Studies of Nonequilibrium Dynamics in The Time Domain

  • W. E. Bron
Part of the NATO ASI Series book series (volume 124)


With but one exception, the material to be covered in this lecture concerns the excitation, and subsequent dynamics in the time domain, of nonequilibrium phonons in solids. This being the case, one needs to be aware of the natural time-scale associated with phonon dynamics; namely, the “lifetime” over which the excitation exists. It is now known that the lifetime of optical phonons in a simple solid is of the order of picoseconds, whereas those of acoustic phonons varies strongly with phonon frequency (υ) and phonon branch. Typically, the lifetimes (τ) of 1 THz longitudinal acoustic (LA) phonons is of the order of microseconds and varies with the inverse fifth power of the frequency (see e.g., Baumgartner et al., 1981), such that τ(υ) 1054 υ-5. On the other hand, in the absence of any impurity scattering it has been postulated that transverse acoustic (TA) phonons in the dispersive regime may have lifetimes of the order of seconds (Orbach and Vredevoe, 1964). I consider here only those cases in which even TA phonons possess lifetimes ≤ 10-6 s; hence to a regime 10-12 < τ < 10-6 which may be called the short to ultrashort time domain. I will further restrict myself to the transport of so-called high frequency phonons, i.e., υ ≥ 200 GHz.


Acoustic Phonon Phonon Transport Longitudinal Acoustic Transverse Acoustic Heater Film 
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  1. Armstrong, J.A., Bloembergen, N., Ducuing, J., and Pershan, P.S., 1962, Phys. Rev. 127: 1918.ADSCrossRefGoogle Scholar
  2. Ashcroft, N.W. and Mermin, N.D., 1976, “Solid State Physics,” Holt, Rinehardt, and Winston, New York, Chap. 25.Google Scholar
  3. Bairamov, B.Kh., Kitaev, Yu.E., Negoduiko, V.K., and Kashkotzev, Z.M., 1974, Fiz. Toerd. Tela. 16:2036, Engl. translation: Sov. Phys., Sol. State 16: 1323.Google Scholar
  4. Bairamov, B.Kh., Parshin, V.V., Toporov, and Ubaidullav, Sh.B., 1979, Pis’ma Zh. Tekh. Fiz. 5:1116, Engl. translation: Sov. Tech. Phys. Lett. 5: 466.Google Scholar
  5. Baumgartner, P., Englehardt, M., and Renk, K.F., 1981, Phys. Rev. Lett. 47: 1403.ADSCrossRefGoogle Scholar
  6. Bilz, H. and Kress, W., 1979, “Phonon Dispersion Relations in Insulators,” Springer, Berlin.CrossRefGoogle Scholar
  7. Born, M. and Huang, H.,1956, “Dynamical Theory of Crystal Lattices,” Clarendon, Oxford.Google Scholar
  8. Bron, W.E., 1972, in: Physics of Impurity Centers in Crystals, G. S. Savt, ed., Estonian Academy of Sciences, Tall in, pg. 343.Google Scholar
  9. Bron, W. E.,1975,Phys Rev. B 11:3951ADSCrossRefGoogle Scholar
  10. Bron, W.E., 1980a, Rep. Prog. Phys. 43: 301ADSCrossRefGoogle Scholar
  11. Bron, W.E., 1980b, Phys. Rev. B 21: 2627ADSCrossRefGoogle Scholar
  12. Bron,W.E. and Grill, W., 1977a,Phys. Rev. B 16: 5303.ADSCrossRefGoogle Scholar
  13. Bron, W.E. and Grill, W.,1977b, Phys. Rev. B 16: 5315.ADSCrossRefGoogle Scholar
  14. Bron, W. E. and Keilmann, F., 1975, Phys. Rev. 21: 2627.Google Scholar
  15. Bron, W.E., Levinson, Y.B., and O’Connor, J.M., 1982, Phys. Rev. Lett. 49: 209.ADSCrossRefGoogle Scholar
  16. Bron, W.E., Patel, J.L., and Schaich, W.L., 1979, Phys. Rev. B 20: 5394.ADSCrossRefGoogle Scholar
  17. Bron, W. E. and Wagner, M., 1965, Phys. Rev. 139: A233.ADSCrossRefGoogle Scholar
  18. Calleja, J.M., Vogt, H., and Cardona, M., 1983, Phil. Mag. A45: 239.ADSGoogle Scholar
  19. Cheeke, J.D.N., Hebral, B., and Martinon, C., 1972,J. Phys. (Paris) 33: C4–57.CrossRefGoogle Scholar
  20. Demtroder, W., 1981, “Laser Spectroscopy,” Springer, Berlin.Google Scholar
  21. Eisenmenger, W. and Dayem, H. H., 1967,Phys. Rev. Lett. 18: 125.ADSCrossRefGoogle Scholar
  22. Eisenmenger, W., 1976, in: Physical Acoustics, vol. 12, Mason, W.P. and Thurston, R.N., eds., Academic, New York, pg. 79.Google Scholar
  23. Flytzanis, C., 1978, in: “Quantum Electronics: A Treatise,” vol. 1, part A, Rabin, H. and Tang, C.L., eds., Academic, New York, pg. 9.Google Scholar
  24. Flytzanis,C. and Bloembergen, N., 1976, Proc. Quant. Elect. 4: 271.ADSCrossRefGoogle Scholar
  25. Gale, G.M. and Laubereau, A., 1983, Opt. Comm. 44: 273.ADSCrossRefGoogle Scholar
  26. von Gutfeld, R.G. and Nethercot, 1964, Phys. Rev. Lett. 12: 641.ADSCrossRefGoogle Scholar
  27. von Gutfeld, R.J., 1976, in: “Physical Acoustics,” vol. 5, Mason, W.P., ed., ( Academic, New York) pg. 9.Google Scholar
  28. Herth, P. and Weis, O., 1970, Z. Angew. Phys. 29: 101.Google Scholar
  29. Kappus, W. and Weis, O., 1973, J. Appl. Phys. 44: 1947.ADSCrossRefGoogle Scholar
  30. Kazakovtzev, D.V. and Levinson, Y.B., 197, Pis’ma Zh. Eksp. Teor. Fiz. 27:194 [Engl. Translation JETP Lett. 27:181].Google Scholar
  31. Kazakovtzev, D.V. and Levinson, Y.B., 1979, Phys. Status Solidi (b) 96: 117.ADSCrossRefGoogle Scholar
  32. Kazakovtzev, D.V. and Levinson, Y.B., 1981, J. Low Temp. Phys 45: 49.ADSCrossRefGoogle Scholar
  33. Klein, M.V., 1968, in: “Physics of Color Centers,” Fowler, W.B., ed., Academic, New York, pg. 429.Google Scholar
  34. Kleinman, D.A., 1969, Phys. Rev. 126: 1977.ADSCrossRefGoogle Scholar
  35. Klemens, P.G., 1958, in: “Solid State Physics,” vol. 1, Seitz. F. and Turnbull, D., eds., Academic, New York.Google Scholar
  36. Klemens, P.G., 1966, Phys. Rev. 148: 845.ADSCrossRefGoogle Scholar
  37. Klemens, P. G., 1967, J. Appl. Phys. 38: 4573.ADSCrossRefGoogle Scholar
  38. Kuhl, J. and Bron, W.E., 1984, Sol. State Comm. 48: 935.ADSCrossRefGoogle Scholar
  39. Kwok, P.C. and Miller, P.B., 1966, Phys. Rev. 146: 592.ADSCrossRefGoogle Scholar
  40. Laubereau, A. and Kaiser, W., 1978, Rev. Mod. Phys. 50: 607.ADSCrossRefGoogle Scholar
  41. Levenson, M.D. and Bloembergen, 1974, Phys. Rev. B 10: 4447.ADSCrossRefGoogle Scholar
  42. Levenson, M.D. and Song, J.J., 1980, in: “Coherent Nonlinear Optics,” Feld, M. S. and Letokhov, V. S.,eds. Springer, Berlin.Google Scholar
  43. Levinson, Y.B., 1980, Zh. Eksp. Teor. Fiz. 79:1394, [Sov. Phys. JETP 52:704]. Also see Sol. State Comm. 36: 73.Google Scholar
  44. von der Linde, D., 1981, in: “Defects in Insulating Crystals,” Tuckevich, V.M. and Shvartz, eds., Springer, Berlin, pp. 542.Google Scholar
  45. Little, W., 1959, Can. J. Phys. 137:334.ADSCrossRefGoogle Scholar
  46. Maker,P.D. and Terhune, R. W.,1965, Phys. Rev. 137:A801.ADSCrossRefGoogle Scholar
  47. Maris, H.J., 1970, J. Acoust. Soc. Am. 50: 812.ADSCrossRefGoogle Scholar
  48. Martinon, C. and Weis, O., 1979, Z. Phys. B32: 259.ADSGoogle Scholar
  49. Niklasson G., 1972, Phys. kondens. Materie 14: 138.ADSGoogle Scholar
  50. O’Connor, J., 1972, Unpublished Ph.D. thesis submitted to Indiana University.Google Scholar
  51. Orbach, R. and Vredevoe, L. A., 1964, Physics 1: 91.Google Scholar
  52. Perrin,N. and Budd, H., 1972, Phys Rev. Lett. 28: 1701.ADSCrossRefGoogle Scholar
  53. Placzek, G., 1934, in: “Handbuck der Radiologie,” Marx, E., ed., Akademische Verlagsgesellschraft, Leipzig.Google Scholar
  54. Rhee, B.K., Bron, W.E., and Kuhl, J., to be published in the November 15, 1984 issue of Phys. Rev. B.Google Scholar
  55. Schaich, W.L., 1978, J. Phys. C 11: 4341.ADSCrossRefGoogle Scholar
  56. Schaich, W.L., 1984, Sol. State Comm. 49: 55.ADSCrossRefGoogle Scholar
  57. Schosser, C.L. and Dlott, D.D., 1984, submitted to the Physical Review.Google Scholar
  58. Timush, T. and Buchanan, M., 1967, Phys. Rev. 164: 345ADSCrossRefGoogle Scholar
  59. Tua, P. and Mahan, G., 1982, Phys. Rev. B 26:2208.ADSCrossRefGoogle Scholar
  60. Tucker, J.W. and Rampton, V.W., 1972, “Microwave Ultrasonics in Solid State Physics,” North Holland, Amsterdam.Google Scholar
  61. Wagner, M., 1968, Z. Phys. 214: 78.ADSCrossRefGoogle Scholar
  62. Weis, O., 1969, Z. Angew. Phys. 26:325. Wilson, T.E., Lurie, F.M., and Bron, W.E., to be published in the November 15, 1984 issue of Phys. Rev. B.Google Scholar
  63. Wilson, T.E. and Schaich, W.L., 1984, Sol. State Comm. 50: 3.ADSCrossRefGoogle Scholar
  64. Wong, J.Y.,Berggren, M. J., and Schawlow,A. L., 1968 J. Chem. Phys. 49: 835.ADSCrossRefGoogle Scholar
  65. Wynn,J. J.,1969, Phys. Rev. 178: 1295.ADSCrossRefGoogle Scholar
  66. Yablonovitch, E., Flytzanis, C., and Bloembergen, N., 1972, Phys. Rev. Lett. 29: 865.ADSCrossRefGoogle Scholar
  67. Ziman, J., 1960, “Electrons and Phonons,” Oxford Univ. Press, Oxford.MATHGoogle Scholar
  68. Zinth, W., Laubereau, A., and Kaiser, W., 1978, Opt. Comm. 26: 457ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • W. E. Bron
    • 1
  1. 1.Department of PhysicsIndiana UniversityBloomingtonUSA

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