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On the irreversibility of time for an electromagnetic hereditary linear system

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Abstract

We give conditions for an electromagnetic linear system of hereditary type under which the time-reversal hypothesis does not hold if the relaxation functions of the electromagnetic field have different behavior at the extremes of the interval of definition. Under the same conditions, it is also possible to prove that these functions are constant if they have the same behavior at the extremes of the interval of definition.

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References

  1. R. A. Toupin and R. S. Rivlin, “Linear functional electromagnetic constitutive relations and plane waves in a hemihedral isotropic material,” Arch. Rat. Mech. Anal., 6, 188–197 (1960).

    Article  MATH  MathSciNet  Google Scholar 

  2. D. Graffi, “L’opera di Vito Volterra sui fenomeni ereditari e alcune sue conseguenze,” Atti Convegno Int. Commemorazione Vito Volterra Accad. Naz. Lincei. (1990).

  3. G. Matarazzo, On a Relation between Memory Effects by Maxwell-Boltzmann and Kelvin-Voigt in Linear Viscoelastic Theory, Preprint, Dipartimento di Ingegneria dell’Informazione Matematica Applicata dell’Universitá di Salermo (1992).

  4. B. Lazzari, “Sul comportamento asintotico dell’energiaa elettomagnetica in un materiale dielettrico lineare,” Boll. Unione Mat. Ital., 4B, 155–170 (1990).

    MathSciNet  Google Scholar 

  5. G. Matarazzo, On Evolution Problems of Linear and Strongly Viscoelastic Material Systems, Preprint, Dipartimento di Ingegneria dell’Informazione Matematica Applicata dell’Universitá di Salermo (1992).

  6. R. S. Rivlin, “A note on the Onsager-Casimir relations,” J. Appl. Math. Phys., 24, 897–900 (1973).

    Article  MATH  Google Scholar 

  7. G. Matarazzo, Symmetry of Relaxation Function and Time-Unreversal in Linear Viscoelasticity, Preprint, Dipartimento di Ingegneria dell’Informazione Matematica Applicata dell’Universitá di Salermo (1992).

  8. G. Matarazzo, Time-Unreversal and Existence and Uniqueness Problems in Linear Viscoelasticity, Preprint, Dipartimento di Ingegneria dell’Informazione Matematica Applicata dell’Universitá de Salermo (1992).

  9. G. Matarazzo, Restrictions Thermodynamiques et Symetrie Pour un Systeme Électromagnétique Héréditaire Linéaire, Preprint, Dipartimento di Ingegneria dell’Informazione Matematica Applicata dell’Universitá de Salermo (1992).

  10. L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media, Pergamon Press, New York-London (1960).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Ingegneria dell’Informazione e Matematica Applicata dell’Universitá di Salermo, Italia

    G. Matarazzo

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  1. G. Matarazzo
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 1, pp. 143–147, January, 1998.

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Matarazzo, G. On the irreversibility of time for an electromagnetic hereditary linear system. Ukr Math J 50, 164–169 (1998). https://doi.org/10.1007/BF02514696

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  • DOI: https://doi.org/10.1007/BF02514696

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