Logarithmic scaling for height variables in the Abelian sandpile model

Details Logarithmic scaling for height variables in the Abelian sandpile model Logarithmic scaling for height variables in the Abelian sandpile model

2004-10-11

arxiv.org/abs/cond-mat/0410253v1

Phys.Lett. B607 (2005) 188-196

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures

Scientific paper

10.1016/j.physletb.2004.12.045

We report on the exact computation of the scaling form of the 1-point function, on the upper-half plane, of the height 2 variable in the two-dimensional Abelian sandpile model. By comparing the open versus the closed boundary condition, we find that the scaling field associated to the height 2 is a logarithmic scalar field of scaling dimension 2, belonging to a c=-2 logarithmic conformal field theory. This identification is confirmed by numerical simulations and extended to the height 3 and 4 variables, which exhibit the same scaling form. Using the conformal setting, we make precise proposals for the bulk 2-point functions of all height variables.

Affiliated with

Also associated with

No associations

Rating

Logarithmic scaling for height variables 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 Logarithmic scaling for height variables in the Abelian sandpile model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Logarithmic scaling for height variables in the Abelian sandpile model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714587