Boundary conditions and defect lines in the Abelian sandpile model
Other Condensed Matter
2009-11-10 v2
Abstract
We add a defect line of dissipation, or crack, to the Abelian sandpile model. We find that the defect line renormalizes to separate the two-dimensional plane into two half planes with open boundary conditions. We also show that varying the amount of dissipation at a boundary of the Abelian sandpile model does not affect the universality class of the boundary condition. We demonstrate that a universal coefficient associated with height probabilities near the defect can be used to classify boundary conditions.
Keywords
Cite
@article{arxiv.cond-mat/0310605,
title = {Boundary conditions and defect lines in the Abelian sandpile model},
author = {Monwhea Jeng},
journal= {arXiv preprint arXiv:cond-mat/0310605},
year = {2009}
}
Comments
8 pages, 1 figure; suggestions from referees incorporated; to be published in Phys. Rev. E