Quantum-like behavior of 1D nonequilibrium system in the maximum heat flux limit

TL;DR

This paper explores quantum-like behavior in a 1D nonequilibrium system under maximum heat flux, extending thermodynamic variables using information entropy to better understand extreme thermal systems.

Contribution

It introduces an extended non-equilibrium entropy framework for 1D systems with heat flux, applicable when classical local equilibrium assumptions fail.

Findings

Extended entropy, temperature, and thermal conductivity depend on local energy density and heat flux.

The framework captures quantum-like effects in non-equilibrium thermal systems.

Applicable to performance analysis of microdevices operating under extreme conditions.

Abstract

Using information entropy formalism, we consider a one-dimensional system with heat flux and extend the meaning of equilibrium variables to non equilibrium scenarios when classical local equilibrium approach is not applicable; this is particularly important for the performance evaluation of modern thermal systems and microdevices, which usually operate in extreme situations. The extended non equilibrium entropy, temperature, thermal conductivity and heat capacity have been analyzed as functions of the local energy density (kinetic temperature) and heat flux.