On the boundedness of the eigenvalue spectrum of phonon collision operator |
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Authors: | GP Srivastava |
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Institution: | Physics Department, Banaras Hindu University, Varanasi-221005, India |
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Abstract: | Anharmonicity in lattice potential leads to boundedness of the eigenvalue Spectrum of the phonon collision operator. Considering the deviation, ψq, in the distribution function of the phonons . bar denoting equilibrium value, as an odd function of the phonon wave vector q it has been possible to obtain a lower bound, μ, on the eigenvalue spectrum of the phonon collision operator P. This satisfies the inequelity relation 0?μ?pi?λ, where pi are the eigenvalue of P, and λ is an upper bound on it (as given by Benin). The occurence of μ ensures for the possibility of obtaining a sequence of upper bounds on the lattice thermal transport coefficient. |
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