Impact of nonextensivity on the transport coefficients of a magnetized hot and dense QCD matter

Abstract

Abstract We have studied the impact of the nonextensivity on the transport coefficients related to charge and heat in thermal QCD. For this purpose, the electrical ( $$\sigma _\textrm{el}$$ σ el ), Hall ( $$\sigma _\textrm{H}$$ σ H ), thermal ( $$\kappa $$ κ ) and Hall-type thermal ( $$\kappa _\textrm{H}$$ κ H ) conductivities are determined using the kinetic theory approach in association with the nonextensive Tsallis statistical mechanism. The effect of nonextensivity is encoded in the nonextensive Tsallis distribution function, where the deviation of the parameter q from 1 signifies the degree of nonextensivity in the concerned system. The thermal and electrical conductivities are found to increase with the introduction of nonextensivity, which means that the deviation of the medium from thermal equilibrium enhances both charge and heat transports. With the magnetic field, the deviations of $$\sigma _\textrm{el}$$ σ el , $$\sigma _\textrm{H}$$ σ H , $$\kappa $$ κ and $$\kappa _\textrm{H}$$ κ H from their respective equilibrated values increase, whereas these deviations decrease with the chemical potential. We have also studied how the extent of the nonextensivity modulates the longevity of magnetic field. Present work is further extended to the study of some observables associated with the aforesaid transport phenomena, such as the Knudsen number and the elliptic flow within the nonextensive Tsallis framework.