Articoli in riviste
|Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk|
|Journal of Physics A: Mathematical and General 25 (1992) L127|
|DOI : 10.1088/0305-4470/25/3/008|
|ArXiv : cond-mat/0106627 [PDF]|
|HAL : hal-00107466|
The critical behaviour of directed self-avoiding walks is studied on parabolic-like systems with a free boundary at x=+or-Ctalpha . Using a scaling argument, 1/C is shown to be a marginal variable when alpha =vperpendicular to /v//=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 (1983) showing that non-universal behaviour occurs at corners for isotropic systems.