Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 140, Issue 2, Pages 336-348Publisher
SPRINGER
DOI: 10.1007/s10955-010-9996-6
Keywords
Thermal conductivity; Toda lattice; Anomalous heat transport; Fourier's law; Nonequilibrium systems
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Funding
- Agence Nationale de la Recherche [ANR-09-BLAN-0216-01, ANR-07-BLAN-2-184264]
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We study the thermal conductivity of the one dimensional Toda lattice perturbed by a stochastic dynamics preserving energy and momentum. The strength of the stochastic noise is controlled by a parameter gamma. We show that heat transport is anomalous, and that the thermal conductivity diverges with the length n of the chain according to kappa(n)similar to n (alpha) , with 0
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