydrodynamics Near a Chiral Critical Point
• Space-time renormalization in phase transition dynamics
• Universal off-equilibrium scaling of critical cumulants in the QCD phase diagram
• Heavy flavor puzzle at LHC: a serendipitous interplay of jet suppression and fragmentation
• Review of Recent Results from the RHIC Beam Energy Scan
• Evolution of fluctuations near QCD critical point
• Higher Moments of Net-Particle Multiplicity Distributions
• Correlating the skewness and kurtosis of baryon number distributions
• Dynamical evolution of critical fluctuations and its observation in heavy ion collisions
• Locating the QCD critical end point through the peaked baryon number susceptibilities along the freeze-out line
• Universality in the dynamics of second-order phase transitions
• Dynamical fluctuations in critical regime and across the 1st order phase transition
• Soft Modes at the Critical End Point in the Chiral Effective Models

Cited by in corpus (5)

• Dynamical exploring the QCD matter at finite temperatures and densities-a short review
• Dynamical critical fluctuations near the QCD critical point with hydrodynamic cooling rate
• Kibble-Zurek Scaling in a Holographic p-wave Superconductor
• Examination of background effects on light-nuclei yield ratio in relativistic heavy-ion collisions
• Dynamics of the conserved net-baryon density near QCD critical point within inhomogeneous quark-gluon plasma profile