Browsing by Author "Fleischmann R"

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    Scaling theory of heat transport in quasi-one-dimensional disordered harmonic chains.
    (2013-02) Bodyfelt JD; Zheng MC; Fleischmann R; Kottos T
    We introduce a variant of the banded random matrix ensemble and show, using detailed numerical analysis and theoretical arguments, that the phonon heat current in disordered quasi-one-dimensional lattices obeys a one-parameter scaling law. The resulting β function indicates that an anomalous Fourier law is applicable in the diffusive regime, while in the localization regime the heat current decays exponentially with the sample size. Our approach opens a new way to investigate the effects of Anderson localization in heat conduction based on the powerful ideas of scaling theory.