On the anomalous thermal conductivity of one-dimensional lattices

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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5 pages, 3 figures, to appear in Europhysics Letters

Scientific paper

10.1209/epl/i1998-00352-3

The divergence of the thermal conductivity in the thermodynamic limit is thoroughly investigated. The divergence law is consistently determined with two different numerical approaches based on equilibrium and non-equilibrium simulations. A possible explanation in the framework of linear-response theory is also presented, which traces back the physical origin of this anomaly to the slow diffusion of the energy of long-wavelength Fourier modes. Finally, the results of dynamical simulations are compared with the predictions of mode-coupling theory.

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