Absorbing boundaries in the conserved Manna model

J. Stat. Mech. (2009) 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 ex...

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Bibliographic Details
Main Authors:	Hipke, Arthur, Lubeck, Sven, Hinrichsen, Haye
Format:	Journal Article
Language:	English
Published:	16-07-2009
Subjects:	Physics - Statistical Mechanics
Online Access:	Get full text
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Summary:	J. Stat. Mech. (2009) 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.
DOI:	10.48550/arxiv.0905.0757