On the anomalous thermal conductivity of one-dimensional lattices

Year: 1998

Authors: Lepri S., Livi R., Politi A.

Autors Affiliation: Max Planck Institut für Physik Koplexer Systeme Nöthnitzer Str. 38, D-01187 Dresden, Germany;
Dipartimento di Fisica, Università di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy; Istituto Nazionale di Fisica della Materia, Unità di Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Italy

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 nonequilibrium 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.

Journal/Review: EPL

Volume: 43 (3)      Pages from: 271  to: 276

KeyWords: one-dimensional lattices
DOI: 10.1209/epl/i1998-00352-3

Citations: 213
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