Abstract
We estimate various transport coefficients of hot and dense hadronic matter in the presence of magnetic field. The estimation is done through solutions of the relativistic Boltzmann transport equation in the relaxation time approximation.We have investigated the temperature and the baryon chemical potential dependence of these transport coefficients. Explicit calculations are done for the hadronic matter in the ambit of hadron resonance gas model. We estimate thermal conductivity, electrical conductivity and the shear viscosity of hadronic matter in the presence of a uniform magnetic field. Magnetic field, in general, makes the transport coefficients anisotropic. It is also observed that all the transport coefficients perpendicular to the magnetic field are smaller compared to their isotropic counterpart.
Highlights
Interacting matter produced in relativistic heavy-ion collision experiments at relativistic heavy ion collider (RHIC) and Large Hadron Collider (LHC) gives us a unique opportunity to study strong interaction in the nonperturbative regime
It is observed that all the transport coefficients perpendicular to the magnetic field are smaller compared to their isotropic counterpart
We study the effect of magnetic field on various transport coefficients of the hot and dense hadronic matter in a general electric and magnetic field configuration using the hadron resonance gas model within the framework of relaxation time approximation (RTA)
Summary
Interacting matter produced in relativistic heavy-ion collision experiments at relativistic heavy ion collider (RHIC) and Large Hadron Collider (LHC) gives us a unique opportunity to study strong interaction in the nonperturbative regime. We investigate thermal conductivity, electrical conductivity, and shear viscosity for the hot and dense hadron gas produced in the subsequent evolution of QGP, in heavy-ion collisions, and in the presence of a magnetic field. We study the effect of magnetic field on various transport coefficients of the hot and dense hadronic matter in a general electric and magnetic field configuration using the hadron resonance gas model within the framework of relaxation time approximation (RTA). In such a case, while the equilibrium dynamics is decided by strong interaction, the effect of magnetic field is reflected through the cyclotron frequency of the individual hadrons Such an approximation has been utilized earlier to estimate transport coefficients [76,81]. We conclude our work with an outlook to it
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