A covariant Boltzmann equation with one relaxation time yields L/L0 = (3/pi^2)(h/(k_BT))^2 for both graphene and QGP, so the Wiedemann-Franz law fails as the net carrier density approaches zero.
Violation of Wiedemann-Franz Law for Hot Hadronic Matter created at NICA, FAIR and RHIC Energies using Non-extensive Statistics
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We present here the computation of electrical and thermal conductivity by solving the Boltzmann transport equation in relaxation time approximation. We use the $q$-generalized Boltzmann distribution function to incorporate the effects of non-extensivity. The behaviour of these quantities with changing temperature and baryochemical potential has been studied as the system slowly moves towards thermodynamic equilibrium. We have estimated the Lorenz number at NICA, FAIR and the top RHIC energies and studied as a function of temperature, baryochemical potential and the non-extensive parameter, $q$. We have observed that Wiedemann-Franz law is violated for a non-extensive hadronic phase as well as for an equilibrated hadron gas at high temperatures.
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On the Wiedemann-Franz law violation in Graphene and quark-gluon plasma systems
A covariant Boltzmann equation with one relaxation time yields L/L0 = (3/pi^2)(h/(k_BT))^2 for both graphene and QGP, so the Wiedemann-Franz law fails as the net carrier density approaches zero.