Boundary conditions and defect lines in the Abelian sandpile model

Details Boundary conditions and defect lines in the Abelian sandpile model Boundary conditions and defect lines in the Abelian sandpile model

2003-10-25

arxiv.org/abs/cond-mat/0310605v2

Phys.Rev. E69 (2004) 051302

Physics

Condensed Matter

Other Condensed Matter

8 pages, 1 figure; suggestions from referees incorporated; to be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.69.051302

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.

Affiliated with

Also associated with

No associations

Rating

Boundary conditions and defect lines in the Abelian sandpile 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 Boundary conditions and defect lines in the Abelian sandpile model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary conditions and defect lines in the Abelian sandpile model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716517