| Автор | Alcaraz, Francisco C |
| Автор | Rittenberg, Vladimir |
| Дата выпуска | 2010-12-01 |
| dc.description | We present a one-parameter extension of the raise and peel one-dimensional growth model. The model is defined in the configuration space of Dyck (RSOS) paths. Tiles from a rarefied gas hit the interface and change its shape. The adsorption rates are local but the desorption rates are non-local; they depend not only on the cluster hit by the tile but also on the total number of peaks (local maxima) belonging to all the clusters of the configuration. The domain of the parameter is determined by the condition that the rates are non-negative. In the finite-size scaling limit, the model is conformal invariant in the whole open domain. The parameter appears in the sound velocity only. At the boundary of the domain, the stationary state is an adsorbing state and conformal invariance is lost. The model allows us to check the universality of non-local observables in the raise and peel model. An example is given. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | IOP Publishing Ltd |
| Название | A conformal invariant growth model |
| Тип | paper |
| DOI | 10.1088/1742-5468/2010/12/P12032 |
| Electronic ISSN | 1742-5468 |
| Журнал | Journal of Statistical Mechanics: Theory and Experiment |
| Том | 2010 |
| Первая страница | P12032 |
| Последняя страница | 10 |
| Аффилиация | Alcaraz, Francisco C; Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-590, São Carlos, SP, Brazil |
| Аффилиация | Rittenberg, Vladimir; Physikalisches Institut, Universität Bonn, Nussallee 12, 53115 Bonn, Germany ; Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3010, Australia |
| Выпуск | 12 |
