Non equilibrium thermal and electrical transport coefficients for hot metals

TL;DR

This paper investigates non-equilibrium transport coefficients in hot metals, focusing on the Kappa distribution, electrical conductivity, thermionic emission, and a generalized thermal conductivity, extending previous models to multiple metals.

Contribution

It introduces a generalized thermal conductivity model for hot metals based on non-equilibrium distributions, extending prior work to additional metals and thermionic emission analysis.

Findings

Kappa distribution varies with temperature in hot metals.

Generalized electrical conductivity derived from Kappa distribution.

New thermal conductivity model consistent with Wiedemann-Franz Law.

Abstract

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.