Sandpile models in the large
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.
- Publication:
-
Frontiers in Physics
- Pub Date:
- June 2021
- DOI:
- 10.3389/fphy.2021.641966
- arXiv:
- arXiv:2102.12508
- Bibcode:
- 2021FrP.....9...48R
- Keywords:
-
- Critical systems;
- Scaling limit;
- sandpile models;
- conformal field theory;
- Symplectic fermions;
- Condensed Matter - Statistical Mechanics;
- Mathematical Physics
- E-Print:
- Invited contribution to the Research Topic "Self-Organized Criticality, Three Decades Later" (Frontiers in Physics), 55 pages