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Can Disorder Induce a Finite Thermal Conductivity in 1D Lattices?

Can Disorder Induce a Finite Thermal Conductivity in 1D Lattices?

We study heat conduction in one dimensional mass disordered harmonic and anharmonic lattices. It is found that the thermal conductivity $\kappa$ of the disordered anharmonic lattice is finite at low temperature, whereas it diverges as $\kappa \sim N^{0.43}$ at high temperature. Moreover, we demonstrate that a unique nonequilibrium stationary state …