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On the anomalous thermal conductivity of one-dimensional lattices

Stefano Lepri·Roberto Livi·Antonio Politi
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Abstract

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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Stefano Lepri, Roberto Livi, Antonio Politi. 1998-06-10. On the anomalous thermal conductivity of one-dimensional lattices. https://doi.org/10.1209/epl%2Fi1998-00352-3

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