Dissipative electromagnetism from a nonequilibrium thermodynamics perspective

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 nonequilibrium reversible-irreversible coupling (GENERIC) framework, accounting also for inhomogeneous temperature.