The dynamics of island nucleation and growth - beyond mean-field theory

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Abstract

Fully deterministic calculations of the dynamics of island nucleation and growth during thin-film deposition are presented, using a capture zone model that transcends the classical mean-field approximation. Nucleation rates for various critical island sizes i = 0, 1, 2 are accurately calculated from the time-dependent monomer density within the capture zones. The deterministic evolution of the Joint Probability Distribution (JPD) of island and capture zone size is then calculated. The JPDs are found to converge rapidly to approximately scale-invariant forms that are in excellent agreement with Monte Carlo simulation data.
LanguageEnglish
Pages379-385
Number of pages7
JournalEPL: A Letters Journal Exploring the Frontiers of Physics
Volume65
Issue number3
DOIs
Publication statusPublished - 2004

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nucleation
data simulation
monomers
thin films
approximation

Keywords

  • thin-film growth
  • size distributions
  • epitaxial-growth
  • capture zones
  • aggregation

Cite this

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title = "The dynamics of island nucleation and growth - beyond mean-field theory",
abstract = "Fully deterministic calculations of the dynamics of island nucleation and growth during thin-film deposition are presented, using a capture zone model that transcends the classical mean-field approximation. Nucleation rates for various critical island sizes i = 0, 1, 2 are accurately calculated from the time-dependent monomer density within the capture zones. The deterministic evolution of the Joint Probability Distribution (JPD) of island and capture zone size is then calculated. The JPDs are found to converge rapidly to approximately scale-invariant forms that are in excellent agreement with Monte Carlo simulation data.",
keywords = "thin-film growth, size distributions, epitaxial-growth, capture zones, aggregation",
author = "P.A. Mulheran",
year = "2004",
doi = "10.1209/epl/i2003-10098-x",
language = "English",
volume = "65",
pages = "379--385",
journal = "EPL: A Letters Journal Exploring the Frontiers of Physics",
issn = "0295-5075",
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AU - Mulheran, P.A.

PY - 2004

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N2 - Fully deterministic calculations of the dynamics of island nucleation and growth during thin-film deposition are presented, using a capture zone model that transcends the classical mean-field approximation. Nucleation rates for various critical island sizes i = 0, 1, 2 are accurately calculated from the time-dependent monomer density within the capture zones. The deterministic evolution of the Joint Probability Distribution (JPD) of island and capture zone size is then calculated. The JPDs are found to converge rapidly to approximately scale-invariant forms that are in excellent agreement with Monte Carlo simulation data.

AB - Fully deterministic calculations of the dynamics of island nucleation and growth during thin-film deposition are presented, using a capture zone model that transcends the classical mean-field approximation. Nucleation rates for various critical island sizes i = 0, 1, 2 are accurately calculated from the time-dependent monomer density within the capture zones. The deterministic evolution of the Joint Probability Distribution (JPD) of island and capture zone size is then calculated. The JPDs are found to converge rapidly to approximately scale-invariant forms that are in excellent agreement with Monte Carlo simulation data.

KW - thin-film growth

KW - size distributions

KW - epitaxial-growth

KW - capture zones

KW - aggregation

U2 - 10.1209/epl/i2003-10098-x

DO - 10.1209/epl/i2003-10098-x

M3 - Article

VL - 65

SP - 379

EP - 385

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

T2 - EPL: A Letters Journal Exploring the Frontiers of Physics

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

SN - 0295-5075

IS - 3

ER -