Finite-size effects for anisotropic bootstrap percolation: Logarithmic corrections

Aernout C. D. van Enter; Tim Hulshof

doi:10.1007/s10955-007-9377-y

Finite-size effects for anisotropic bootstrap percolation: Logarithmic corrections

Aernout C. D. van Enter^*
, Tim Hulshof

^*Corresponding author for this work

Dynamical Systems, Geometry and Mathematical Physics

Research output: Contribution to journal › Article › Academic › peer-review

15 Citations (Scopus)

260 Downloads (Pure)

Abstract

In this note we analyse 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.

Original language	English
Pages (from-to)	1383-1389
Number of pages	7
Journal	Journal of Statistical Physics
Volume	128
Issue number	6
DOIs	https://doi.org/10.1007/s10955-007-9377-y
Publication status	Published - Sept-2007

Keywords

bootstrap percolation
cellular automaton
finite size effects
metastability
CELLULAR-AUTOMATA
GLASSY DYNAMICS
MODELS
THRESHOLD
BEHAVIOR
GROWTH

Access to Document

10.1007/s10955-007-9377-y

2007JStatPhysvEnter3.pdfFinal publisher's version, 260 KB

Handle.net

Persistent link

Cite this

@article{86ea9aefba454fdab8ab0093ee065c16,

title = "Finite-size effects for anisotropic bootstrap percolation: Logarithmic corrections",

abstract = "In this note we analyse 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.",

keywords = "bootstrap percolation, cellular automaton, finite size effects, metastability, CELLULAR-AUTOMATA, GLASSY DYNAMICS, MODELS, THRESHOLD, BEHAVIOR, GROWTH",

author = "\{van Enter\}, \{Aernout C. D.\} and Tim Hulshof",

note = "Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)",

year = "2007",

month = sep,

doi = "10.1007/s10955-007-9377-y",

language = "English",

volume = "128",

pages = "1383--1389",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "6",

}

TY - JOUR

T1 - Finite-size effects for anisotropic bootstrap percolation

T2 - Logarithmic corrections

AU - van Enter, Aernout C. D.

AU - Hulshof, Tim

N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)

PY - 2007/9

Y1 - 2007/9

N2 - In this note we analyse 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.

AB - In this note we analyse 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.

KW - bootstrap percolation

KW - cellular automaton

KW - finite size effects

KW - metastability

KW - CELLULAR-AUTOMATA

KW - GLASSY DYNAMICS

KW - MODELS

KW - THRESHOLD

KW - BEHAVIOR

KW - GROWTH

U2 - 10.1007/s10955-007-9377-y

DO - 10.1007/s10955-007-9377-y

M3 - Article

SN - 0022-4715

VL - 128

SP - 1383

EP - 1389

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 6

ER -

Finite-size effects for anisotropic bootstrap percolation: Logarithmic corrections

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Cite this