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Theory of Lattice Thermal Conductivity of Anharmonic Crystals with Impurities
Author(s) -
Altukhov V. I.
Publication year - 1974
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220640147
Subject(s) - anharmonicity , condensed matter physics , thermal conductivity , phonon , impurity , scattering , lattice (music) , phonon scattering , distribution function , materials science , physics , quantum mechanics , acoustics
Abstract The correlation function method (Kubo's formula) is used to investigate the lattice thermal conductivity of a disordered anharmonic crystal. It is shown that in the one‐particle approximation the thermal conductivity coefficient may be expressed by the dynamical Green's function. The latter is calculated for the anharmonic lattice containing a small amount of impurities with a random distribution. The theory suggested describes the simultaneous action of anharmonic and impurity mechanisms of the phonon scattering and may thus be used for the investigation of the interference of these scattering mechanisms.