Dynamically Driven Renormalization Group Applied to Sandpile Models
arXiv:cond-mat/9802205 · doi:10.1103/PhysRevE.60.1239
Abstract
The 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.
18 RevTeX pages, 5 figures
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