title: Resistor-network anomalies in the heat transport of random harmonic chains.
abstract: We consider thermal transport in low-dimensional disordered harmonic networks of coupled masses. Utilizing known results regarding Anderson localization, we derive the actual dependence of the thermal conductance G on the length L of the sample. This is required by nanotechnology implementations because for such networks Fourier's law G∝1/L^{α} with α=1 is violated. In particular we consider "glassy" disorder in the coupling constants and find an anomaly which is related by duality to the Lifshitz-tail regime in the standard Anderson model.
authors.affiliation: Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
authors.forename: Isaac
authors.initials: I
authors.lastname: Weinberg
authors.affiliation: Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
authors.forename: Yaron
authors.initials: Y
authors.lastname: de Leeuw
authors.affiliation: Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA.|Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459, USA.
authors.forename: Tsampikos
authors.initials: T
authors.lastname: Kottos
authors.affiliation: Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
authors.forename: Doron
authors.initials: D
authors.lastname: Cohen