Dynamically Driven Renormalization Group Applied to Sandpile Models

Details Dynamically Driven Renormalization Group Applied to Sandpile Models Dynamically Driven Renormalization Group Applied to Sandpile Models

1998-02-19

arxiv.org/abs/cond-mat/9802205v1

Physics

Condensed Matter

Statistical Mechanics

18 RevTeX pages, 5 figures

Scientific paper

10.1103/PhysRevE.60.1239

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.

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