Abstract

A general framework for the renormalization group analysis of self-organized critical sandpile models is formulated. The usual real space renormalization scheme for lattice models when applied to nonequilibrium dynamical models must be supplemented by feedback relations coming from the stationarity conditions. On the basis of these ideas the dynamically driven renormalization group is applied to describe the boundary and bulk critical behavior of sandpile models. A detailed description of the branching nature of sandpile avalanches is given in terms of the generating functions of the underlying branching process.

Notes

Originally published in Physical Review E, v.60 no.2 (1999), pp.1239-1251. DOI:10.1103/PhysRevE.60.1239. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.

Keywords

sandpile models, nonequilibrium dynamical models, lattice models, branching

Subject Categories

Renormalization (Physics)

Disciplines

Physics

Publisher

American Physical Society

Publication Date

8-1-1999

Rights Information

©1999 American Physical Society

Rights Holder

American Physical Society

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