Abstract
We estimate the electrical and thermal conductivities of hot and dense hadronic matter in the relaxation time approximation of the Boltzmann equation. We estimate the thermodynamical quantities of hot and dense hadronic matter within the ambit of the excluded volume hadron resonance gas model. The relaxation time for all the hadrons is estimated assuming the constant cross section with uniform as well as mass dependent hard-core radius. We compare our results with various existing results. Finally we give an estimate of electrical and thermal conductivities in the context of heavy ion collision experiments.
Highlights
Transport coefficients of hot and dense matter are one of the challenging contemporary research interests, in the field of strong interaction physics
We have studied the electrical and thermal conductivity of hot and dense hadron gas by using the Boltzmann equation in the relaxation time approximation
We found that the magnitude of electrical conductivity is higher in our case as compared to these existing results and is more for the mass dependent excluded volume parameter case as compared to the case of the uniform excluded volume parameter
Summary
Transport coefficients of hot and dense matter are one of the challenging contemporary research interests, in the field of strong interaction physics. Apart from these, there have been other dynamical manifestations of such strong fields on other observables, like an increase in the elliptical flow coefficient All these interesting and important effects in off central heavy ion collisions require that a reasonably strong magnetic field survives for at least several Fermi proper time. The time evolution of the magnetic field in relativistic heavy ion collisions is still an open question This requires a proper estimate of the electrical conductivity of the medium as well as solutions of magnetohydrodynamic equations, which need further investigation [54,56].
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