Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections
arXiv:cond-mat/0702145 · doi:10.1007/s10955-007-9377-y
Abstract
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.
Key words: Bootstrap percolation, anisotropy, finite-size effects
References in corpus (5)
- Glassy dynamics of kinetically constrained models
- Jamming Percolation and Glass Transitions in Lattice Models
- Hysteresis in the Random Field Ising Model and Bootstrap Percolation
- Cooperative Behavior of Kinetically Constrained Lattice Gas Models of Glassy Dynamics
- Clarification of the Bootstrap Percolation Paradox