Impact of nonextensivity on the transport coefficients of strongly interacting QCD matter*

Abstract Tsallis nonextensive statistics is applied to study the transport coefficients of strongly interacting matter within the Polyakov chiral quark mean field model (PCQMF). Nonextensivity is introduced within the PCQMF model through a dimensionless parameter q to examine the viscous properties, such as shear viscosity ( η ) and bulk viscosity ( ), and conductive properties, such as electrical conductivity ( ) and thermal conductivity ( κ ). Additionally, some key thermodynamic quantities relevant to the transport coefficients, such as the speed of sound ( ) and specific heat at constant volume ( ), are calculated. The temperature dependence of the transport coefficients is explored through a kinetic theory approach with the relaxation time approximation. The results are compared to those of the extensive case where q approaches 1. The nonextensive q parameter is found to have a significant effect on all transport coefficients. We find that the nonextensive behaviour of the medium enhances specific shear viscosity , as well as conductive coefficients and . In contrast, the normalized bulk viscosity is found to decrease as the nonextensivity of the medium increases. We also studied the transport coefficients for finite values of chemical potentials. The magnitudes of η , , and κ increase at lower temperatures, while ζ b is found to decrease for systems with non-zero chemical potential.