Limits to Eden growth in two and three dimensions

M. T. Batchelor; B. I. Henry

doi:10.1016/0375-9601(91)90057-F

Limits to Eden growth in two and three dimensions

M. T. Batchelor^*, B. I. Henry

^*Corresponding author for this work

Mathematical Sciences Institute

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26 Citations (Scopus)

Abstract

We have simulated Eden growth for a range of cluster sizes N, and noise reduction parameters m, in d=2 and d=3 dimensions. As m varies from one to infinity, for large but finite N, the cluster morphology varies continuously from a circle to a diamond in d=2 and from a sphere to a bi-pyramid in d=3. Our results clearly demonstrate, at least for the cluster morphology, that the large m limit does not properly describe the asymptotics of the regular (m=1) Eden model.

Original language	English
Pages (from-to)	229-236
Number of pages	8
Journal	Physics Letters A
Volume	157
Issue number	4-5
DOIs	https://doi.org/10.1016/0375-9601(91)90057-F
Publication status	Published - 29 Jul 1991

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10.1016/0375-9601(91)90057-F

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title = "Limits to Eden growth in two and three dimensions",

abstract = "We have simulated Eden growth for a range of cluster sizes N, and noise reduction parameters m, in d=2 and d=3 dimensions. As m varies from one to infinity, for large but finite N, the cluster morphology varies continuously from a circle to a diamond in d=2 and from a sphere to a bi-pyramid in d=3. Our results clearly demonstrate, at least for the cluster morphology, that the large m limit does not properly describe the asymptotics of the regular (m=1) Eden model.",

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AU - Batchelor, M. T.

AU - Henry, B. I.

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N2 - We have simulated Eden growth for a range of cluster sizes N, and noise reduction parameters m, in d=2 and d=3 dimensions. As m varies from one to infinity, for large but finite N, the cluster morphology varies continuously from a circle to a diamond in d=2 and from a sphere to a bi-pyramid in d=3. Our results clearly demonstrate, at least for the cluster morphology, that the large m limit does not properly describe the asymptotics of the regular (m=1) Eden model.

AB - We have simulated Eden growth for a range of cluster sizes N, and noise reduction parameters m, in d=2 and d=3 dimensions. As m varies from one to infinity, for large but finite N, the cluster morphology varies continuously from a circle to a diamond in d=2 and from a sphere to a bi-pyramid in d=3. Our results clearly demonstrate, at least for the cluster morphology, that the large m limit does not properly describe the asymptotics of the regular (m=1) Eden model.

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VL - 157

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Limits to Eden growth in two and three dimensions

Abstract

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