Theory of spatial and size scaling in strain-free island ripening

Research output: Contribution to journalArticle

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Abstract

A new theory for the ripening of two-dimensional strain-free islands limited by interfacial kinetics is presented. This theory supersedes the mean-field approach by including the environmental contribution to the islands' growth law. Consequently, it accounts not only for the development of the island size distribution; it also explains the concomitant spatial ordering of the islands. The scale invariance of these properties, as observed experimentally and in Monte Carlo simulations, evolves naturally from the theory. Good agreement between the theory and simulation is found. The work is significant for nanostructure production where island spatial and size distributions are key ingredients.
Original languageEnglish
Pages (from-to)1001-1007
Number of pages7
JournalEPL: A Letters Journal Exploring the Frontiers of Physics
Volume71
Issue number6
DOIs
Publication statusPublished - 10 Aug 2005

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scaling
ingredients
invariance
spatial distribution
simulation
kinetics

Keywords

  • 1. 2-dimensional islands
  • phase-separation
  • 2 dimensions
  • ostwald
  • growth
  • distributions
  • nucleation
  • clusters
  • dynamics
  • surfaces

Cite this

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title = "Theory of spatial and size scaling in strain-free island ripening",
abstract = "A new theory for the ripening of two-dimensional strain-free islands limited by interfacial kinetics is presented. This theory supersedes the mean-field approach by including the environmental contribution to the islands' growth law. Consequently, it accounts not only for the development of the island size distribution; it also explains the concomitant spatial ordering of the islands. The scale invariance of these properties, as observed experimentally and in Monte Carlo simulations, evolves naturally from the theory. Good agreement between the theory and simulation is found. The work is significant for nanostructure production where island spatial and size distributions are key ingredients.",
keywords = "1. 2-dimensional islands, phase-separation, 2 dimensions, ostwald, growth, distributions, nucleation, clusters, dynamics, surfaces",
author = "P.A. Mulheran",
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language = "English",
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journal = "EPL: A Letters Journal Exploring the Frontiers of Physics",
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Theory of spatial and size scaling in strain-free island ripening. / Mulheran, P.A.

In: EPL: A Letters Journal Exploring the Frontiers of Physics, Vol. 71, No. 6, 10.08.2005, p. 1001-1007.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Theory of spatial and size scaling in strain-free island ripening

AU - Mulheran, P.A.

PY - 2005/8/10

Y1 - 2005/8/10

N2 - A new theory for the ripening of two-dimensional strain-free islands limited by interfacial kinetics is presented. This theory supersedes the mean-field approach by including the environmental contribution to the islands' growth law. Consequently, it accounts not only for the development of the island size distribution; it also explains the concomitant spatial ordering of the islands. The scale invariance of these properties, as observed experimentally and in Monte Carlo simulations, evolves naturally from the theory. Good agreement between the theory and simulation is found. The work is significant for nanostructure production where island spatial and size distributions are key ingredients.

AB - A new theory for the ripening of two-dimensional strain-free islands limited by interfacial kinetics is presented. This theory supersedes the mean-field approach by including the environmental contribution to the islands' growth law. Consequently, it accounts not only for the development of the island size distribution; it also explains the concomitant spatial ordering of the islands. The scale invariance of these properties, as observed experimentally and in Monte Carlo simulations, evolves naturally from the theory. Good agreement between the theory and simulation is found. The work is significant for nanostructure production where island spatial and size distributions are key ingredients.

KW - 1. 2-dimensional islands

KW - phase-separation

KW - 2 dimensions

KW - ostwald

KW - growth

KW - distributions

KW - nucleation

KW - clusters

KW - dynamics

KW - surfaces

U2 - 10.1209/epl/i2005-10169-0

DO - 10.1209/epl/i2005-10169-0

M3 - Article

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JO - EPL: A Letters Journal Exploring the Frontiers of Physics

JF - EPL: A Letters Journal Exploring the Frontiers of Physics

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