Thermal Conductivity for a Momentum Conserving Model
| dc.creator | Basile, Giada | |
| dc.creator | Bernardin, Cedric | |
| dc.creator | Olla, Stefano | |
| dc.date | 2006-01-24 | |
| dc.date | 2008-08-02 | |
| dc.date.accessioned | 2026-07-07T12:48:47Z | |
| dc.date.available | 2026-07-07T12:48:47Z | |
| dc.description | We introduce a model whose thermal conductivity diverges in dimension 1 and 2, while it remains finite in dimension 3. We consider a system of oscillators perturbed by a stochastic dynamics conserving momentum and energy. We compute thermal conductivity via Green-Kubo formula. In the harmonic case we compute the current-current time correlation function, that decay like $t^{-d/2}$ in the unpinned case and like $t^{-d/2-1}$ if a on-site harmonic potential is present. This implies a finite conductivity in $d\ge 3$ or in pinned cases, and we compute it explicitly. For general anharmonic strictly convex interactions we prove some upper bounds for the conductivity that behave qualitatively as in the harmonic cases. | |
| dc.description | Accepted for the publication in Communications in Mathematical Physics | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0601544 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0601544 | |
| dc.identifier | Communications in Mathematical Physics 287, 1 (2009) 67-98 | |
| dc.identifier | doi:10.1007/s00220-008-0662-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222174 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Probability | |
| dc.title | Thermal Conductivity for a Momentum Conserving Model | |
| dc.type | text |