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Thermo-electrodynamics of rigid superconductors

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper deals with a continuum model of rigid superconductors. It is assumed that their property of shifting to the superconductive state for suitable values of temperature and magnetic field is due to a vectorial internal variable, related to the superelectron current by a linear constitutive law. The compatibility of the model with the second law of thermodynamics is investigated. The propagation of thermo-electromagnetic waves through a one-dimensional conductor is analyzed as well. Comparison is made with different continuum approaches which may be found in the literature.
Rocznik
Strony
377--389
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
  • Department of Mathematics, University of Basilicata, Campus Macchia Romana, 85100 Potenza – Italy
autor
  • Department of Mathematics, University of Messina Contrada Papardo, Salita Sperone 31, 98166 Messina – Italy
autor
  • Department of Mathematics, University of Basilicata, Campus Macchia Romana, 85100 Potenza – Italy
  • Department of Mathematics, University of Basilicata, Campus Macchia Romana, 85100 Potenza - Italy, cimmelli@unibas.it
Bibliografia
  • 1. A.D.C. Grassie, The Superconducting state, Sussex University Press, London 1975.
  • 2. H. Thomas, Some remarks in the history of superconductivity. [in:] Earlier and Recent Aspects of Superconductivity, J. G. Bednorz and K. A. Muller [Eds]., Springer-Verlag, 2–44, 1990.
  • 3. M. Fabrizio, C. Giorgi, A nonlocal phenomenological theory in superconductivity, Riv. Mat. Univ. Parma, 4, 415–430, 1984.
  • 4. M. Fabrizio, G. Gentili, B. Lazzari, A nonlocal thermodynamic theory of superconductivity, Math. Mod. Meth. Appl. Sci., 7, 345–362, 1997.
  • 5. F. London, H. London, The electromagnetic equations of the supraconductor, Proc. Roy. Soc. London, A149, 72–87, 1935.
  • 6. G. A. Maugin, Irreversible thermodynamics of deformable superconductors. C. R. Acad. Sci. Paris, 314, 889–894, 1992.
  • 7. C. S. Yeh, K. C. Chen, A phenomenological theory for elastic superconductors, Continuum Mech. Termodyn., 5, 127–144, 1993.
  • 8. H. Kamerlingh Onnes, Report on the researches made in the Leiden cryogenic laboratory between the second and third international congress of refrigeration, Commun. Kamerlingh Onnes Lab. Univ. Leiden, Suppl. 34B, 55–70, 1913.
  • 9. G.A. Maugin, W. Muschik, Thermodynamics with internal variables, Part I. General concepts, J. Non-Equilib. Thermodyn., 19, 217–249, 1994.
  • 10. J. Verhás, Thermodynamics and rheology, Kluver Academic Publishers, Dordrecht 1997.
  • 11. W. Muschik, C. Papenfuss, H. Ehrentraut, A sketch of continuum thermodynamics, J. Non-Newtonian Fluid Mech., 96, 255–290, 2001.
  • 12. J. Bardeen, Theory of superconductivity, Handbuch der Physik, XV, S. Flugge [Ed.], Springer-Verlag, 274–369, 1956.
  • 13. B. D. Coleman, M. E. Gurtin, Thermodynamics with internal state variables, J. Chem. Phys., 47, 597–613, 1967.
  • 14. C. Cattaneo, Sulla conduzione del calore, Atti Sem. Mat. Fis. Univ. Modena, 3, 83–101, 1948.
  • 15. V. A. Cimmelli, F. Oliveri, A diffusive-hyperbolic model for heat conduction, Mathl. Comput. Modelling, 39, 11–12, 1413–1422, 2003.
  • 16. G. Boillat, La propagation des ondes, Gauthier-Villars, Paris 1965.
  • 17. A. Donato, T. Ruggeri, Onde di discontinuità e condizioni di eccezionalità per materiali ferromagnetici, Acc. Naz. Lincei, Rend. Cl. Sc. Fis. Mat. Nat., Ser. VIII, LIII, 208–214, 1972.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0004-0017
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