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
Dynamical real space renormalization group applied to sandpile models / E.V. Ivashkevich, A.M. Povolotsky, A. Vespignani, S. Zapperi. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 60:2(1999 Aug 01), pp. 1239-1251. [10.1103/PhysRevE.60.1239]
Dynamical real space renormalization group applied to sandpile models
S. Zapperi
1999
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 processFile | Dimensione | Formato | |
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