Dissipative electromagnetism from a nonequilibrium thermodynamics perspective

TL;DR

This paper derives macroscopic dissipative electromagnetism equations from microscopic Maxwell equations using a thermodynamic approach, incorporating fluctuations and correlations within the GENERIC framework.

Contribution

It introduces a novel method to derive dissipative effects in electromagnetism from microscopic fluctuations using a Green-Kubo type approach within a thermodynamic framework.

Findings

Derived macroscopic Maxwell equations with dissipation

Incorporated temperature inhomogeneity effects

Established a thermodynamic consistency using GENERIC

Abstract

Dissipative effects in electromagnetism on macroscopic scales are examined by coarse graining the microscopic Maxwell equations with respect to time. We illustrate a procedure to derive the dissipative effects on the macroscopic scale by using a Green-Kubo type expression in terms of the microscopic fluctuations and the correlations between them. The resulting macroscopic Maxwell equations are formulated within the General Equation for the Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) framework, accounting also for inhomogeneous temperature.