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Some effects of phase transitions on heat propagation

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We consider phase transitions in solids due to heat propagating through crystalline materials at low temperatures. These are considered in a steady state context where, at the transition temperature, the specific heat becomes singular and the heat conductivity has a maximum. Several consequences are found for the heat capacity having finite or infinite jump discontinuities.
Rocznik
Strony
635--646
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
  • Department of Mathematics and Computer Science Loyola University, New Orleans, LA 70118, USA
autor
  • Department of Mathematics University of New Orleans New Orleans, LA 70148, USA
Bibliografia
  • 1. C. C. Ackerman, B. Bertman, H. A. Fairbank, and R. A. Guyer, Second sound in solid helium, Phys. Rev. Letters, 16, 789-791, 1966.
  • 2. M. Bertsch, and D. Hilhorst, The interface between regions where u < 0 and u > 0 in the porous medium equation, Appl. Anal., 41, 111-130, 1991.
  • 3. J. Huilshof, Similarity solutions of the porous medium equation with sign changes, J. Math. Anal. App., 157, 75-111, 1991.
  • 4. H. E. Jackson, C. T. Walker, and T. F. McNelly, Second sound in NaF, Phys. Rev. Letters, 25, 1, 26 28, 1970.
  • 5. H. E. Jackson, and C.T. Walker, Thermal conductivity, second sound, and phonon- phonon interactions in NaF, Physical Review B, 3, 4, 1428 1439, 1971.
  • 6. W. Kosiński, K. Saxton, and R. Saxton Second sound speed in a crystal of NaF at low temperature, Arch. Mech., 49, 1, 189-196, 1997.
  • 7. A. A. Lacey, J. R. Ockendon, and A. B. Taylor, “Waiting-time" solutions of a nonlinear diffusion equation, SIAM J. Appl. Math, 42, 6, 1252-1264, 1982.
  • 8. H. Li and K. Saxton, Large-asymptotic behaviour of solutions to quasilinear hyperbolic equations with nonlinear damping, Q. App. Math., to appear.
  • 9. T. F. McNelly,S.J. Rogers, D.J. Chamin, R. J. Rollefson, W. M. Goubau, G. E. Schmidt, J. A. Krumhansi, and R. O. Pohl, Heat pulses in NaF: onset of second sound, Phys. Rev. Letters, 24, 3, 100 102, 1970.
  • 10. V. Narayanamurti, and R. C. Dynes, Observation of second sound in bismuth, Phys. Rev. Letters, 28, 22, 1461-1465, 1972.
  • 11. S. Sakaguchi, Regularity of the interfaces with sign changes of solutions of the onedimensional porous medium equation, J. Diff. Equations, 178, 1-59, 2002.
  • 12. K. Saxton, R. Saxton, and W. Kosiński, On second sound at the critical temperature, Q. App. Math., 57, 723 740, 1999.
  • 13. K. Saxton, and R. Saxton, Nonlinearity and memory effects in low temperature heat propagation, Arch. Mech., 52, 127-142, 2000.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0002-0084
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