Anomalous energy transport in the FPU-beta chain
| dc.creator | Lukkarinen, Jani | |
| dc.creator | Spohn, Herbert | |
| dc.date | 2007-04-12 | |
| dc.date.accessioned | 2026-07-07T10:07:34Z | |
| dc.date.available | 2026-07-07T10:07:34Z | |
| dc.description | We consider the energy current correlation function for the FPU-beta lattice. For small non-linearity one can rely on kinetic theory. The issue reduces then to a spectral analysis of the linearized collision operator. We prove thereby that, on the basis of kinetic theory, the energy current correlations decay in time as t^(-3/5). It follows that the thermal conductivity is anomalous, increasing as N^(2/5) with the system size N. | |
| dc.description | 33 pages, 2 EPS figures | |
| dc.identifier | https://arxiv.org/abs/0704.1607 | |
| dc.identifier | http://arxiv.org/abs/0704.1607 | |
| dc.identifier | Comm. Pure Appl. Math. 61 (2008) 1753-1786 | |
| dc.identifier | doi:10.1002/cpa.20243 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170682 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 80A20; 74A25; 82C21; 46N55 | |
| dc.title | Anomalous energy transport in the FPU-beta chain | |
| dc.type | text |