Electrical and thermal conductivities of hot and dense hadronic matter

We estimate the electrical and thermal conductivities of hot and dense hadronic matter in the relaxation time approximation of the Boltzmann equation. We estimate the thermodynamical quantities of hot and dense hadronic matter within the ambit of the excluded volume hadron resonance gas model. The relaxation time for all the hadrons is estimated assuming the constant cross section with uniform as well as mass dependent hard-core radius. We compare our results with various existing results. Finally we give an estimate of electrical and thermal conductivities in the context of heavy ion collision experiments.

Figure 1

Thermodynamical functions, pressure (a) and trace anomaly (b), at zero chemical potential.

Figure 2

Normalized conductivity in the present EHRGM with two different parametrizations for the excluded volume compared with other model estimations. The magenta dot-dashed curve refers to the EHRGM with a uniform excluded volume parameter, while the dashed double-dot curve corresponds to the EHRGM with a mass dependent excluded volume calculation.

Figure 3

The scaled electrical conductivity as a function of temperature for different values for the baryon chemical potential. (a) The variation in the EHRGM with a uniform hard-core excluded volume. (b) Corresponds to the EHRGM model with a mass dependent excluded volume.

Figure 4

Scaled thermal conductivity as a function of temperature in the EHRGM with uniform excluded volume for all hadrons (a) and a mass dependent excluded volume (b).

Figure 5

Variation of scaled electrical conductivity ($\frac{{\sigma }_{\mathrm{ele}}}{T}$) (a) and scaled thermal conductivity ($\frac{\kappa }{T^2}$) (b) with the center of mass energy for both uniform excluded volume parameter (blue solid line) and mass dependent volume parameter (green dashed line).