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.
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
Permanent URL
Recommended Citation
Ivashkevich, E V.; Povolotsky, A M.; Vespignani, A; and Zapperi, S, "Dynamical real space renormalization group applied to sandpile models" (1999). Physics Faculty Publications. Paper 208. http://hdl.handle.net/2047/d20002168
Click button above to open, or right-click to save.
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.