Displaced Distribution Functions for Three-Phonon Umklapp Processes

Y. P. Joshi; G. S. Verma

doi:10.1103/PhysRevB.3.331

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Displaced Distribution Functions for Three-Phonon Umklapp Processes

Y. P. Joshi^*

G. S. Verma

Physics Department, Allahabad, University, Allahabad, India

Physics Department, Banaras Hindu University, Varanasi, India

^*C.S.I.R. Junior Research Fellow.

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Phys. Rev. B 3, 331 – Published 15 January, 1971

DOI: https://doi.org/10.1103/PhysRevB.3.331

Abstract

It is shown that three-phonon umklapp processes tend to displaced Planck distributions that are characterized by the reciprocal-lattice vectors of the crystal.

References (7)

J. Callaway, Phys. Rev. 113, 1046 (1959)
J. Callaway and R. Boyd, Phys. Rev. 134, A1655 (1964)
P. G. Klemens, Encyclopedia of Physics (Springer, Berlin, 1956), Vol. 14, p. 198
P. G. Klemens, Solid State Physics (Academic, New York, 1958), Vol. 7, p. 31
J. M. Ziman, Electrons and Phonons (Oxford U. P., London, 1960), p. 135
J. Ranninger, Ann. Phys. (N. Y.) 49, 297 (1968)
A. A. Maradudin, in Phonons and Phonon Interactions, edited by Thor A. Bak (Benjamin, New York, 1964), pp. 466-499

[c1] J. Callaway, Phys. Rev. 113, 1046 (1959)

[c2] J. Callaway and R. Boyd, Phys. Rev. 134, A1655 (1964)

[c3] P. G. Klemens, Encyclopedia of Physics (Springer, Berlin, 1956), Vol. 14, p. 198

[c4] P. G. Klemens, Solid State Physics (Academic, New York, 1958), Vol. 7, p. 31

[c5] J. M. Ziman, Electrons and Phonons (Oxford U. P., London, 1960), p. 135

[c6] J. Ranninger, Ann. Phys. (N. Y.) 49, 297 (1968)

[c7] A. A. Maradudin, in Phonons and Phonon Interactions, edited by Thor A. Bak (Benjamin, New York, 1964), pp. 466-499

Physical Review B

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Displaced Distribution Functions for Three-Phonon Umklapp Processes

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References (7)

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