Bulk and shear viscosities of hot and dense hadron gas

Abstract

We estimate bulk and shear viscosity at finite temperature and baryon densities of hadronic matter within hadron resonance gas model. For bulk viscosity we use low energy theorems of QCD for the energy momentum tensor correlators. For shear viscosity coefficient, we estimate the same using molecular kinetic theory to relate the shear viscosity coefficient to average momentum of the hadrons in the hot and dense hadron gas. The bulk viscosity to entropy ratio increases with chemical potential and is related to the reduction of velocity of sound at nonzero chemical potential. The shear viscosity to entropy ratio on the other hand, shows a nontrivial behavior with the ratio decreasing with chemical potential for small temperatures but increasing with chemical potential at high temperatures and is related to decrease of entropy density with chemical potential at high temperature due to finite volume of the hadrons.

arXiv comment12 pages with 14 figures

References in corpus (65)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Collective flow and viscosity in relativistic heavy-ion collisions
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• The QCD equation of state with dynamical quarks
• Comparison of Chemical Freeze-Out Criteria in Heavy-Ion Collisions
• Thermal hadron production in relativistic nuclear collisions: the hadron mass spectrum, the horn, and the QCD phase transition
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• A calculation of the bulk viscosity in SU(3) gluodynamics
• Thermal and Hadrochemical Equilibration in Nucleus-Nucleus Collisions at the SPS
• Features of particle multiplicities and strangeness production in central heavy ion collisions between 1.7A and 158A GeV/c
• Universal properties of bulk viscosity near the QCD phase transition
• QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu^2
• Perfect Fluidity of the Quark Gluon Plasma Core as Seen through its Dissipative Hadronic Corona
• Transport Coefficients of Hadronic Matter near $T_c$
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Bulk and shear viscosities of matter created in relativistic heavy-ion collisions
• Shear-Viscosity to Entropy Density Ratio of a Relativistic Hadron Gas
• Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
• Bulk Viscosity Effects in Event-by-Event Relativistic Hydrodynamics
• Shear Viscosity of a strongly interacting system: Green-Kubo vs. Chapman-Enskog and Relaxation Time Approximation
• Effects of Bulk Viscosity at Freezeout
• Bulk viscosity, particle spectra and flow in heavy-ion collisions
• Interacting hadron resonance gas meets lattice QCD
• Spectral sum rules for the quark-gluon plasma
• Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions
• The analysis of particle multiplicities in Pb+Pb collisions at 158A GeV/c within hadron gas models
• Effect of bulk viscosity on Elliptic Flow near QCD phase transition
• Bulk viscosity in quasi particle models
• Shear viscous effects on the primordial power spectrum from warm inflation
• Bulk viscosity-driven suppression of shear viscosity effects on the flow harmonics at RHIC
• A Family of Equations of State Based on Lattice QCD: Impact on Flow in Ultrarelativistic Heavy-Ion Collisions
• Bulk viscosity and spectral functions in QCD
• Asymptotics of thermal spectral functions
• Transport coefficients near chiral phase transition
• Hadron Mass Spectrum and the Shear Viscosity to Entropy Density Ratio of Hot Hadronic Matter
• Bulk Viscosity and Cavitation in Boost-Invariant Hydrodynamic Expansion
• Shear viscosity of a hadronic gas mixture
• Hadron Mass Spectrum from Lattice QCD
• Bulk Viscosity driven clusterization of quark-gluon plasma and early freeze-out in relativistic heavy-ion collisions
• Viscosity in the excluded volume hadron gas model
• Shear and bulk viscosities of strongly-interacting 'infinite' parton-hadron matter within the parton-hadron-string transport approach
• QCD Viscosity to Entropy Density Ratio in the Hadronic Phase
• Description of Hot and Dense Hadron Gas Properties in a New Excluded-Volume model
• Shear Viscosities from the Chapman-Enskog and the Relaxation Time Approaches
• Bulk viscosity and the conformal anomaly in the pion gas
• Fast Equilibration of Hadrons in an Expanding Fireball
• Bulk viscosity and the phase transition of the linear sigma model
• Simple Solution to the Strangeness Horn Description Puzzle
• Low-Energy Theorems for Gluodynamics at Finite Temperature
• Stabilizing Hadron Resonance Gas Models against Future Discoveries
• The nucleon thermal width due to pion-baryon loops and its contribution in Shear viscosity
• Chiral condensate in hadronic matter
• Thermal photons in QGP and non-ideal effects
• Shear viscosity, cavitation and hydrodynamics at LHC
• The Hagedorn temperature Revisited
• Low-Energy Theorems for QCD at Finite Temperature and Chemical Potential
• Cavitation and thermal dilepton production in QGP
• $\eta /s$ and Phase Transitions
• Low-energy theorems of QCD and bulk viscosity at finite temperature and baryon density in a magnetic field
• Four-quark condensates and chiral symmetry restoration in a resonance gas model
• Bulk viscosity of the massive Gross-Neveu model
• Color superconductivity with determinant interaction in strange quark matter
• Longitudinal scaling of observables in heavy-ion collision models
• Calculation of bulk viscosity of QCD at zero temperature and finite chemical potential

Cited by in corpus (48)

• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Dissipative properties of hot and dense hadronic matter in excluded volume hadron resonance gas model
• Far-from-equilibrium search for the QCD critical point
• 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
• Electrical conductivity and Hall conductivity of hot and dense quark gluon plasma in a magnetic field: a quasi particle approach
• Shear and Bulk Viscosities of Quark Matter from Quark-Meson Fluctuations in the Nambu--Jona-Lasinio model
• Transport coefficients of the quark-gluon plasma at the critical point and across the first-order line
• Quartic cumulant of baryon number in the presence of QCD critical point
• Calculations of Shear, Bulk viscosities and Electrical conductivity in Polyakov-Quark-Meson model
• Magneto-Seebeck coefficient and Nernst coefficient of hot and dense hadron gas
• Thermoelectric effect and Seebeck coefficient for hot and dense hadronic matter
• Critical lensing and kurtosis near a critical point in the QCD phase diagram in and out-of-equilibrium
• Medium modification of hadron masses and the thermodynamics of hadron resonance gas model
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Baseline predictions of elliptic flow and fluctuations at the RHIC Beam Energy Scan using response coefficients
• Finite size effect of hadronic matter on its transport coefficients
• Seebeck effect in a thermal QCD medium in the presence of strong magnetic field
• Building a testable shear viscosity across the QCD phase diagram
• Temperature Effect on Shear and Bulk Viscosities of QCD Matter
• In-medium viscous coefficients of a hot hadronic gas mixture
• Shear viscosity of pionic and nucleonic components from their different possible mesonic and baryonic thermal fluctuations
• Effects of hadronic repulsive interactions on the fluctuations of conserved charges
• Bulk viscosity for pion and nucleon thermal fluctuation in the hadron resonance gas model
• A comparative study on two different expressions of Bulk viscosity in the PNJL model
• Effect of Coriolis Force on Electrical Conductivity Tensor for Rotating Hadron Resonance Gas
• Diffusion matrix associated with the diffusion processes of multiple conserved charges in a hot and dense hadronic matter
• Nuclear and Quark Matter at High Temperature
• Estimating transport coefficients of interacting pion gas with K-matrix cross sections
• Viscosity calculations from Hadron Resonance Gas model: Finite size effect
• Hadron resonance gas EoS and the fluidity of matter produced in HIC
• Extracting shear viscosity of the Quark Gluon Plasma in the presence of bulk viscosity
• Contribution of Kaon component in viscosity and conductivity of hadronic medium
• Flow and vorticity with varying chemical potential in relativistic heavy ion collisions
• Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model
• Shear viscosity over entropy density ratio with extended quasi-particles
• Probing bulk viscosity in relativistic flows
• Effect of Coriolis Force on Diffusion of D Meson
• Shear viscosity from perturbative Quantum Chromodynamics to the hadron resonance gas at finite baryon, strangeness, and electric charge densities
• In-medium thermal conductivity and diffusion coefficients of a hot hadronic gas mixture
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
• Shear Viscosity and Electrical Conductivity of Rotating Nuclear Medium in Hadron Resonance Gas and Nambu-Jona Lasinio Models
• The $\eta /s$ of the LQCD-EoS complied hadron gas of different sizes approach common minimum near the crossover temperature
• Shear viscosity and electrical conductivity of rotating quark matter in Nambu--Jona-Lasinio Model
• Testing the hadronic spectrum in the strange sector
• Hydrodynamic Overview at Hot Quarks 2016
• Bose-Einstein Condensation and Dissipative Dynamics in a Relativistic Pion Gas
• Thermoelectric transport coefficients of quark matter