Finite thermal conductivity in 1D lattices

Year: 2000

Authors: Giardina C., Livi R., Politi A., Vassalli M.

Autors Affiliation: Dipartimento di Fisica, Universitą di Bologna, Via Irnerio 46, 40126 Bologna, Italy;
Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Bologna, Italy;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Dipartimento di Fisica, Universitą di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy;
Istituto Nazionale di Fisica della Materia, Unitą di Firenze, Firenze, Italy

Abstract: We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first example of a 1D nonlinear lattice exhibiting normal transport properties in the absence of an on-site potential. Numerical estimates obtained by simulating a chain in contact with two thermal baths at different temperatures are found to be consistent with those based on linear response theory. The dynamics of the Fourier modes provides direct evidence of energy diffusion. The finiteness of the conductivity is traced back to the occurrence of phase jumps. Our conclusions are confirmed by the analysis of two variants of this model.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 84 (10)      Pages from: 2144  to: 2147

KeyWords: Heat-conduction; Oscillators; Dynamics; Systems; Chains
DOI: 10.1103/PhysRevLett.84.2144

Citations: 215
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