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Can disorder induce a finite thermal conductivity in 1D lattices?

Baowen Li·Hong Zhao·Bambi Hu
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Abstract

We study heat conduction in one dimensional mass disordered harmonic and anharmonic lattices. It is found that the thermal conductivity $κ$ of the disordered anharmonic lattice is finite at low temperature, whereas it diverges as $κ\sim N^{0.43}$ at high temperature. Moreover, we demonstrate that a unique nonequilibrium stationary state in the disordered harmonic lattice does not exist at all.

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Baowen Li, Hong Zhao, Bambi Hu. 2001-06-21. Can disorder induce a finite thermal conductivity in 1D lattices?. https://doi.org/10.1103/physrevlett.86.63

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