A central limit theorem for the disordered harmonic chain |
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Authors: | A. J. O'Connor |
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Affiliation: | (1) Faculty of Mathematics, Open University, Walton Hall, MK7 6AA Milton Keynes, England |
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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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