A Phenomenological Energy-Ratio Correction to Thermally Activated Transport in Solids

This paper presents a phenomenological framework inspired by Energy-Efficiency Theory (EET) to capture the influence of external drive on thermally activated transport in solids. We introduce two measurable energy rates: E˙mainE˙main (maintenance power, quantified via Johnson‑Nyquist noise) and E˙respE˙resp (non‑thermal power absorbed from external driving). Their ratio η=E˙resp/E˙mainη=E˙resp/E˙main serves as a dimensionless proxy for the strength of external perturbation. For weak driving, we propose that transport coefficients XX (diffusion, electrical conductivity, thermal conductivity) follow X(η)=X(0)⋅F(η)X(η)=X(0)⋅F(η), where X(0)X(0) are the classical zero‑drive values and F(η)F(η) is a monotonic…