Diffusion matrix associated with the diffusion processes of multiple conserved charges in a hot and dense hadronic matter
arXiv:2109.01543 · doi:10.1103/PhysRevD.106.014013
Abstract
Bulk matter produced in heavy ion collisions has multiple conserved quantum numbers like baryon number, strangeness and electric charge. The diffusion process of these charges can be described by a diffusion matrix describing the interdependence of diffusion of different charges. The diffusion coefficient matrix is estimated here from the Boltzmann kinetic theory for the hadronic phase within relaxation time approximation. In the derivation for the same, we impose the Landau-Lifshitz conditions of fit. This leads to e.g. the diagonal diffusion coefficients to be manifestly positive definite. The explicit calculations are performed within the ambit of hadron resonance gas model with and without excluded volume corrections. It is seen that the off-diagonal components can be significant to affect the charge diffusion in a fluid with multiple conserved charges. The excluded volume correction effects is seen to be not significant in the estimation of the elements of the diffusion matrix.
arXiv comment16 pages, 6 figures, Comments are very much welcome
References in corpus (130)
- Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Microscopic Models for Ultrarelativistic Heavy Ion Collisions
- The order of the quantum chromodynamics transition predicted by the standard model of particle physics
- Relativistic Hadron-Hadron Collisions in the Ultra-Relativistic Quantum Molecular Dynamics Model (UrQMD)
- Collective flow and viscosity in relativistic heavy-ion collisions
- Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
- Hadron production in central nucleus-nucleus collisions at chemical freeze-out
- Hydrodynamic Modeling of Heavy-Ion Collisions
- Bulk Properties of the Medium Produced in Relativistic Heavy-Ion Collisions from the Beam Energy Scan Program
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Hadron production in Au-Au collisions at RHIC
- Thermal Equilibration and Expansion in Nucleus-Nucleus Collision at the AGS
- Transport-theoretical Description of Nuclear Reactions
- Chemical Equilibration in Pb+Pb Collisions at the SPS
- Thermal hadron production in relativistic nuclear collisions: the hadron mass spectrum, the horn, and the QCD phase transition
- Fluctuation Probes of Quark Deconfinement
- Charged Particle Ratio Fluctuation as a Signal for QGP
- The importance of the bulk viscosity of QCD in ultrarelativistic heavy-ion collisions
- Features of particle multiplicities and strangeness production in central heavy ion collisions between 1.7A and 158A GeV/c
- Chemical and Thermal Freeze-Out Parameters from 1 to 200 A.GeV
- From Quantum Field Theory to Hydrodynamics: Transport Coefficients and Effective Kinetic Theory
- Universal properties of bulk viscosity near the QCD phase transition
- Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions
- Fluctuations and Correlations of net baryon number, electric charge, and strangeness: A comparison of lattice QCD results with the hadron resonance gas model
- Properties of hot and dense matter from relativistic heavy ion collisions
- Event-by-Event Simulation of the Three-Dimensional Hydrodynamic Evolution from Flux Tube Initial Conditions in Ultrarelativistic Heavy Ion Collisions
- Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD
- Thermodynamics at Non-Zero Baryon Number Density: A Comparison of Lattice and Hadron Resonance Gas Model Calculations
- Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
- Hadronic fluctuations at the QCD phase transition
- First-order relativistic hydrodynamics is stable
- Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
- Canonical partition function and finite density phase transition in lattice QCD
- Transport Coefficients of Hadronic Matter near
- Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
- Electrical conductivity of the quark-gluon plasma across the deconfinement transition
- Relativistic hydrodynamics for heavy-ion collisions
- Shear-Viscosity to Entropy Density Ratio of a Relativistic Hadron Gas
- Nonlinear causality of general first-order relativistic viscous hydrodynamics
- Electrical conductivity and charge diffusion in thermal QCD from the lattice
- The electrical conductivity and soft photon emissivity of the QCD plasma
- Bulk Viscosity Effects in Event-by-Event Relativistic Hydrodynamics
- Numerical magneto-hydrodynamics for relativistic nuclear collisions
- Excluded volume hadron gas model for particle number ratios in A+A collisions
- Fluctuations of particle ratios and the abundance of hadronic resonances
- Shear Viscosity of a strongly interacting system: Green-Kubo vs. Chapman-Enskog and Relaxation Time Approximation
- Transport coefficients from the Nambu-Jona-Lasinio model for
- Transport coefficients from the Nambu-Jona-Lasinio model for
- Relativistic third-order dissipative fluid dynamics from kinetic theory
- Volume fluctuations and higher order cumulants of the net baryon number
- Interacting hadron resonance gas meets lattice QCD
- Topics on Hydrodynamic Model of Nucleus-Nucleus Collisions
- Synchrotron radiation by fast fermions in heavy-ion collisions
- Electrical Conductivity of Hot QCD Matter
- Bulk viscosity in quasi particle models
- Relativistic dissipative hydrodynamics from kinetic theory with relaxation time approximation
- Kubo formulas for relativistic fluids in strong magnetic fields
- Conserved number fluctuations in a hadron resonance gas model
- Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
- Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction
- When can long-range charge fluctuations serve as a QGP signal?
- STAR experiment results from the beam energy scan program at RHIC
- Centrality Dependence of Thermal Parameters Deduced from Hadron Multiplicities in Au + Au Collisions at sqrt{s_{NN}} = 130 GeV
- Electric conductivity of the quark-gluon plasma investigated using a perturbative QCD based parton cascade
- Transport coefficients near chiral phase transition
- Matching Excluded Volume Hadron Resonance Gas Models and Perturbative QCD to Lattice Calculations
- Hadron Mass Spectrum and the Shear Viscosity to Entropy Density Ratio of Hot Hadronic Matter
- Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity
- Effects of bulk viscosity and hadronic rescattering in heavy ion collisions at RHIC and LHC
- An Experimental Exploration of the QCD Phase Diagram: The Search for the Critical Point and the Onset of De-confinement
- Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation
- Electric Conductivity from the solution of the Relativistic Boltzmann Equation
- Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
- Shear Viscosity Coefficient from Microscopic Models
- Photon decay in strong magnetic field in heavy-ion collisions
- Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
- Towards flavour diffusion coefficient and electrical conductivity without ultraviolet contamination
- Viscosity in the excluded volume hadron gas model
- Proton number fluctuation as a signal of the QCD critical end-point
- Multiplicity Fluctuations in Hadron-Resonance Gas
- Dissipative properties of hot and dense hadronic matter in excluded volume hadron resonance gas model
- Diffusion of conserved charges in relativistic heavy ion collisions
- Impact of resonance regeneration and decay on the net-proton fluctuations in a hadron resonance gas
- Calculation of shear viscosity using Green-Kubo relations within a parton cascade
- Shear viscosity of a hadron gas and influence of resonance lifetimes on relaxation time
- Viscosity coefficients for hadron and quark-gluon phases
- Quasiparticle Theory of Transport Coefficients for Hadronic Matter at Finite Temperature and Baryon Density
- Effects of magnetic field on the plasma evolution in relativistic heavy-ion collisions
- Description of Hot and Dense Hadron Gas Properties in a New Excluded-Volume model
- Electric and magnetic response of hot QCD matter
- Shear Viscosities from the Chapman-Enskog and the Relaxation Time Approaches
- Fluctuations and correlations of conserved charges in an excluded volume hadron resonance gas model
- Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography
- Bulk and shear viscosities of hot and dense hadron gas
- Hadron-Resonance Gas at Freeze-out: Reminder on Importance of Repulsive Interactions
- Estimating transport coefficients in hot and dense quark matter
- Diffusion processes involving multiple conserved charges: a first study from kinetic theory and implications to the fluid-dynamical modeling of heavy ion collisions
- 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 hadron gas in a magnetic field: a relaxation time approach
- Bulk viscosity and the phase transition of the linear sigma model
- Transport coefficients in Polyakov quark meson coupling model: a relaxation time approximation
- Shear viscosity due to the Landau damping from quark-pion interaction
- A real-time thermal field theoretical analysis of Kubo-type shear viscosity : Numerical understanding with simple examples
- Nonequilibrium time evolution of higher order cumulants of conserved charges and event-by-event analysis
- Dissipative Hydrodynamic Effects on Baryon Stopping
- Shear viscosity of pion gas due to and interactions
- The RHIC Beam Energy Scan Program: Results from the PHENIX Experiment
- The nucleon thermal width due to pion-baryon loops and its contribution in Shear viscosity
- Shear viscosity and electric conductivity of a hot and dense QGP with a chiral phase transition
- Diffusion coefficient matrix of the strongly interacting quark-gluon plasma
- Magnetic shift of the chemical freezeout and electric charge fluctuations
- Thermoelectric effect and Seebeck coefficient for hot and dense hadronic matter
- Bulk and Shear Viscosity in Hagedorn Fluid
- Exploring the influence of bulk viscosity of QCD on dilepton tomography
- Determining the Diffusivity for Light Quarks from Experiment
- Transport properties of hadronic matter in magnetic field
- Bulk Viscosity of Interacting Hadrons
- Shear Viscosity in a Perturbative Quark-Gluon-Plasma
- Electric Conductivity of a hot hadron gas from a kinetic approach
- Extraction of shear viscosity in stationary states of relativistic particle systems
- Comparison of Viscosities from the Chapman-Enskog and Relaxation Time Methods
- Hadronic transport coefficients from the linear sigma model at finite temperature
- Effects of hadronic repulsive interactions on the fluctuations of conserved charges
- Chemical freezeout in relativistic A+A collisions: is it close to the QGP?
- Transport coefficients of hadronic matter in a van der Walls hadron resonance gas model
- Remarks concerning bulk viscosity of hadron matter in relaxation time ansatz
- Effect of inverse magnetic catalysis on conserved charge fluctuations in hadron resonance gas model
- Study of freeze-out dynamics of strange hadrons
- Microscopic study of strange hadron productions at the LHC with=2.76 TeV