Calculation of anisotropic transport coefficients for an ultrarelativistic Boltzmann gas in a magnetic field within a kinetic approach

TL;DR

This paper uses a kinetic approach with the BAMPS model to calculate anisotropic transport coefficients of an ultrarelativistic Boltzmann gas in a magnetic field, confirming the validity of Kubo formulas for quark-gluon plasma.

Contribution

It introduces a kinetic approach to compute anisotropic transport coefficients in a magnetic field and validates the results against Grad's approximation.

Findings

Good agreement between Kubo-based and Grad's approximation results.

Confirms the applicability of Kubo formulas for quark-gluon plasma.

Provides a reliable method for calculating transport coefficients in magnetic fields.

Abstract

According to the Kubo formulas we employ the (3+1)-d parton cascade, Boltzmann approach of multiparton scatterings (BAMPS), to calculate the anisotropic transport coefficients (shear viscosity and electric conductivity) for an ultrarelativistic Boltzmann gas in the presence of a magnetic field. The results are compared with those recently obtained by using the Grad's approximation. We find good agreements between both results, which confirms the general use of the derived Kubo formulas for calculating the anisotropic transport coefficients of quark-gluon plasma in a magnetic field.