Publication

Finite-Size Effects for Some Bootstrap Percolation Models

Enter, A. C. D. V., Adler, J. & Duarte, J. A. M. S., Aug-1990, In : Journal of Statistical Physics. 60, 3-4, p. 323-332 10 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Enter, A. C. D. V., Adler, J., & Duarte, J. A. M. S. (1990). Finite-Size Effects for Some Bootstrap Percolation Models. Journal of Statistical Physics, 60(3-4), 323-332.

Author

Enter, A.C.D. van ; Adler, Joan ; Duarte, J.A.M.S. / Finite-Size Effects for Some Bootstrap Percolation Models. In: Journal of Statistical Physics. 1990 ; Vol. 60, No. 3-4. pp. 323-332.

Harvard

Enter, ACDV, Adler, J & Duarte, JAMS 1990, 'Finite-Size Effects for Some Bootstrap Percolation Models', Journal of Statistical Physics, vol. 60, no. 3-4, pp. 323-332.

Standard

Finite-Size Effects for Some Bootstrap Percolation Models. / Enter, A.C.D. van; Adler, Joan; Duarte, J.A.M.S.

In: Journal of Statistical Physics, Vol. 60, No. 3-4, 08.1990, p. 323-332.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Enter ACDV, Adler J, Duarte JAMS. Finite-Size Effects for Some Bootstrap Percolation Models. Journal of Statistical Physics. 1990 Aug;60(3-4):323-332.


BibTeX

@article{5157ccf8f795422d91ebc6294a194e05,
title = "Finite-Size Effects for Some Bootstrap Percolation Models",
abstract = "The consequences of Schonmann's new proof that the critical threshold is unity for certain bootstrap percolation models are explored. It is shown that this proof provides an upper bound for the finite-size scaling in these systems. Comparison with data for one case demonstrates that this scaling appears to give the correct asymptotics. We show that the threshold for a finite system of size L scales as O{1/[ln(ln L)]} for the isotropic model in three dimensions where sites that fail to have at least four neighbors are culled.",
keywords = "simulation, finite-size scaling, phase transition, critical exponents, bootstrap percolation",
author = "Enter, {A.C.D. van} and Joan Adler and J.A.M.S. Duarte",
note = "Relation: https://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)",
year = "1990",
month = aug,
language = "English",
volume = "60",
pages = "323--332",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "SPRINGER",
number = "3-4",

}

RIS

TY - JOUR

T1 - Finite-Size Effects for Some Bootstrap Percolation Models

AU - Enter, A.C.D. van

AU - Adler, Joan

AU - Duarte, J.A.M.S.

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

PY - 1990/8

Y1 - 1990/8

N2 - The consequences of Schonmann's new proof that the critical threshold is unity for certain bootstrap percolation models are explored. It is shown that this proof provides an upper bound for the finite-size scaling in these systems. Comparison with data for one case demonstrates that this scaling appears to give the correct asymptotics. We show that the threshold for a finite system of size L scales as O{1/[ln(ln L)]} for the isotropic model in three dimensions where sites that fail to have at least four neighbors are culled.

AB - The consequences of Schonmann's new proof that the critical threshold is unity for certain bootstrap percolation models are explored. It is shown that this proof provides an upper bound for the finite-size scaling in these systems. Comparison with data for one case demonstrates that this scaling appears to give the correct asymptotics. We show that the threshold for a finite system of size L scales as O{1/[ln(ln L)]} for the isotropic model in three dimensions where sites that fail to have at least four neighbors are culled.

KW - simulation

KW - finite-size scaling

KW - phase transition

KW - critical exponents

KW - bootstrap percolation

M3 - Article

VL - 60

SP - 323

EP - 332

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3-4

ER -

ID: 3359567