Estimating Transport Coefficients In Hot And Dense Quark Matter
May 04, 2017
May 09, 2017
We compute the transport coefficients, namely, the coefficients of shear and bulk viscosity as well as thermal conductivity for hot and dense quark matter within the Nambu- Jona Lasinio (NJL) model.
The estimation of the transport coefficients is made by
solving the Boltzmann kinetic equation within the relaxation time approximation. The transition rates are calculated
in a manifestly covariant manner to estimate the thermal-averaged cross sections for quark-quark and quark-antiquark scattering.
The calculations are performed for finite chemical potential also. Within the parameters of the model, the
ratio of shear viscosity to entropy density has a minimum at the Mott transition temperature.
At vanishing chemical potential, the ratio of bulk viscosity to entropy density, on the other hand, decreases with temperature with a sharp decrease near the critical temperature, and vanishes beyond it.
The coefficient of thermal conductivity also shows a minimum at the critical temperature.
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