On the anomalous thermal conductivity of one-dimensional lattices
Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany
2 Dipartimento di Fisica dell'Università - L.go E. Fermi 2, I-50125 Firenze, Italy
3 Istituto Nazionale di Ottica - L.go E. Fermi 6, I-50125 Firenze, Italy
Accepted: 8 June 1998
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.
PACS: 44.10.+i – Heat conduction (models, phenomenological description) / 05.60.+w – Transport processes: theory / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes
© EDP Sciences, 1998