Nonextensive effects on the viscous properties of hot and magnetized QCD matter

TL;DR

This paper investigates how nonextensive Tsallis statistics influence the viscous properties of hot, magnetized QCD matter, revealing increased viscosities with nonextensivity and magnetic fields, affecting flow and symmetry observables.

Contribution

It introduces the application of nonextensive Tsallis statistics to analyze viscous coefficients of hot QCD matter in magnetic fields, highlighting the impact of nonextensivity on viscosity.

Findings

Viscosities increase with nonextensive parameter q > 1.

Magnetic fields amplify the viscosity enhancement.

Flow and symmetry observables are affected by nonextensive effects.

Abstract

We have studied the effect of the nonextensive Tsallis mechanism on the viscous properties of hot QCD matter in the presence of a strong magnetic field. The results are compared to the case of absence of magnetic field. The viscous coefficients, such as the shear viscosity ($\eta$) and the bulk viscosity ($\zeta$) are determined in the similar environment by utilizing the nonextensive Tsallis mechanism within the relaxation time approximation of kinetic theory. We have observed that, when the nonextensive parameter $q$ is just above unity, both shear and bulk viscosities get increased as compared to their counterparts at $q=1$. This enhancement in viscosities is more evident in the additional presence of a strong magnetic field. Furthermore, some observables pertaining to the flow characteristic, fluid behavior and conformal symmetry of the medium are also explored.