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Volumn 66, Issue 23, 2002, Pages 2354101-23541012

Island sizes and capture zone areas in submonolayer deposition: Scaling and factorization of the joint probability distribution

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; KINETICS; MATHEMATICAL ANALYSIS; MONTE CARLO METHOD; STATISTICAL ANALYSIS; STATISTICAL PARAMETERS;

EID: 0037116108     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (56)

References (33)
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    • note
    • The mean-field treatment does account for spatial correlations in the island distribution, specifically the low population of near-by pairs of islands. This feature reflects the depleted adatom density, and thus nucleation rate, near island edges, which constitute sinks for diffusing adatoms.
  • 8
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    • P. A. Mulheran and J. A. Blackman, Phys. Rev. B 53, 10 261 (1996) inappropriately equates island size and CZ area distributions, and proposes that no scaling with 0 occurs for irreversible island formation.
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    • Mulheran, P.A.1    Blackman, J.A.2
  • 9
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    • edited by Z. Zhang and M. G. Lagally (World. Scientific, Singapore. Note the typographic error in the a(x) equation. The general strategy of a rate equation approach for analyzing CZ areas was suggested by G. S. Bales at ACCG-10, 1996
    • J. W. Evans and M. C. Bartelt, in Morphological Organization in Epitaxial Growth and Removal, edited by Z. Zhang and M. G. Lagally (World. Scientific, Singapore, 1998), p. 50. Note the typographic error in the a(x) equation. The general strategy of a rate equation approach for analyzing CZ areas was suggested by G. S. Bales at ACCG-10, 1996.
    • (1998) Morphological Organization in Epitaxial Growth and Removal , pp. 50
    • Evans, J.W.1    Bartelt, M.C.2
  • 16
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    • M. C. Bartelt and J. W. Evans, Surf. Sci. 298, 421 (1993). See also K. J. Caspersen, A. R. Layson, C. R. Stoldt, V. Fournee, P. A. Thiel, and J. W. Evans, Phys. Rev. B 65, 193407 (2002).
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    • Bartelt, M.C.1    Evans, J.W.2
  • 18
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    • note
    • min=a(0), and g(α)≡0 for α
  • 20
    • 33646620365 scopus 로고    scopus 로고
    • note
    • Implicitly, in our formulation, we assume that existing CZ boundaries are not modified outside the CZ of the just nucleated island. This is exactly true for VCs and ECs, and likely a good approximation for DCs.
  • 21
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    • note
    • For notational simplicity, in this paper, we drop the * on these P's appearing in Ref. 9.
  • 22
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    • note
    • s.
  • 23
    • 33646635188 scopus 로고    scopus 로고
    • note
    • Equation (12) implies that (df/dx)/f(x) = [(2z-1) -d/dx a(x)]/[a(x)-zx].
  • 24
    • 33646614304 scopus 로고    scopus 로고
    • note
    • Note that f(x)≡0 for x>x*, if a(x*)=z·x* and d/dx a(x* >2z-1 (Refs. 5 and 9).
  • 25
    • 33646619352 scopus 로고    scopus 로고
    • note
    • subnuc(α)q(α)G(α-a(x))].
  • 26
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    • F. G. Gibou, C. Ratsch, M. F. Gyure, S. Chen, and R. E. Caflisch, Phys. Rev. B 63, 11 505 (2001). See C. Ratsch, M. F. Gyure, S. Chen, M. Kang, and D. D. Vvedensky, ibid. 61, R10 598 (2000); D. D. Vvedensky, ibid. 62, 15 435 (2000) for other relevant work of this group.
    • (2001) Phys. Rev. B , vol.63 , pp. 11505
    • Gibou, F.G.1    Ratsch, C.2    Gyure, M.F.3    Chen, S.4    Caflisch, R.E.5
  • 27
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    • F. G. Gibou, C. Ratsch, M. F. Gyure, S. Chen, and R. E. Caflisch, Phys. Rev. B 63, 11 505 (2001). See C. Ratsch, M. F. Gyure, S. Chen, M. Kang, and D. D. Vvedensky, ibid. 61, R10 598 (2000); D. D. Vvedensky, ibid. 62, 15 435 (2000) for other relevant work of this group.
    • (2000) Phys. Rev. B , vol.61
    • Ratsch, C.1    Gyure, M.F.2    Chen, S.3    Kang, M.4    Vvedensky, D.D.5
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    • F. G. Gibou, C. Ratsch, M. F. Gyure, S. Chen, and R. E. Caflisch, Phys. Rev. B 63, 11 505 (2001). See C. Ratsch, M. F. Gyure, S. Chen, M. Kang, and D. D. Vvedensky, ibid. 61, R10 598 (2000); D. D. Vvedensky, ibid. 62, 15 435 (2000) for other relevant work of this group.
    • (2000) Phys. Rev. B , vol.62 , pp. 15435
    • Vvedensky, D.D.1
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    • J. G. Amar and F. Family, Phys. Rev. Lett. 74, 2066 (1995); H. Brune, Surf. Sci. Rep. 31, 121 (1998).
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  • 33
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    • note
    • + which will produce a final (discrete) CZ area A.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.