Are there really phase transitions in 1-d heat conduction models?
| dc.creator | Yang, Lei | |
| dc.creator | Grassberger, Peter | |
| dc.date | 2003-06-06 | |
| dc.date.accessioned | 2026-07-07T02:51:43Z | |
| dc.date.available | 2026-07-07T02:51:43Z | |
| dc.description | Recently, it has been claimed (O. V. Gendelman and A. V. Savin, Phys. Rev. Lett. {\bf 84}, 2381 (2000); A.V.Savin and O.V.Gendelman, arXiv: cond-mat/0204631 (2002)) that two nonlinear classical 1-d lattice models show transitions, at finite temperatures, where the heat conduction changes from being finite to being infinite. These are the well known Frenkel-Kontorova (FK) model and a model for coupled rotators. For the FK model we give strong theoretical arguments why such a phase transition is not to be expected. For both models we show numerically that the effects observed by Gendelman {\it et al.} are not true phase transitions but are rather the expected cross-overs associated to the conductivity divergence as $T\to 0$ and (for the FK model) $T\to\infty$. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0306173 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0306173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21567 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Materials Science | |
| dc.title | Are there really phase transitions in 1-d heat conduction models? | |
| dc.type | text |