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Nonequilibrium Electromagnetics: Local and Macroscopic Fields and Constitutive Relationships

Published

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

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 July 13, 2024)

Issues

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Created December 31, 2003, Updated October 12, 2021