Normal Heat Conductivity in a strongly pinned chain of anharmonic oscillators

Details Normal Heat Conductivity in a strongly pinned chain of anharmonic oscillators Normal Heat Conductivity in a strongly pinned chain of anharmonic oscillators

2005-07-24

arxiv.org/abs/cond-mat/0507560v4

Physics

Condensed Matter

Statistical Mechanics

Introduction and conclusion modified

Scientific paper

10.1088/1742-5468/2006/02/L02001

We consider a chain of coupled and strongly pinned anharmonic oscillators subject to a non-equilibrium random forcing. Assuming that the stationary state is approximately Gaussian, we first derive a stationary Boltzmann equation. By localizing the involved resonances, we next invert the linearized collision operator and compute the heat conductivity. In particular, we show that the Gaussian approximation yields a finite conductivity $\kappa\sim\frac{1}{\lambda^2T^2}$, for $\lambda$ the anharmonic coupling strength.

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