Conserved sandpile with a variable height restriction
Abstract
We study a restricted-height version of the one-dimensional Oslo sandpile with conserved density, using periodic boundary conditions. Each site has a limiting height which can be either two or three. When a site reaches its limiting height it becomes active and may topple, loosing two particles, which move randomly to nearest-neighbor sites. After a site topples it is randomly assigned a new limiting height. We study the model using mean-field theory and Monte Carlo simulation, focusing on the quasi-stationary state, in which the number of active sites fluctuates about a stationary value. Using finite-size scaling analysis, we determine the critical particle density and associated critical exponents.
Keywords
Cite
@article{arxiv.1212.2595,
title = {Conserved sandpile with a variable height restriction},
author = {Vanuildo Silva de Carvalho and Alvaro de Almeida Caparica and Ronald Dickman},
journal= {arXiv preprint arXiv:1212.2595},
year = {2015}
}
Comments
13 pages, 6 figures The paper will appear in Volume 43 of the Brazilian Journal of Physics