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Thermal Conductivity in Harmonic Lattices with Random Collisions

Basile, Giada; Bernardin, Cédric; Jara, Milton; Komorowski, Tomasz; Olla, Stefano (2016), Thermal Conductivity in Harmonic Lattices with Random Collisions, in Lepri, Stefano, Thermal Transport in Low Dimensions. From Statistical Physics to Nanoscale Heat Transfer, Springer International Publishing : Berlin, p. 215-237. 10.1007/978-3-319-29261-8_5

Type
Chapitre d'ouvrage
External document link
https://arxiv.org/abs/1509.02474v2
Date
2016
Book title
Thermal Transport in Low Dimensions. From Statistical Physics to Nanoscale Heat Transfer
Book author
Lepri, Stefano
Publisher
Springer International Publishing
Published in
Berlin
ISBN
978-3-319-29259-5
Pages
215-237
Publication identifier
10.1007/978-3-319-29261-8_5
Metadata
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Author(s)
Basile, Giada

Bernardin, Cédric

Jara, Milton

Komorowski, Tomasz

Olla, Stefano cc
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.
Subjects / Keywords
harmonic chains

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