Effect of magnetic field on the charge and thermal transport properties of hot and dense QCD matter
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Regular Article - Theoretical Physics
Effect of magnetic field on the charge and thermal transport properties of hot and dense QCD matter Shubhalaxmi Ratha , Binoy Krishna Patrab Department of Physics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Received: 9 June 2020 / Accepted: 6 August 2020 © The Author(s) 2020
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 (σel ) and the thermal conductivity (κ) 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 () through κ 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 σel and κ get increased in the presence of strong magnetic field, and the additional presence of chemical potential further increases their magnitudes, where σel shows decreasing trend with the temperature, opposite to its increasing behavior in the isotropic medium, whereas κ increases slowly with the temperature, contrary to its fast increase in the isotropic medium. The variation in κ 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, gets enhanced and approaches unity, thus, the system may move slightly away from the equilibrium state. The Lorenz number (κ/(σel 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.
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1 Introduction 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 Collider (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 addition, the collision for nonzero impact parameter also produces a strong magnetic field, whose magnitude varies from eB = m 2π ( 1018 Gauss) at RHIC to 15 m 2π at LHC [8]. Although the quark chemical potential is very small in the initial stages of ultrarelativistic heavy ion collisions, it is not zero. Some s
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