Il secondo suono nei cristalli : termodinamica ed equazioni costitutive

Bernard D. Coleman; Mauro Fabrizio; David R. Owen

Rendiconti del Seminario Matematico della Università di Padova (1982)

  • Volume: 68, page 207-227
  • ISSN: 0041-8994

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Coleman, Bernard D., Fabrizio, Mauro, and Owen, David R.. "Il secondo suono nei cristalli : termodinamica ed equazioni costitutive." Rendiconti del Seminario Matematico della Università di Padova 68 (1982): 207-227. <http://eudml.org/doc/107873>.

@article{Coleman1982,
author = {Coleman, Bernard D., Fabrizio, Mauro, Owen, David R.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {second law of thermodynamics; natural generalization to anisotropic media of relation of Cattaneo; second sound; crystals},
language = {ita},
pages = {207-227},
publisher = {Seminario Matematico of the University of Padua},
title = {Il secondo suono nei cristalli : termodinamica ed equazioni costitutive},
url = {http://eudml.org/doc/107873},
volume = {68},
year = {1982},
}

TY - JOUR
AU - Coleman, Bernard D.
AU - Fabrizio, Mauro
AU - Owen, David R.
TI - Il secondo suono nei cristalli : termodinamica ed equazioni costitutive
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1982
PB - Seminario Matematico of the University of Padua
VL - 68
SP - 207
EP - 227
LA - ita
KW - second law of thermodynamics; natural generalization to anisotropic media of relation of Cattaneo; second sound; crystals
UR - http://eudml.org/doc/107873
ER -

References

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  1. [1] B.D. Coleman - W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity, Arch. Rational Mech. Anal., 13 (1963), pp. 167-178. Zbl0113.17802MR153153
  2. [2] C. Cattaneo, Sulla conduzione del calore, Atti Sem. Mat. Fis. Univ. Modena, 3 (1948), pp. 83-101. Zbl0035.26203MR32898
  3. [3] C. Truesdell - R.G. Muncaster, Fundamentals of Maxwell's Kinetic Theory of a Simple Monatomic Gas, New York, etc., Academic Press (1980). MR554086
  4. [4] M. Chester, Second sound in solids, Phys. Rev., 131 (1963), pp. 2013-2015. 
  5. [5] R.A. Guyer - J. A. KRUMHANSL, Solution of the linearized phonon Boltzmann equation, Phys. Rev., 148 (1966), pp. 766-778. 
  6. [6] J.C. Ward - J. Wilks, Second sound and the thermo-mechanical effeot at very low temperatures, Phil. Mag., 43 (1952), pp. 48-50. 
  7. [7] R.B. Dingle, The velocity of second sound in various media, Proc. Roy. Soc. (London), A65 (1952), pp. 1044-1050. 
  8. [8] J.A. Sussman - A. THELLUNG, Thermal conductivity of perfect dielectric crystals in the absence of umklapp processes, Proc. Phys. Soc. (London), 81 (1963), pp. 1122-1130. Zbl0113.22601
  9. [9] A. Griffin, On the detection of second sound in crystals by light scattering, Phys. Letters, 17 (1965), pp. 208-210. 
  10. [10] E.W. Prohofsky - J.A. Krumhansl, Second-sound propagation in dielectric solids, Phys. Rev., 133 (1964), pp. A1403-A1410. 
  11. [11] R.A. Guyer - J. A. KRUMHANSL, Dispersion relation for second sound in solids, Phys. Rev., 133 (1964), pp. A1411-A1417. 
  12. [12] C.P. Enz, One-particle densities, thermal propagation, and second sound in dielectric crystals, Ann. Phys. (N. Y.), 46 (1968), pp. 114-173. 
  13. [13] P.C. Kwok, Dispersion and damping of second sound in nonisotropic solids, Physics, 3 (1967), pp. 221-229. 
  14. [14] R.J. Hardy, Phonon Boltzmann equation and second sound in solids, Phys. Rev.B, 2 (1970), pp. 1193-1207. 
  15. [15] M.E. Gurtin - A. C. PIPKIN, A general theory of heat conduetion with finite wave speeds, Arch. Rational Mech. Anal., 31 (1968), pp. 113-126. Zbl0164.12901MR1553521
  16. [16] A. Morro, Wave propagation in thermo-viscous materials with hidden variables, Arch. Mech. (Warszawa), 32 (1980), pp. 145-161. Zbl0434.73006MR583028
  17. [17] Y.-H. Pao - D. K. BANERJEE, Thermal pulses in dielectric erystals, Lett. Appl. Eng. Sci., 1 (1973), pp. 35-41. 
  18. [18] D.K. Banerjee - Y.-H. PAO, Thermoetastic waves in anisotropic solids, J. Acoustic Soc. Am., 56 (1974), pp. 1444-1454. Zbl0297.73011
  19. [19] B.D. Coleman - M. Fabrizio - D.R. Owen, On the thermodynamics of second sound in dielectric crystals, Arch. Rational Mech. Anal.80 (1982), pp. 135-158. Zbl0501.73008MR666429
  20. [20] B.D. Coleman - D.R. Owen, A mathematical foundation for thermodynamics, Arch. Rational Mech. Anal., 54 (1974), pp. 1-104. Zbl0306.73004MR395502
  21. [21] B.D. Coleman - D.R. Owen, On thermodynamics and elastic-plastic materials, Arch. Rational Mech. Anal., 59 (1975), pp. 25-51 (erratum, ibid., 62 (1975), p. 396); On the thermodynamics of elastic-plastic materials with temperature-dependent moduli and yield stresses, ibid., 70 (1979), pp. 340-354. Zbl0441.73007MR381526
  22. [22] B.D. Coleman - V.J. Mizel, Thermodynamics and departures from Fourier's law of heat conduction, Arch. Rational Mech. Anal., 13 (1963), pp. 245-261. Zbl0114.44905MR151119
  23. [23] B.D. Coleman - V.J. Mizel, Existence of caloric equations of state in thermodynamics, J. Chem. Phys., 40 (1964), pp. 1116-1125. MR161576
  24. [24] B.D. Coleman - M.E. Gurtin, Thermodynamics with internal state variables, J. Chem. Phys., 47 (1967), pp. 597-613. 
  25. [25] A. Morro, Acceleration waves in thermo-viscous fluids, Rend. Sem. Mat. Univ. Padova, 63 (1980), pp. 169-184. Zbl0486.76001MR605791

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