MEAN-FIELD THEORY OF SANDPILES

Authors
VERGELES M MARITAN A BANAVAR JR
Citation
M. Vergeles et al., MEAN-FIELD THEORY OF SANDPILES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(2), 1997, pp. 1998-2000
Citations number
17
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
2
Year of publication
1997
Pages
1998 - 2000
Database
ISI
SICI code
1063-651X(1997)55:2<1998:MTOS>2.0.ZU;2-Q
Abstract
We propose a mean-field theory of sandpiles with dissipation introduce d in a clear and physical way. We obtain all exponents for our model b y constructing a master equation and mapping the model into a branchin g process. Two of the exponents are found to depend on a parameter rel ating the rate of dissipation to that of the addition of sand grains t o the system, whereas the others are universal.