Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Minimum free energy in linear thermoelectromagnetism


Authors: Giovambattista Amendola and Adele Manes
Journal: Quart. Appl. Math. 63 (2005), 645-672
MSC (2000): Primary 78A25, 74A15
DOI: https://doi.org/10.1090/S0033-569X-05-00983-2
Published electronically: September 22, 2005
MathSciNet review: 2187924
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Abstract: A closed expression is given for the minimum free energy of a linear thermoelectromagnetic conductor, whose constitutive equations relative to the electric current density and to the heat flux have memory effects. This expression, derived in the frequency domain, is related to the maximum recoverable work, which can be obtained from a given state of the material. Another equivalent expression of the minimum free energy is deduced; it allows us to give explicit formulae for the case of a discrete spectrum model.


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Additional Information

Giovambattista Amendola
Affiliation: Dipartimento di Matematica Applicata “U.Dini”, Facoltà di Ingegneria, via Diotisalvi 2, 56126-Pisa, Italy

Adele Manes
Affiliation: Dipartimento di Matematica “L.Tonelli”, via F.Buonarroti 2, 56127-Pisa, Italy

DOI: https://doi.org/10.1090/S0033-569X-05-00983-2
Keywords: Thermoelectromagnetism, fading memory, free energy
Received by editor(s): December 1, 2004
Published electronically: September 22, 2005
Additional Notes: This work was performed under the support of C.N.R. and M.I.U.R
Article copyright: © Copyright 2005 Brown University


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