Nucleation, adatom capture, and island size distributions: Unified scaling analysis for submonolayer deposition

Physical Review B - Condensed Matter and Materials Physics

Volumn 63, Issue 23, 2001, Pages

  Evans, J W ^a   Bartelt, M C ^b  

^a IOWA STATE UNIVERSITY   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; ARTICLE; FILM; GEOMETRY; HYDRODYNAMICS; MATHEMATICAL ANALYSIS; PROBABILITY;

EID: 0034895455     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.63.235408     Document Type: Article

References (34)

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23. See Ref. 18 of Phys. Rev. B 54, R17 359 (1996) (Ref. 7).
24. In general, one has (formula presented) for (formula presented) assuming the integrability of (formula presented) and (formula presented)
25. G S. Bales (unpublished).
26. This complication applies for capture zones of compact islands chosen as EC’s and DC’s, but not for VC’s. See Sec III C. It does not apply for point islands.
27. See Morphological Organization in Epitaxial Growth and Removal (Ref. 11) for a derivation, but note the error in the coefficients of the (formula presented) equation.
28. Assuming that point-island-like behavior must be achieved for EC-tessellations of compact island distributions at very low θ (where VC’s and EC’s coincide), it follows that (formula presented) with (formula presented) for (formula presented) (see Ref. 7), increasing to (formula presented) for higher θ.
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31. One must use that the inverse function for (formula presented) is (formula presented) See Appendix C.
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33. For (formula presented) one has (formula presented)
34. Note that (formula presented) for (formula presented)