Ising cluster kinetics at the critical point

Dietrich Stauffer; Iksoo Chang

doi:10.1023/a:1004502216886

Ising cluster kinetics at the critical point

Dietrich Stauffer, Iksoo Chang

Department of Brain Sciences

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

3 Scopus citations

Abstract

The scaling laws of Edwards et al. for cluster fragmentation at the two-dimensional percolation threshold, recently confirmed also in high dimensions, explain the Alexandrowicz observation that the Becker-Döring equation of classical nucleation theory and its generalization by Katz, Saltsburg, and Reiss fail right at the critical point.

Original language	English
Pages (from-to)	503-506
Number of pages	4
Journal	Journal of Statistical Physics
Volume	95
Issue number	1-2
DOIs	https://doi.org/10.1023/a:1004502216886
State	Published - Apr 1999

Keywords

Fragmentation
Glauber kinetics
Percolation

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10.1023/a:1004502216886

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title = "Ising cluster kinetics at the critical point",

abstract = "The scaling laws of Edwards et al. for cluster fragmentation at the two-dimensional percolation threshold, recently confirmed also in high dimensions, explain the Alexandrowicz observation that the Becker-D{\"o}ring equation of classical nucleation theory and its generalization by Katz, Saltsburg, and Reiss fail right at the critical point.",

keywords = "Fragmentation, Glauber kinetics, Percolation",

author = "Dietrich Stauffer and Iksoo Chang",

year = "1999",

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language = "English",

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T1 - Ising cluster kinetics at the critical point

AU - Stauffer, Dietrich

AU - Chang, Iksoo

PY - 1999/4

Y1 - 1999/4

N2 - The scaling laws of Edwards et al. for cluster fragmentation at the two-dimensional percolation threshold, recently confirmed also in high dimensions, explain the Alexandrowicz observation that the Becker-Döring equation of classical nucleation theory and its generalization by Katz, Saltsburg, and Reiss fail right at the critical point.

AB - The scaling laws of Edwards et al. for cluster fragmentation at the two-dimensional percolation threshold, recently confirmed also in high dimensions, explain the Alexandrowicz observation that the Becker-Döring equation of classical nucleation theory and its generalization by Katz, Saltsburg, and Reiss fail right at the critical point.

KW - Fragmentation

KW - Glauber kinetics

KW - Percolation

UR - https://www.scopus.com/pages/publications/0033246863

U2 - 10.1023/a:1004502216886

DO - 10.1023/a:1004502216886

M3 - Article

AN - SCOPUS:0033246863

SN - 0022-4715

VL - 95

SP - 503

EP - 506

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1-2

ER -

Ising cluster kinetics at the critical point

Abstract

Keywords

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