Sandpile model on a quenched substrate generated by kinetic self-avoiding trails
Statistical Mechanics
2009-11-11 v1
Abstract
Kinetic self-avoiding trails are introduced and used to generate a substrate of randomly quenched flow vectors. Sandpile model is studied on such a substrate with asymmetric toppling matrices where the precise balance between the net outflow of grains from a toppling site and the total inflow of grains to the same site when all its neighbors topple once is maintained at all sites. Within numerical accuracy this model behaves in the same way as the multiscaling BTW model.
Cite
@article{arxiv.cond-mat/0501070,
title = {Sandpile model on a quenched substrate generated by kinetic self-avoiding trails},
author = {R. Karmakar and S. S. Manna},
journal= {arXiv preprint arXiv:cond-mat/0501070},
year = {2009}
}
Comments
Four pages, five figures