Shear viscosity $\eta$ to electrical conductivity ${\sigma }_{el}$ ratio for an anisotropic QGP

Abstract

We study the transport properties of strongly interacting matter in the context of ultrarelativistic heavy ion collision experiments. We calculate the transport coefficients viz. shear viscosity ($\eta$) and electrical conductivity (${\sigma }_{\mathrm{el}}$) of the quark-gluon plasma phase in the presence of momentum anisotropy arising from different expansion rates of the medium in longitudinal and transverse direction. We solve the relativistic Boltzmann kinetic equation in relaxation time approximation to calculate the shear viscosity and electrical conductivity. The calculations are performed within the quasiparticle model to estimate these transport coefficients and discuss the connection between them. We also compare the electrical conductivity results calculated from the quasiparticle model with the ideal case. We compare our results with the corresponding results obtained in the different lattice as well as model calculations.

16 pages, 8 figures, v2, published in PRD

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• Electrical conductivity of Hot and Dense QCD matter at RHIC BES energies: A Color String Percolation Approach
• Thermoelectric properties of (an-)isotropic QGP in magnetic fields
• Viscous properties of hot and dense QCD matter in the presence of a magnetic field
• Response of a weakly magnetized hot QCD medium to inhomogeneous electric field
• The complex heavy-quark potential in an anisotropic quark-gluon plasma -- Statics and dynamics
• Hadron resonance gas with repulsive mean field interaction: Thermodynamics and transport properties
• Spectral functions of heavy quarkonia in a bulk-viscous quark gluon plasma
• Estimating transport coefficients of interacting pion gas with K-matrix cross sections
• Hadron resonance gas EoS and the fluidity of matter produced in HIC
• Effect of momentum anisotropy on quark matter in the quark-meson model
• Color-electric conductivity in a viscous quark-gluon plasma
• Quantum statistical fluctuation of energy and its novel pseudo-gauge dependence