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.

arXiv comment15 pages, 4 figures

References in corpus (13)

• Thermal conduction in classical low-dimensional lattices
• Heat Transport in low-dimensional systems
• Localization and Mobility Edge in One-Dimensional Potentials with Correlated Disorder
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Experimental evidence of delocalized states in random dimer superlattices
• Experimental observation of the mobility edge in a waveguide with correlated disorder
• Mobility Edge in Aperiodic Kronig-Penney Potentials with Correlated Disorder: Perturbative Approach
• One-dimensional Anderson localization in certain correlated random potentials
• Enhancement of localization in one-dimensional random potentials with long-range correlations
• Delocalization in harmonic chains with long-range correlated random masses
• Anomalous transport in low-dimensional systems with correlated disorder
• Scaling in the one-dimensional Anderson localization problem in the region of fluctuation states
• Delocalisation transition in quasi-1D models with correlated disorder

Cited by in corpus (9)

• Fast and slow thermal processes in harmonic scalar lattices
• Localization in one-dimensional chains with Lévy-type disorder
• 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
• Entropic analysis of the localization-delocalization transition in a one-dimensional correlated lattice
• Aspects of the disordered harmonic chain
• Tunable phononic transparency and opacity with isotopic defects