|
Archivo Abierto Institucional de la Universidad Carlos III de Madrid >
Investigación >
Departamentos >
Departamento de Matemáticas >
Grupo Interdisciplinar de Sistemas Complejos (GISC) >
DM - GISC - Artículos de Revistas >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/14948
|
| Title: | A theorem on the absence of phase transitions in one-dimensional growth models with on-site periodic potentials |
| Author(s): | Cuesta, José A.
Sánchez, Angel |
| Publisher: | Institute of Physics |
| Issued date: | 15-Mar-2002 |
| Citation: | Journal of Physics A: Mathematical and General, vol. 35, n. 10, 15 march 2002. Pp. 2373-2377 |
| URI: | http://hdl.handle.net/10016/14948 |
| ISSN: | 1751-8113 (print version)
1751-8121 (online version) |
| DOI: | 10.1088/0305-4470/35/10/303 |
| Description: | Actaulmente la revista tiene el nombre de: Journal of Physics A: Mathematical and Theoretical |
| Abstract: | We rigorously prove that a wide class of one-dimensional growth models with on-site periodic potential, such as the discrete sine-Gordon model, have no phase transition at any temperature T > 0. The proof relies on the spectral analysis of the transfer operator associated with the models. We show that this operator is Hilbert–Schmidt and that its maximum eigenvalue is an analytical function of temperature. |
| Sponsor: | This work was supported by the Direcci´on de Ciencia y Tecnolog´ıa of the Ministerio de Ciencia y Tecnolog´ıa of Spain, through projects BFM2000-0004 (JAC) and BFM2000-0006 (AS). |
| Publisher version: | http://dx.doi.org/10.1088/0305-4470/35/10/303 |
| Appears in Collections: | DM - GISC - Artículos de Revistas
|
This item is licensed under a Creative Commons License
Items in E-Archivo are protected by copyright, with all rights reserved, unless otherwise indicated.
|
