Thermodynamics and Dynamic Stability: Extended Theories of Heat Conduction

TL;DR

This paper investigates the dynamic stability of advanced heat conduction theories beyond Fourier's law using nonequilibrium thermodynamics, demonstrating how thermodynamic principles ensure stability and comparing various extended models.

Contribution

It provides a thermodynamic framework to analyze stability of extended heat conduction theories and compares different models within this framework.

Findings

Thermodynamic principles ensure stability of homogeneous equilibrium.

Extended theories can be analyzed within a unified thermodynamic framework.

Comparison of various extended heat conduction models.

Abstract

The fundamental dynamic stability of heat conduction theories beyond Fourier is analyzed in the framework of nonequilibrium thermodynamics. It is shown, that the thermodynamic framework, concave entropy and nonnegative entropy production, can ensure the stability of homogeneous thermodynamic equilibrium. Various special heat conduction theories of Extended Thermodynamics are compared and analysed in the general framework.