Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk

Details Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk

2001-06-29

arxiv.org/abs/cond-mat/0106627v1

J. Phys. A 25 (1992) L127

Physics

Condensed Matter

Statistical Mechanics

Old paper, for archiving. 8 pages, 1 figure, epsf, IOP macro

Scientific paper

10.1088/0305-4470/25/3/008

The critical behaviour of directed self-avoiding walks is studied on parabolic-like systems with a free boundary at x=\pm Ct^\alpha. Using a scaling argument, 1/C is shown to be a marginal variable when \alpha=\nu_\perp/\nu_\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.

Affiliated with

Also associated with

No associations

Rating

Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-331186