Bodyfelt JDZheng MCFleischmann RKottos T4/02/20132013-02PHYSICAL REVIEW E, 2013, 87 (2)1539-3755https://hdl.handle.net/10179/7471We 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.Journal article10.1103/PhysRevE.87.0201011978231550-2376Massey_Dark01 Mathematical Sciences02 Physical Sciences09 Engineering