Il secondo suono nei cristalli : termodinamica ed equazioni costitutive
Coleman, Bernard D. ; Fabrizio, Mauro ; Owen, David R.
Rendiconti del Seminario Matematico della Università di Padova, Tome 68 (1982), p. 207-227 / Harvested from Numdam
Publié le : 1982-01-01
@article{RSMUP_1982__68__207_0,
     author = {Coleman, Bernard D. and Fabrizio, Mauro and Owen, David R.},
     title = {Il secondo suono nei cristalli : termodinamica ed equazioni costitutive},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {68},
     year = {1982},
     pages = {207-227},
     mrnumber = {702156},
     zbl = {0537.73002},
     language = {it},
     url = {http://dml.mathdoc.fr/item/RSMUP_1982__68__207_0}
}
Coleman, Bernard D.; Fabrizio, Mauro; Owen, David R. Il secondo suono nei cristalli : termodinamica ed equazioni costitutive. Rendiconti del Seminario Matematico della Università di Padova, Tome 68 (1982) pp. 207-227. http://gdmltest.u-ga.fr/item/RSMUP_1982__68__207_0/

[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. | MR 153153 | Zbl 0113.17802

[2] C. Cattaneo, Sulla conduzione del calore, Atti Sem. Mat. Fis. Univ. Modena, 3 (1948), pp. 83-101. | MR 32898 | Zbl 0035.26203

[3] C. Truesdell - R.G. Muncaster, Fundamentals of Maxwell's Kinetic Theory of a Simple Monatomic Gas, New York, etc., Academic Press (1980). | MR 554086

[4] M. Chester, Second sound in solids, Phys. Rev., 131 (1963), pp. 2013-2015.

[5] R.A. Guyer - J. A. KRUMHANSL, Solution of the linearized phonon Boltzmann equation, Phys. Rev., 148 (1966), pp. 766-778.

[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] R.B. Dingle, The velocity of second sound in various media, Proc. Roy. Soc. (London), A 65 (1952), pp. 1044-1050.

[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. | Zbl 0113.22601

[9] A. Griffin, On the detection of second sound in crystals by light scattering, Phys. Letters, 17 (1965), pp. 208-210.

[10] E.W. Prohofsky - J.A. Krumhansl, Second-sound propagation in dielectric solids, Phys. Rev., 133 (1964), pp. A1403-A1410.

[11] R.A. Guyer - J. A. KRUMHANSL, Dispersion relation for second sound in solids, Phys. Rev., 133 (1964), pp. A1411-A1417.

[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] P.C. Kwok, Dispersion and damping of second sound in nonisotropic solids, Physics, 3 (1967), pp. 221-229.

[14] R.J. Hardy, Phonon Boltzmann equation and second sound in solids, Phys. Rev. B, 2 (1970), pp. 1193-1207.

[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. | MR 1553521 | Zbl 0164.12901

[16] A. Morro, Wave propagation in thermo-viscous materials with hidden variables, Arch. Mech. (Warszawa), 32 (1980), pp. 145-161. | MR 583028 | Zbl 0434.73006

[17] Y.-H. Pao - D. K. BANERJEE, Thermal pulses in dielectric erystals, Lett. Appl. Eng. Sci., 1 (1973), pp. 35-41.

[18] D.K. Banerjee - Y.-H. PAO, Thermoetastic waves in anisotropic solids, J. Acoustic Soc. Am., 56 (1974), pp. 1444-1454. | Zbl 0297.73011

[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. | MR 666429 | Zbl 0501.73008

[20] B.D. Coleman - D.R. Owen, A mathematical foundation for thermodynamics, Arch. Rational Mech. Anal., 54 (1974), pp. 1-104. | MR 395502 | Zbl 0306.73004

[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. | MR 381526 | Zbl 0441.73007

[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. | MR 151119 | Zbl 0114.44905

[23] B.D. Coleman - V.J. Mizel, Existence of caloric equations of state in thermodynamics, J. Chem. Phys., 40 (1964), pp. 1116-1125. | MR 161576

[24] B.D. Coleman - M.E. Gurtin, Thermodynamics with internal state variables, J. Chem. Phys., 47 (1967), pp. 597-613.

[25] A. Morro, Acceleration waves in thermo-viscous fluids, Rend. Sem. Mat. Univ. Padova, 63 (1980), pp. 169-184. | Numdam | MR 605791 | Zbl 0486.76001