Absorbing boundaries in the conserved Manna model

Details Absorbing boundaries in the conserved Manna model Absorbing boundaries in the conserved Manna model

2009-05-06

arxiv.org/abs/0905.0757v2

J. Stat. Mech. (2009) P07021

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures; v1 was changed by replacing the co-authors name "L\"ubeck" with "Lubeck" (metadata only)

Scientific paper

10.1088/1742-5468/2009/07/P07021

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.

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