Anomalous thermal properties of a harmonic chain with correlated isotopic disorder

Abstract

We analyse the thermal properties of a harmonic chain with weak correlated disorder. With the use of a perturbative approach we derive analytical expressions for the time-evolution of the chain temperature and of the heat flow when both ends of the chain are coupled to heat baths. Our analytical and numerical results demonstrate that specific long-range correlations of the isotopic disorder can suppress or enhance the vibrational modes in pre-defined frequency windows. In this way one can arrange a frequency-selective heat flow through disordered chains.

15 pages, 4 figures

References in corpus (5)

• Heat Transport in low-dimensional systems
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
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• Enhancement of localization in one-dimensional random potentials with long-range correlations
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Cited by in corpus (7)

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• Enhancement and reduction of one-dimensional heat conduction with correlated mass disorder
• Transport through quasi-one-dimensional wires with correlated disorder
• Heat conduction in systems with Kolmogorov-Arnold-Moser phase space structure
• Localization properties of harmonic chains with correlated mass and spring disorder: Analytical approach
• Aspects of the disordered harmonic chain
• Tunable phononic transparency and opacity with isotopic defects