Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections

Details Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections

2007-02-06

arxiv.org/abs/cond-mat/0702145v1

Physics

Condensed Matter

Statistical Mechanics

Key words: Bootstrap percolation, anisotropy, finite-size effects

Scientific paper

10.1007/s10955-007-9377-y

In this note we analyze an anisotropic, two-dimensional bootstrap percolation
model introduced by Gravner and Griffeath. We present upper and lower bounds on
the finite-size effects. We discuss the similarities with the semi-oriented
model introduced by Duarte.

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