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Thermal Conductivity in Harmonic Lattices with Random Collisions

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Date
2016
Notes
Lecture Notes in Physics n°921
Link to item file
https://arxiv.org/abs/1509.02474v2
Dewey
Sciences connexes (physique, astrophysique)
Sujet
harmonic chains
DOI
http://dx.doi.org/10.1007/978-3-319-29261-8_5
Book title
Thermal Transport in Low Dimensions. From Statistical Physics to Nanoscale Heat Transfer
Author
Lepri, Stefano
Publisher
Springer International Publishing
Publisher city
Berlin
Year
2016
ISBN
978-3-319-29259-5
Book URL
10.1007/978-3-319-29261-8
URI
https://basepub.dauphine.fr/handle/123456789/16365
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Basile, Giada
Bernardin, Cédric
Jara, Milton
Komorowski, Tomasz
Olla, Stefano
Type
Chapitre d'ouvrage
Item number of pages
215-237
Abstract (EN)
We review recent rigorous mathematical results about the macroscopic behaviour of harmonic chains with the dynamics perturbed by a random exchange of velocities between nearest neighbor particles. The random exchange models the effects of nonlinearities of anharmonic chains and the resulting dynamics have similar macroscopic behaviour. In particular there is a superdiffusion of energy for unpinned acoustic chains. The corresponding evolution of the temperature profile is governed by a fractional heat equation. In non-acoustic chains we have normal diffusivity, even if momentum is conserved.

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