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John Jackson (2020)
Classical ElectrodynamicsNature, 224
A. Lakhtakia, W. Weiglhofer (2003)
Introduction to Complex Mediums for Optics and Electromagnetics
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Hamiltonian structure of thermodynamics with gauge ”
F. Delince, A. Nicolet, W. Legros, A. Genon (1994)
Analysis of ferroresonance with a finite element method taking hysteresis into accountJournal of Magnetism and Magnetic Materials, 133
* (dx ∧ dy) = dz, * (dz ∧ dx) = dy, * (dy ∧ dz) = dx
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(1994)
Modélisation des régimes transitoires dans les systèmes comportant des matériaux magnétiques non linéaires et hystérétiques
Purpose – Proposes to posit a clear definition of the energy stored in general electromagnetic media. Design/methodology/approach – A general setting of thermodynamics using differential geometry is used and it is shown how the Poynting identity fits in. Findings – A general method of defining the energy storage and dissipation in a general media is stated. Research limitations/implications – It appears that the definition of the energy stored in a dispersive media is not a state variable and depends on the history of the field variation. Practical implications – If an electromagnetic model has to be coupled to a mechanical or thermal one, the associated forces and/or heat dissipations may not be clearly defined if one merely knows the electromagnetic constitutive relations. Originality/value – It proposes a very general setting for the thermodynamic of electrodynamic media.
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Jan 1, 2006
Keywords: Electromagnetism; Thermodynamics; Differential geometry
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