Density profiles in the raise and peel model with and without a wall. Physics and combinatorics
| dc.creator | Alcaraz, Francisco C. | |
| dc.creator | Pyatov, Pavel | |
| dc.creator | Rittenberg, Vladimir | |
| dc.date | 2007-09-28 | |
| dc.date | 2008-06-07 | |
| dc.date.accessioned | 2026-07-07T09:42:54Z | |
| dc.date.available | 2026-07-07T09:42:54Z | |
| dc.description | We consider the raise and peel model of a one-dimensional fluctuating interface in the presence of an attractive wall. The model can also describe a pair annihilation process in a disordered unquenched media with a source at one end of the system. For the stationary states, several density profiles are studied using Monte Carlo simulations. We point out a deep connection between some profiles seen in the presence of the wall and in its absence. Our results are discussed in the context of conformal invariance ($c = 0$ theory). We discover some unexpected values for the critical exponents, which were obtained using combinatorial methods. We have solved known (Pascal's hexagon) and new (split-hexagon) bilinear recurrence relations. The solutions of these equations are interesting on their own since they give information on certain classes of alternating sign matrices. | |
| dc.description | 39 pages, 28 figures | |
| dc.identifier | https://arxiv.org/abs/0709.4575 | |
| dc.identifier | http://arxiv.org/abs/0709.4575 | |
| dc.identifier | J. Stat. Mech. (2008) P01006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162357 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Density profiles in the raise and peel model with and without a wall. Physics and combinatorics | |
| dc.type | text |