Absorbing boundaries in the conserved Manna model
arXiv:0905.0757 · doi:10.1088/1742-5468/2009/07/P07021
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.
8 pages, 4 figures; v1 was changed by replacing the co-authors name "Lübeck" with "Lubeck" (metadata only)