EFFECTS OF THE RELATIVE SCALES BETWEEN PARTICLES ADDED AND TOPPLED EACH TIME ON THE DISTRIBUTION OF AVALANCHE SIZE IN ABELIAN SANDPILES

Authors
CHAU HF HO C
Citation
Hf. Chau et C. Ho, EFFECTS OF THE RELATIVE SCALES BETWEEN PARTICLES ADDED AND TOPPLED EACH TIME ON THE DISTRIBUTION OF AVALANCHE SIZE IN ABELIAN SANDPILES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(1), 1994, pp. 902-905
Citations number
18
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
49
Issue
1
Year of publication
1994
Pages
902 - 905
Database
ISI
SICI code
1063-651X(1994)49:1<902:EOTRSB>2.0.ZU;2-L
Abstract
We study the distribution function of avalanche size, P-x(s), for a ge neral Abelian sandpile as a function of the number of particles x adde d each time. An exact piecewise Linear relation between various P-x is derived provided that the particles are added to one and only one sit e each time. This is then verified by numerical simulation. We find th at P-x(s) depends, but maybe not very strongly in general, on x. Thus x can be regarded as a fine-tune parameter for the Abelian sandpiles.