Monte Carlo study of the hull distribution for the q=1 Brauer model

Details Monte Carlo study of the hull distribution for the q=1 Brauer model Monte Carlo study of the hull distribution for the q=1 Brauer model

2006-06-14

arxiv.org/abs/cond-mat/0606370v1

J. Stat. Mech. (2006) P08004

Physics

Condensed Matter

Statistical Mechanics

21 pages, 9 figures

Scientific paper

10.1088/1742-5468/2006/08/P08004

We study a special case of the Brauer model in which every path of the model has weight q=1. The model has been studied before as a solvable lattice model and can be viewed as a Lorentz lattice gas. The paths of the model are also called self-avoiding trails. We consider the model in a triangle with boundary conditions such that one of the trails must cross the triangle from a corner to the opposite side. Motivated by similarities between this model, SLE(6) and critical percolation, we investigate the distribution of the hull generated by this trail (the set of points on or surrounded by the trail) up to the hitting time of the side of the triangle opposite the starting point. Our Monte Carlo results are consistent with the hypothesis that for system size tending to infinity, the hull distribution is the same as that of a Brownian motion with perpendicular reflection on the boundary.

Affiliated with

Also associated with

No associations

Rating

Monte Carlo study of the hull distribution for the q=1 Brauer model 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 Monte Carlo study of the hull distribution for the q=1 Brauer model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monte Carlo study of the hull distribution for the q=1 Brauer model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-196826