Absorbing boundaries in the conserved Manna model
Statistical Mechanics
2009-07-16 v2
Abstract
The conserved Manna model with a planar absorbing boundary is studied in various space dimensions. We present a heuristic argument that allows one to compute the surface critical exponent in one dimension analytically. Moreover, we discuss the mean field limit that is expected to be valid in d>4 space dimensions and demonstrate how the corresponding partial differential equations can be solved.
Cite
@article{arxiv.0905.0757,
title = {Absorbing boundaries in the conserved Manna model},
author = {Arthur Hipke and Sven Lubeck and Haye Hinrichsen},
journal= {arXiv preprint arXiv:0905.0757},
year = {2009}
}
Comments
8 pages, 4 figures; v1 was changed by replacing the co-authors name "L\"ubeck" with "Lubeck" (metadata only)