Modified renormalization strategy for sandpile models

Citation
Y. Moreno et al., Modified renormalization strategy for sandpile models, PHYS REV E, 60(6), 1999, pp. 7565-7568
Citations number
19
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
6
Year of publication
1999
Part
B
Pages
7565 - 7568
Database
ISI
SICI code
1063-651X(199912)60:6<7565:MRSFSM>2.0.ZU;2-3
Abstract
Following the renormalization-group scheme recently developed by Pietronero et al. [Phys. Rev. Lett. 72, 1690 (1994)] we introduce a simplifying strat egy for the renormalization of the relaxation dynamics of sandpile models. In our scheme, five subcells at a generic scale b form the renormalized cel l at the next larger scale. Now the fixed point has a unique nonzero dynami cal component that allows for a great simplification in the computation of the critical exponent z. The values obtained are in goad agreement with bot h numerical and theoretical results previously reported. [S1063-651X(99)061 12-7].