  This work discusses about the transport coefficients for non equilibrium hot
metals. First, we review the role of the non equilibrium Kappa distribution in
which the Kappa parameter varies with the temperature. A brief discussion
compares such distribution with the classical non equilibrium function. Later,
we analyze the generalized electrical conductivity obtained from the evolution
of the Kappa distribution. Also, we reexamine the connection between a
material-dependent coefficient which can be extracted from the thermionic
emission and the melting point of the metal. We extend previous studies by
analyzing additional metals used as thermionic emitters. Finally, in the light
of the Wiedemann-Franz Law, we present a new generalized thermal conductivity,
which is also applied to several metals.
