Centrality dependence of electrical and Hall conductivity at RHIC and LHC energies for a conformal system

In this work, we study electrical conductivity and Hall conductivity in the presence of electromagnetic field usingRelativistic BoltzmannTransportEquationwith Relaxation TimeApproximation. We evaluate these transport coefficients for a strongly interacting system consisting of nearly massless particles which is similar to Quark-Gluon Plasma and is likely to be formed in heavy-ion collision experiments. We explicitly include the effects of magnetic field in the calculation of relaxation time. The values of magnetic field are obtained for all the centrality classes of Au + Au collisions at root s(NN) = 200 GeV and Pb + Pb collisions at root s(NN) = 2.76 TeV. We consider the three lightest quark flavors and their corresponding antiparticles in this study. We estimate the temperature dependence of the electrical conductivity and Hall conductivity for different strengths of magnetic field. We observe a significant dependence of temperature on electrical and Hall conductivity in the presence of magnetic field.

Automated summary

This study examines the influence of electromagnetic fields on electrical and Hall conductivity in a strongly interacting system resembling Quark-Gluon Plasma. The temperature dependence of these transport coefficients is estimated for different magnetic field strengths, revealing a significant impact of temperature on electrical and Hall conductivity in the presence of magnetic field.