Calculations of anharmonic phonon relaxation times

Anharmonic phonon relaxation times in Ge are calculated using (i) an isotropic continuum model, and (ii) a dispersive model. A complete spectrum of calculated results is presented. Frequency-averaged values for normal- and umklapp-three-phonon relaxation times are also calculated. A comparison is made between our findings and some earlier works, and disagreements are discussed. The results are applied in calculating some results in the theory of lattice thermal conductivity.

[1]  J. Parrott.  Generalization of the callaway thermal conductivity equation , 1971 .

[2]  P. G. Klemens,et al.  Decay of High‐Frequency Longitudinal Phonons , 1967 .

[3]  Paul G. Klemens,et al.  Thermal conductivity of solids , 1977 .

[4]  E. F. Steigmeier,et al.  Acoustical-Optical Phonon Scattering in Ge, Si, and III-V Compounds , 1966 .

[5]  G. A. Slack,et al.  Thermal Conductivity of Silicon and Germanium from 3°K to the Melting Point , 1964 .

[6]  J. Ziman,et al.  In: Electrons and Phonons , 1961 .

[7]  G. P. Srivastava.  Anharmonic relaxation of phonons , 1974 .

[8]  G. P. Srivastava.  Complementary variational principles for lattice thermal conductivity , 1975 .

[9]  G. Brown.  Many-body problems , 1972 .

[10]  C. Herring.  Role of Low-Energy Phonons in Thermal Conduction , 1954 .

[11]  P. Klemens,et al.  The thermal conductivity of dielectric solids at low temperatures (Theoretical) , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[12]  J. Parrott.  The High Temperature Thermal Conductivity of Semiconductor Alloys , 1963 .

[13]  P. Carruthers,et al.  Theory of Thermal Conductivity of Solids at Low Temperatures , 1961 .

[14]  末宗 康孝.  J.E.Parrott and A.D.Stuckes, Thermal Conductivity of Solids, Pion, London, 1975, x+157ページ, 23.5×16cm, 3,150円 , 1976 .

[15]  H. Jackson,et al.  Thermal Conductivity, Second Sound, and Phonon-Phonon Interactions in NaF , 1971 .

[16]  O. Johansen.  Thermal Conductivity of Soils , 1977 .

[17]  G. Verma,et al.  Three-Phonon Scattering and Guthrie's Limits for Its Temperature Dependence , 1971 .

[18]  J. Callaway.  Model for Lattice Thermal Conductivity at Low Temperatures , 1959 .

[19]  G. P. Srivastava,et al.  Temperature dependence of the bounds on thermal resistance due to U-process , 1971 .

[20]  Paul G. Klemens,et al.  Thermal Conductivity of Complex Dielectric Crystals , 1973 .

[21]  D. Benin,et al.  Improved Variational Principles for Transport Coefficients , 1970 .