Maxwell Equations and Irreversibility

TL;DR

This paper investigates the form of Maxwell's equations in the hydrodynamic regime and explores their implications for irreversibility and coarse-grained descriptions of electromagnetic phenomena.

Contribution

It derives the form of Maxwell's equations under low-frequency, high-dissipation conditions and analyzes their connection to irreversibility in macroscopic electromagnetic theory.

Findings

Derived Maxwell equations for hydrodynamic regime

Linked electromagnetic irreversibility to coarse-grained models

Provided insights into dissipative electromagnetic processes

Abstract

Two questions connected to the macroscopic Maxwell equations are addressed: First, which form do they assume in the hydrodynamic regime, for low frequencies, strong dissipation and arbitrary field strengths. Second, what does this tell us about irreversibility and coarse-grained description.