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Thermal Conductivity of the Toda Lattice with Conservative Noise

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Date
2010
Link to item file
http://fr.arxiv.org/abs/0912.3416v1
Dewey
Probabilités et mathématiques appliquées
Sujet
Thermal conductivity; Toda lattice; Anomalous heat transport; Fourier’s law; Nonequilibrium systems
Journal issue
Journal of Statistical Physics
Volume
140
Number
2
Publication date
2010
Article pages
336-348
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s10955-010-9996-6
URI
https://basepub.dauphine.fr/handle/123456789/10487
Collections
  • CEREMADE : Publications
Metadata
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Author
Iacobucci, Alessandra
Legoll, Frédéric
Olla, Stefano
Stoltz, Gabriel
Type
Article accepté pour publication ou publié
Abstract (EN)
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 γ . We show that heat transport is anomalous, and that the thermal conductivity diverges with the length n of the chain according to κ(n) ∼ nα, with 0 < α ≤ 1/2. In particular, the ballistic heat conduction of the unperturbed Toda chain is destroyed. Besides, the exponent α of the divergence depends on γ .

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