Thermal Conductivity in Harmonic Lattices with Random Collisions

Basile, Giada; Bernardin, Cédric; Jara, Milton; Komorowski, Tomasz; Olla, Stefano

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

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