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Minimum free energy for an electromagnetic conductor with memory
Author(s) -
Amendola G.,
Fabrizio M.,
Golden J. M.
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1027
Subject(s) - mathematics , conductor , expression (computer science) , energy (signal processing) , work (physics) , inverse , mathematical analysis , domain (mathematical analysis) , state (computer science) , quantum mechanics , physics , geometry , statistics , algorithm , computer science , programming language
Abstract A closed expression is determined in the frequency domain for the minimum free energy associated with a state of a linear electromagnetic conductor with memory effects, using the fact that this quantity is equal to the maximum recoverable work obtainable from the given state of the material. Another equivalent expression is also derived and applied to evaluate explicit formulae for a discrete spectrum model. In particular, for such a model we present the results corresponding to only one inverse time decay for each of the three kernels of the constitutive equations. These results clearly show the effects of various parameters on the expression for the minimum free energy. Copyright © 2008 John Wiley & Sons, Ltd.