Nonequilibrium Electromagnetics: Local and Macroscopic Fields and Constitutive Relationships

Published

January 1, 2004

Author(s)

James R. Baker-Jarvis, Pavel Kabos, Christopher L. Holloway

Abstract

In this paper we study the electrodynamics of materials using an exact Liouville-Hamiltonian-based statistical-mechanical theory where the magnetization, polarization, and strain density may depend on both the applied electric, magnetic, and stress fields. The goal is to develop electrodynamics from an ensemble average viewpoint that is valid for microscopic and nonequilibrium systems. The advantage of this approach is that the derived constitutive relations are very general and the local and macroscopic fields are well-defined. We develop novel, exact equations for the local field as functions of the applied, polarization, magnetization, strain density, and macroscopic fields. We develop novel expressions for the bound and free-charge currents and relate them to the constitutive expressions in Maxwell's equations.

Citation

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

Volume

70

Issue

036615

Pub Type

Journals

Keywords

dielectric response, magnetic response, nonequilibrium, Constitutive relations, entropy, loss factor, nonlinar response, projection operator, relaxation.

Citation

Baker-Jarvis, J. , Kabos, P. and Holloway, C. (2004), Nonequilibrium Electromagnetics: Local and Macroscopic Fields and Constitutive Relationships, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) (Accessed April 23, 2024)