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.

arXiv commentInvited contribution to the Research Topic "Self-Organized Criticality, Three Decades Later" (Frontiers in Physics), 55 pages

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