Generalized ballistic-conductive heat conduction in isotropic materials

TL;DR

This paper develops a comprehensive isotropic heat conduction model incorporating second sound and ballistic effects using Non-Equilibrium Thermodynamics with Internal Variables, linking it to Extended Thermodynamics theories.

Contribution

It introduces a generalized isotropic heat conduction framework with second sound and ballistic propagation based on NET-IV, considering Onsager reciprocity and entropy production.

Findings

Derivation of constitutive equations for ballistic-conductive heat conduction.

Analysis of Onsager reciprocity in the context of heat fluxes.

Discussion on the relation to Extended Thermodynamics theories.

Abstract

The general isotropic constitutive equations of heat conduction with second sound and ballistic propagation in isotropic materials is given using Non-Equilibrium Thermodynamics with Internal Variables (NET-IV). The consequences of Onsager reciprocity between thermodynamic fluxes and forces and positive definiteness of the entropy production is considered. The relation to theories of Extended Thermodynamics is discussed in detail.