  In this paper, thermal transport in bond-disordered harmonic chains is
revisited in detail using a nonequilibrium Green's function formalism. For
strong bond disorder, thermal conductivity is independent of the system size.
However, kinetic temperatures described by the local number of states coupling
to external heat reservoirs are anomalous since they form a nonlinear profile
in the interior of the system. Both results are accounted for in a unified
manner in terms of the frequency-dependent localization length. From this
argument, we derive a generic formula describing the asymptotic profile of
local temperatures in a disordered harmonic chain. A linear temperature profile
obeying Fourier's law is recovered by contact with a self-consistent reservoir
of Ohmic type even in the limit of weak system-reservoir coupling. This
verifies that mechanisms leading to local thermal equilibrium and breaking
total momentum conservation are essential for Fourier transport in low
dimensions.
