Thermal conductivity and local thermodynamic equilibrium of stochastic energy exchange models

TL;DR

This study investigates how a stochastic microscopic heat conduction model's low energy site effect influences macroscopic thermodynamic properties, finding that key properties remain qualitatively unchanged.

Contribution

It provides numerical evidence that the low energy site effect does not alter the thermal conductivity or local thermodynamic equilibrium in the model.

Findings

Thermal conductivity remains unaffected by the low energy site effect.

Local thermodynamic equilibrium persists despite the effect.

Numerical results support the robustness of macroscopic properties.

Abstract

In this paper we study macroscopic thermodynamic properties of a stochastic microscopic heat conduction model that is reduced from deterministic problems. Our goal is to numerically check how the `low energy site effect' inherited from the deterministic model would affect the macroscopic thermodynamic properties such as the thermal conductivity and the local thermodynamic equilibrium. After a series of numerical computations, our conclusion is that neither the thermal conductivity nor the existence of local thermodynamic equilibrium is qualitatively changed by this effect.