Abstract
We estimate the electrical conductivity and the Hall conductivity of hot and dense hadron gas using the relaxation time approximation of the Boltzmann transport equation in the presence of electromagnetic field. We have investigated the temperature and the baryon chemical potential dependence of these transport coefficients in presence of magnetic field. The explicit calculation is performed within the ambit of the hadron resonance gas model. We find that the electrical conductivity decreases in the presence of magnetic field. The Hall conductivity on the other hand shows a non monotonic behavior with respect to the dependence on magnetic field. We argue that for a pair plasma (particle-anti particle plasma) where $\mu_B=0$, Hall conductivity vanishes. Only for non vanishing baryon chemical potential Hall conductivity has non zero value. We also estimate the electrical conductivity and the Hall conductivity as a function of the center of mass energy along the freeze out curve as may be relevant for relativistic heavy ion collision experiments.
Highlights
Transport coefficients of strongly interacting matter created in the relativistic heavy-ion collision experiments are of great importance for a comprehensive understanding of the hot and dense QCD medium produced in these experiments
Experimental data and theoretical models give a strong hint about the formation of quark-gluon plasma (QGP) in the initial stage of heavy-ion collisions and its subsequent hadronization, at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC)
We investigate the electrical and the Hall conductivity of the hot and dense hadron gas produced in the subsequent evolution of QGP, in heavy-ion collisions
Summary
Transport coefficients of strongly interacting matter created in the relativistic heavy-ion collision experiments are of great importance for a comprehensive understanding of the hot and dense QCD (quantum chromodynamics) medium produced in these experiments. In the dissipative relativistic hydrodynamical model of the hot and dense medium as well as for transport simulations, which are being used to describe the evolution of the strongly interacting matter in heavy-ion collisions, transport coefficients, e.g., shear and bulk viscosity, etc., play an important role. We investigate the electrical and the Hall conductivity of the hot and dense hadron gas produced in the subsequent evolution of QGP, in heavy-ion collisions. The electric field and magnetic field produced in heavy-ion collisions can have such configurations [67,68] and, it is natural to investigate the Hall effect in strongly interacting matter. We study the electrical and Hall conductivity for the hot and dense hadronic matter in a magnetic field using the hadron resonance gas model (HRGM) within the framework of the relaxation time approximation (RTA). We summarize our work with an outlook in the conclusion section
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