Heat Conduction in two-dimensional harmonic crystal with disorder

Details Heat Conduction in two-dimensional harmonic crystal with disorder Heat Conduction in two-dimensional harmonic crystal with disorder

2004-10-04

arxiv.org/abs/cond-mat/0410067v2

Phys. Rev. Lett. 95, 094302 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Revised version. 4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.95.094302

We study the problem of heat conduction in a mass-disordered two-dimensional harmonic crystal. Using two different stochastic heat baths, we perform simulations to determine the system size (L) dependence of the heat current (J). For white noise heat baths we find that J ~ 1/L^a with $ a \approx 0.59 $ while correlated noise heat baths gives $ a \approx 0.51 $. A special case with correlated disorder is studied analytically and gives a=3/2 which agrees also with results from exact numerics.

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