Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions

Abstract

Background: Quantum Chromodynamics is expected to have a phase transition in the same static universality class as the 3D Ising model and the liquid-gas phase transition. The properties of the equation of state, the transport coefficients, and especially the location of the critical point are under intense theoretical investigation. Some experiments are underway, and many more are planned, at high energy heavy ion accelerators. Purpose: Develop a model of the thermal conductivity, which diverges at the critical point, and use it to study the impact of hydrodynamic fluctuations on observables in high energy heavy ion collisions. Methods: We apply mode coupling theory, together with a previously developed model of the free energy that incorporates the critical exponents and amplitudes, to construct a model of the thermal conductivity in the vicinity of the critical point. The effect of the thermal conductivity on correlation functions in heavy ion collisions is studied in a boost invariant hydrodynamic model via fluctuations, or noise. Results: We find that the closer a thermodynamic trajectory comes to the critical point the greater is the magnitude of the fluctuations in thermodynamic variables and in the 2-particle correlation functions in momentum space. Conclusions: It may be possible to discern the existence of a critical point, its location, and thermodynamic and transport properties near to it in heavy ion collisions using the methods developed here.

arXiv comment36 pages, 8 figures. Version published in Phys.Rev.C86, 054911 (2012). It contains some minor improvements with respect to v1: further clarifications, small changes on figures and two extra references

References in corpus (32)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The chiral and deconfinement aspects of the QCD transition
• Signatures of the Tricritical Point in QCD
• The QCD transition temperature: results with physical masses in the continuum limit
• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Non-Gaussian fluctuations near the QCD critical point
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• The QCD transition temperature: results with physical masses in the continuum limit II.
• On the Phase Diagram of QCD
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• Slowing Out of Equilibrium Near the QCD Critical Point
• Chiral Phase Transition within Effective Models with Constituent Quarks
• QCD phase diagram and the critical point
• Relativistic Theory of Hydrodynamic Fluctuations with Applications to Heavy Ion Collisions
• Dynamic universality class of the QCD critical point
• Dynamics of nanojets
• Measuring Shear Viscosity Using Transverse Momentum Correlations in Relativistic Nuclear Collisions
• QCD Phase Diagram: Phase Transition, Critical Point and Fluctuations
• Phase transition dynamics for baryon-dense matter
• The Fate of the Initial State Fluctuations in Heavy Ion Collisions. II The Fluctuations and Sounds
• The electrical conductivity of a pion gas
• Proton number fluctuation as a signal of the QCD critical end-point
• The Fate of the Initial State Fluctuations in Heavy Ion Collisions. III The Second Act of Hydrodynamics
• Bootstraping the QCD Critical Point
• Baryon Fluctuations and the QCD Phase Transition
• The Fate of the Initial State Perturbations in Heavy Ion Collisions
• Equation of State and Phase Fluctuations near the Chiral Critical Point
• Thermal conductivity in dynamics of first-order phase transition
• Bulk viscosity and energy-momentum correlations in high energy hadron collisions

Cited by in corpus (62)

• Hydrodynamic Modeling of Heavy-Ion Collisions
• A kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion
• Suppression of baryon diffusion and transport in a baryon rich strongly coupled quark-gluon plasma
• Relativistic Hydrodynamic Fluctuations
• Thermally Fluctuating Second-Order Viscous Hydrodynamics and Heavy-Ion Collisions
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Hydro+ in Action: Understanding the Out-of-Equilibrium Dynamics Near a Critical Point in the QCD Phase Diagram
• Transport coefficients of a hot QCD medium and their relative significance in heavy-ion collisions
• Bulk viscosity from hydrodynamic fluctuations with relativistic hydro-kinetic theory
• Phenomenological Consequences of Enhanced Bulk Viscosity Near the QCD Critical Point
• Transits of the QCD Critical Point
• Estimating transport coefficients in hot and dense quark matter
• Electrical conductivity and Hall conductivity of hot and dense hadron gas in a magnetic field: a relaxation time approach
• Transport coefficients of hot and dense hadron gas in a magnetic field: a relaxation time approach
• Electrical conductivity and Hall conductivity of hot and dense quark gluon plasma in a magnetic field: a quasi particle approach
• Transport coefficients in Polyakov quark meson coupling model: a relaxation time approximation
• Memory effects on energy loss and diffusion of heavy quarks in the quark-gluon plasma
• Transport coefficients of the quark-gluon plasma at the critical point and across the first-order line
• Evolution of Non-Gaussian Hydrodynamic Fluctuations
• Hydrodynamics of charge fluctuations and balance functions
• Dynamical evolution of critical fluctuations and its observation in heavy ion collisions
• Causal Baryon Diffusion and Colored Noise
• Electrical and thermal conductivities of hot and dense hadron gas
• Magneto-Seebeck coefficient and Nernst coefficient of hot and dense hadron gas
• Dynamical exploring the QCD matter at finite temperatures and densities-a short review
• Thermoelectric effect and Seebeck coefficient for hot and dense hadronic matter
• Fluid dynamic propagation of initial baryon number perturbations on a Bjorken flow background
• Causal Electric Charge Diffusion and Balance Functions in Relativistic Heavy Ion Collisions
• Electrical conductivity and relaxation via colored noise in a hadronic gas
• Conductivity, diffusivity, and violation of Wiedemann-Franz Law in a hadron resonance gas with van der Waals interactions
• Seebeck effect in a thermal QCD medium in the presence of strong magnetic field
• The QCD Critical Point and Related Observables
• Thermal and thermoelectric responses of hot QCD medium in time-varying magnetic fields
• Hydrodynamic fluctuations near a critical endpoint and Hanbury Brown-Twiss interferometry
• Thermal transport in a weakly magnetized hot QCD medium
• Dynamics of critical fluctuations: Theory -- phenomenology -- heavy-ion collisions
• Calculating Fluctuations and Self-Correlations Numerically for Causal Charge Diffusion in Relativistic Heavy-Ion Collisions
• Fluctuations in Relativistic Causal Hydrodynamics
• The QCD critical point hunt: emergent new ideas and new dynamics
• Wiedemann-Franz Law For Hot QCD Matter in a Color String Percolation Scenario
• Thermoelectric response of a weakly magnetized thermal QCD medium
• Statistical and dynamical parts of the cumulants of conserved charges in relativistic heavy ion collisions
• Thermal noise in a boost-invariant matter expansion in relativistic heavy-ion collisions
• Estimating transport coefficients of interacting pion gas with K-matrix cross sections
• Dispersion and suppression of sound near QCD critical point
• Thermal conductivity of hot pionic medium due to pion self-energy for $\pi \sigma$ and $\pi \rho$ loops
• Dynamical spectral structure of density fluctuation near QCD critical point
• Thermal conductivity of the quark matter for the SU(2) light-flavor sector
• Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model
• Time-dependent Ginzburg-Landau approach to the dynamics of inhomogeneous chiral condensates in a nonlocal Nambu--Jona-Lasinio model
• The anomalous transport of axial charge: topological vs non-topological fluctuations
• Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point
• A short introduction to heavy-ion physics
• The fate of nonlinear perturbations near the QCD critical point
• Causal Baryon Diffusion and Colored Noise for Heavy Ion Collisions
• Covariant formulation of spinodal decomposition in rapidly expanding quark gluon plasma
• Correlation of density fluctuation in a magnetized QCD matter near the critical end point
• Fluctuations in ultra-relativistic heavy ion collisions
• Dynamic density correlations in a baryon rich fluid using Mori-Zwanzig-Nakjima projection operator method
• Transport coefficients of the quark-gluon plasma in ultrarelativistic limit
• Influence of a Critical Point on Hydrodynamic Fluctuations in Heavy Ion Collisions
• Thermoelectric transport coefficients of quark matter