Sandpile models in the large
Statistical Mechanics
2023-08-25 v1 Mathematical Physics
math.MP
Abstract
This contribution is a review of the deep and powerful connection between the large scale properties of critical systems and their description in terms of a field theory. Although largely applicable to many other models, the details of this connection are illustrated in the class of two-dimensional Abelian sandpile models. Bulk and boundary height variables, spanning tree related observables, boundary conditions and dissipation are all discussed in this context and found to have a proper match in the field theoretic description.
Cite
@article{arxiv.2102.12508,
title = {Sandpile models in the large},
author = {Philippe Ruelle},
journal= {arXiv preprint arXiv:2102.12508},
year = {2023}
}
Comments
Invited contribution to the Research Topic "Self-Organized Criticality, Three Decades Later" (Frontiers in Physics), 55 pages