Abstract
We have studied the effect of strong magnetic field on the charge and thermal transport properties of hot QCD matter at finite chemical potential. For this purpose, we have calculated the electrical conductivity (sigma _mathrm{el}) and the thermal conductivity (kappa ) using kinetic theory in the relaxation time approximation, where the interactions are subsumed through the distribution functions within the quasiparticle model at finite temperature, strong magnetic field and finite chemical potential. This study helps to understand the impacts of strong magnetic field and chemical potential on the local equilibrium by the Knudsen number (Omega ) through kappa and on the relative behavior between thermal conductivity and electrical conductivity through the Lorenz number (L) in the Wiedemann–Franz law. We have observed that, both sigma _mathrm{el} and kappa get increased in the presence of strong magnetic field, and the additional presence of chemical potential further increases their magnitudes, where sigma _mathrm{el} shows decreasing trend with the temperature, opposite to its increasing behavior in the isotropic medium, whereas kappa increases slowly with the temperature, contrary to its fast increase in the isotropic medium. The variation in kappa explains the decrease of the Knudsen number with the increase of the temperature. However, in the presence of strong magnetic field and finite chemical potential, Omega gets enhanced and approaches unity, thus, the system may move slightly away from the equilibrium state. The Lorenz number (kappa /(sigma _mathrm{el} T)) in the abovementioned regime of strong magnetic field and finite chemical potential shows linear enhancement with the temperature and has smaller magnitude than the isotropic one, thus, it describes the violation of the Wiedemann–Franz law for the hot and dense QCD matter in the presence of a strong magnetic field.
Highlights
At high temperatures and/or chemical potentials the system can transit to a state consisting of deconfined quarks and gluons, called as quark-gluon plasma (QGP) and such conditions are evidenced in ultrarelativistic heavy-ion collisions at Relativistic Heavy Ion Collider (RHIC) [1–4], Large HadronCollider (LHC) [5,6], and are expected to be produced in the Compressed Baryonic Matter (CBM) experiment at Facility for Antiproton and Ion Research (FAIR) [7]
In calculating the electrical and thermal conductivities we have followed the kinetic theory approach in the relaxation time approximation, where the interactions are incorporated through the effective masses of particles at finite temperature, strong magnetic field and finite chemical potential in quasiparticle model
We have observed that the values of electrical and thermal conductivities get increased in the presence of strong magnetic field in comparison to those in the isotropic medium at zero magnetic field, and the additional presence of chemical potential further increases their values
Summary
At high temperatures and/or chemical potentials the system can transit to a state consisting of deconfined quarks and gluons, called as quark-gluon plasma (QGP) and such conditions are evidenced in ultrarelativistic heavy-ion collisions at Relativistic Heavy Ion Collider (RHIC) [1–4], Large Hadron. We have followed the kinetic theory approach to calculate the electrical and thermal conductivities in the presence of strong magnetic field and finite chemical potential. We have studied the charge and thermal transport properties and their applications through the Knudsen number and the Lorenz number in the presence of strong magnetic field and finite chemical potential and observed how these properties are different from their respective behaviors in a medium in the absence of magnetic field and chemical potential. We have used the kinetic theory approach by solving the relativistic Boltzmann transport equation in the relaxation-time approximation to calculate the electrical and thermal conductivities, where the interactions among particles are incorporated through their effective masses in the quasiparticle model at finite temperature, strong magnetic field and finite chemical potential.
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