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Free energy of a randomly disordered harmonic lattice using the replica trick

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Zeitschrift für Physik B Condensed Matter

Abstract

The free energy of a lattice dynamical system with random isotopic mass disorder has been obtained employing the replica trick. In the high temperature limit, the expression for the free energy correction reduces to that obtained by Weiss and Maradudin for a linear chain with small mass difference and impurity concentration; in the low temperature limit the expression differ. The merit of the method in incorporating configurational fluctuation effects is discussed.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität zu Köln, Zülpicher Strasse 77, D-5000, Köln, Federal Republic of Germany

    B. K. Chakrabarti

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  1. B. K. Chakrabarti
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This work has been supported by the Deutsche Forschungsgemeinschaft through SFB 125, Aachen-Jülich-Köln

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Chakrabarti, B.K. Free energy of a randomly disordered harmonic lattice using the replica trick. Z. Physik B - Condensed Matter 43, 1–4 (1981). https://doi.org/10.1007/BF01295468

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  • DOI: https://doi.org/10.1007/BF01295468

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