Evolution of Charge Fluctuations and Correlations in the Hydrodynamic Stage of Heavy Ion Collisions

Abstract

Charge fluctuations for a baryon-neutral quark-gluon plasma have been calculated in lattice gauge theory. These fluctuations provide a well-posed rigorous representation of the quark chemistry of the vacuum for temperatures above T_c >~ 155 MeV. Due to the finite lifetime and spatial extent of the fireball created in relativistic heavy ion collisions, charge-charge correlations can only equilibrate for small volumes due to the finite time required to transport charge. This constraint leads to charge correlations at finite relative position that evolve with time. The source and evolution of such correlations is determined by the evolution of the charge fluctuation and the diffusion constant for light quarks. Here, calculations are presented for the evolution of such correlations superimposed onto hydrodynamic simulations. Results are similar to preliminary measurements from STAR, but significant discrepancies remain.

VERSION 2: 34 pages, 9 figures (corrections, elucidations added)

References in corpus (10)

• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Non-thermal p/pi ratio at LHC as a consequence of hadronic final state interactions
• Role of quantum fluctuations in a system with strong fields: Onset of hydrodynamical flow
• Uniform description of bulk observables in the hydrokinetic model of A+A collisions at RHIC and LHC
• Coupling Relativistic Viscous Hydrodynamics to Boltzmann Descriptions
• Influence of the hadronic phase on observables in ultrarelativistic heavy ion collisions
• Causal Baryon Diffusion and Colored Noise
• Causal Electric Charge Diffusion and Balance Functions in Relativistic Heavy Ion Collisions
• Relating Measurable Correlations in Heavy Ion Collisions to Bulk Properties of Equilibrated QCD Matter
• Consistent Implementation of Finite-Range Terms into Hydrodynamics

Cited by in corpus (9)

• Transits of the QCD Critical Point
• Evolving Charge Correlations in a Hybrid Model with both Hydrodynamics and Hadronic Boltzmann Descriptions
• Determining the Diffusivity for Light Quarks from Experiment
• Charge Balance Functions for Heavy-Ion Collisions at LHC Energies
• Stochastic hydrodynamics and hydro-kinetics: Similarities and differences
• Charge Conservation and Higher Moments of Charge Fluctuations
• Calculating n-Point Charge Correlations in Evolving Systems
• Using Baryonic Charge Balance Functions to Resolve Questions about the Baryo-Chemistry of the QGP
• The Interplay of Femtoscopic and Charge-Balance Correlations