NUMERICAL DETERMINATION OF THE AVALANCHE EXPONENTS OF THE BAK-TANG-WIESENFELD MODEL

Authors
LUBECK S USADEL KD
Citation
S. Lubeck et Kd. Usadel, NUMERICAL DETERMINATION OF THE AVALANCHE EXPONENTS OF THE BAK-TANG-WIESENFELD MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(4), 1997, pp. 4095-4099
Citations number
20
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
4
Year of publication
1997
Pages
4095 - 4099
Database
ISI
SICI code
1063-651X(1997)55:4<4095:NDOTAE>2.0.ZU;2-F
Abstract
We consider the Bak-Tang-Wiesenfeld sandpile model on a two-dimensiona l square lattice of lattice sizes up to L=4096. A detailed analysis of the probability distribution of the size, area, duration, and radius of the avalanches will be given. To increase the accuracy of the deter mination of the avalanche exponents we introduce a new method for anal yzing the data which reduces the finite-size effects of the measuremen ts. The exponents of the avalanche distributions differ slightly from previous measurements and estimates obtained from a renormalization gr oup approach.