A STOCHASTIC-MODEL FOR GROWING SANDPILES AND ITS CONTINUUM-LIMIT

Authors
EVANS LC REZAKHANLOU F
Citation
Lc. Evans et F. Rezakhanlou, A STOCHASTIC-MODEL FOR GROWING SANDPILES AND ITS CONTINUUM-LIMIT, Communications in Mathematical Physics, 197(2), 1998, pp. 325-345
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
197
Issue
2
Year of publication
1998
Pages
325 - 345
Database
ISI
SICI code
0010-3616(1998)197:2<325:ASFGSA>2.0.ZU;2-7
Abstract
We study a stochastic model for the sandpile growth. The height of the sandpile above every site of a d-dimensional lattice is denoted by an integer. The height changes randomly and after a suitable scaling of the time and space, we show that the rescaled height converges to a de terministic function. The limit is governed by a nonlinear evolution e quation.