Role of pinning potentials in heat transport through disordered harmonic chain

Abstract

The role of quadratic onsite pinning potentials on determining the size (N) dependence of the disorder averaged steady state heat current <J>, in a isotopically disordered harmonic chain connected to stochastic heat baths, is investigated. For two models of heat baths, namely white noise baths and Rubin's model of baths, we find that the N dependence of <J> is the same and depends on the number of pinning centers present in the chain. In the absence of pinning, <J> ~ 1/N^{1/2} while in presence of one or two pins <J> ~ 1/N^{3/2}. For a finite (n) number of pinning centers with 2 <= n << N, we provide heuristic arguments and numerical evidence to show that <J> ~ 1/N^{n-1/2}. We discuss the relevance of our results in the context of recent experiments.

5 pages, 2 figures, quantum case is added in modified version

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• Localization of interacting fermions at high temperature
• Destruction of Anderson localization by a weak nonlinearity
• Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
• Heat transport in harmonic lattices
• Effect of phonon-phonon interactions on localization
• Heat transport in ordered harmonic lattices

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• Localization effects due to a random magnetic field on heat transport in a harmonic chain
• Heat transport through an open coupled scalar field theory hosting stability-to-instability transition
• Localization properties of harmonic chains with correlated mass and spring disorder: Analytical approach
• Aspects of the disordered harmonic chain