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Thermodynamics of mesoscopic soft modes in strongly disturbed lattices

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  • Wagner, Max
  • Mougios, Theodor

Abstract

A generalized Lifshitz procedure is developed, which allows the evaluation of frequency densities in mesoscopically disturbed harmonic lattices. Archetypical examples are calculated explicitly. In particular it is shown that lattice softening at mesoscopically distant sites produces a low-frequency enhancement of the increase in mode density, which may be ascribed to the oscillation of mesoscopically large masses. Possible relevance for the anomalous low-temperature behaviour of amorphous systems is discussed.

Suggested Citation

  • Wagner, Max & Mougios, Theodor, 1990. "Thermodynamics of mesoscopic soft modes in strongly disturbed lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(2), pages 229-262.
    • Handle: RePEc:eee:phsmap:v:166:y:1990:i:2:p:229-262
    DOI: 10.1016/0378-4371(90)90015-K
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    1. Denos Gazis & Robert Herman & Alexei Maradudin, 1960. "The Problem of the Amber Signal Light in Traffic Flow," Operations Research, INFORMS, vol. 8(1), pages 112-132, February.
    2. Pohle, Wolfgang, 1971. "Direct investment as seen by German Industry," Intereconomics – Review of European Economic Policy (1966 - 1988), ZBW - Leibniz Information Centre for Economics, vol. 6(10), pages 314-317.
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    Cited by:

    1. Grimm, Markus & Wagner, Max, 1994. "Mode densities of defect lines in three-dimensional Montroll-Potts lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(1), pages 1-23.

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