Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk
| dc.creator | Turban, L. | |
| dc.date | 2001-06-29 | |
| dc.date.accessioned | 2026-07-07T02:41:57Z | |
| dc.date.available | 2026-07-07T02:41:57Z | |
| dc.description | The critical behaviour of directed self-avoiding walks is studied on parabolic-like systems with a free boundary at x=\pm Ct^α. Using a scaling argument, 1/C is shown to be a marginal variable when α=ν_\perp/ν_\parallel=1/2, i.e., on a parabola. As a consequence the directed walk may display varying local exponents. Such a behaviour is indeed observed for restricted walks. This generalizes a result of Cardy showing that nonuniversal behaviour occurs at corners for isotropic systems. | |
| dc.description | Old paper, for archiving. 8 pages, 1 figure, epsf, IOP macro | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0106627 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0106627 | |
| dc.identifier | J. Phys. A 25 (1992) L127 | |
| dc.identifier | doi:10.1088/0305-4470/25/3/008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17950 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk | |
| dc.type | text |