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

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

2001-06-21

arxiv.org/abs/cond-mat/0106422v1

Phys. Rev. Lett. 86 (2001) 63-66

Physics

Condensed Matter

Statistical Mechanics

4 pages with 4 eps figures

Scientific paper

10.1103/PhysRevLett.86.63

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 in the disordered harmonic lattice does not exist at all.

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