Anomalous thermal properties of a harmonic chain with correlated isotopic disorder
Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo - Morelia, Mich., 58060, Mexico
2 Instituto de Física, Universidad Autónoma de Puebla - Apartado Postal J-48, Puebla, Pue., 72570, Mexico
Corresponding author: email@example.com
Accepted: 29 March 2010
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.
PACS: 44.10.+i – Heat conduction / 63.50.Gh – Vibrational states in disordered systems: Disordered crystalline alloys / 63.20.Pw – Localized modes
© EPLA, 2010