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A central limit theorem for the disordered harmonic chain
Authors:A. J. O'Connor
Affiliation:(1) Faculty of Mathematics, Open University, Walton Hall, MK7 6AA Milton Keynes, England
Abstract:Using methods introduced by Furstenberg and Tutubalin we prove a central limit theorem for the amplitudes of plane waves travelling in a semi-infinite isotopically disordered harmonic chain. This theorem is applied to the problem of heat conduction in disordered harmonic chains.
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