For strong power-law disorder and strong bath mismatch, the thermal conductance of a one-dimensional harmonic chain scales as L^{-1}, and the conductance follows a universal curve in terms of the ratio of the localization cutoff frequency to temperature.
Xu, Theoretical and Applied Mechanics Letters 6, 113 (2016)
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Thermal conductance of one dimensional disordered harmonic chains
For strong power-law disorder and strong bath mismatch, the thermal conductance of a one-dimensional harmonic chain scales as L^{-1}, and the conductance follows a universal curve in terms of the ratio of the localization cutoff frequency to temperature.