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Derivation and calculation of a sequence of lower‐bound results for lattice thermal conductivity
Author(s) -
Srivastava G. P.
Publication year - 1976
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.2220770111
Subject(s) - phonon , statistical weight , thermal conductivity , diagonal , upper and lower bounds , boltzmann equation , physics , debye model , debye , limit (mathematics) , lattice (music) , operator (biology) , mathematical analysis , mathematics , quantum mechanics , chemistry , geometry , biochemistry , acoustics , repressor , transcription factor , gene
Better variational lower bounds are derived as approximate solutions of a linearized Boltzmann equation for phonons. The role of the off‐diagonal part of the linearized phonon collision operator is considered in the frame of B displaced Planck distribution for phonons. A result derived here can be expressed in terms of the Debye term and the Ziman‐limit conductivity result‐showing that the Debye term is the “zeroth approximation” of that variational lower bound.