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
External document linkhttps://arxiv.org/abs/1509.02474v2
Book titleThermal Transport in Low Dimensions. From Statistical Physics to Nanoscale Heat Transfer
Book authorLepri, Stefano
MetadataShow full item record
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 / Keywordsharmonic chains
Showing items related by title and author.
Macroscopic evolution of mechanical and thermal energy in a harmonic chain with random flip of velocities Olla, Stefano; Simon, Marielle; Komorowski, Tomasz (2018) Article accepté pour publication ou publié