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arXiv · 2102.12508

Sandpile models in the large

Philippe Ruelle
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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.

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Philippe Ruelle. 2021-02-24. Sandpile models in the large. https://doi.org/10.3389/fphy.2021.641966

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