Universality of anomalous one-dimensional heat conductivity

Year: 2003

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

Autors Affiliation: Istituto Nazionale di Fisica della Materia, UdR Firenze, G. Sansone 1, 50019, Sesto Fiorentino (FI), Italy;
Dipartimento di Fisica, Via G. Sansone 1, 50019, Sesto Fiorentino (FI), Italy;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;

Abstract: In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long-time correlation of the corresponding currents. The effective asymptotic behavior is addressed with reference to the problem of heat transport in one-dimensional crystals, modeled by chains of classical nonlinear oscillators. Extensive accurate equilibrium and nonequilibrium numerical simulations confirm that the finite-size thermal conductivity diverges with system size L as kα L α. However, the exponent alpha deviates systematically from the theoretical prediction alpha=1/3 proposed in a recent paper [O. Narayan and S. Ramaswamy, Phys. Rev. Lett. 89, 200601 (2002)].

Journal/Review: PHYSICAL REVIEW E

Volume: 68 (6)      Pages from: 67102-1  to: 67102-4

KeyWords: Thermal-conductivity; Transport; Lattice
DOI: 10.1103/PhysRevE.68.067102

Citations: 84
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