Capture-zone distribution in one-dimensional sub-monolayer film growth: A fragmentation theory approach

Journal of Physics A: Mathematical and Theoretical

Volumn 45, Issue 1, 2012, Pages

  Grinfeld, M ^a   Lamb, W ^a   Oneill, K P ^a   Mulheran, P A ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 83455179438     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/45/1/015002     Document Type: Article

References (30)

1. Amar J G and Family F 1995 Phys. Rev. Lett. 74 20669
2. Amar J G, Family F and Lam P-M 1994 Phys. Rev. B 50 878197
3. Bales G S and Chrzan D C 1994 Phys. Rev. B 50 605767
4. Banasiak J and Arlotti L 2006 Positive Perturbations of Semigroups with Applications (London: Springer) p 203
5. Bartelt M C and Evans J W 1992 Phys. Rev. B 46 1267587
6. Bartelt M C and Evans J W 1996 Phys. Rev. B 54 R1735962
7. Blackman J A and Mulheran P A 1996 Phys. Rev. B 54 1168192
8. Brune H 1998 Surf. Sci. Rep. 31 125229
9. Cheng Z and Redner S 1988 Phys. Rev. Lett. 60 24503
10. Escobedo M, Mischler S and Rodriguez Ricard M 2005 Ann. Inst. H. Poincaŕ Anal. Non Lińaire 22 99125
11. Evans J W and Bartelt M C 2002 Phys. Rev. B 66 235410
12. Fanfoni M 2008 J. Phys.: Condens. Matter 20 015222
13. Gonzalez D L, Pimpinelli A and Einstein T L 2011 Phys. Rev. E 84 011601
14. Li M, Han Y and Evans J W 2010 Phys. Rev. Lett. 104 149601
15. Mulheran P A 2004 Europhys. Lett. 65 37985
16. Mulheran P A, Pellenc D, Bennett R A, Green R J and Sperrin M 2008 Phys. Rev. Lett. 100 068102
17. Mulheran P A 2009 Theory of cluster growth on surfaces Metallic Nanoparticles (Handbook of Metal Physics vol 5) ed J A Blackman (Amsterdam: Elsevier) pp 73111
18. Mulheran P A and Blackman J A 1996 Phys. Rev. B 53 102617
19. Mulheran P A and Robbie D A 2000 Europhys. Lett. 49 61723
20. ONeill K P, Grinfeld M, Lamb W and Mulheran P A 2011 Gap size and capture zone distributions in one-dimensional point island nucleation and growth simulations: asymptotics and models Phys. Rev. E submitted (arXiv:1110.2332)
21. Pimpinelli A and Einstein T L 2007 Phys. Rev. Lett. 99 226102
22. Pimpinelli A and Einstein T L 2010 Phys. Rev. Lett. 104 149602
23. Ratsch C, Zangwill A, Smilauer P and Vvedensky D D 1994 Phys. Rev. Lett. 72 31947
24. Ratto R and Rosei F 2010 Mater. Sci. Eng. Rep. 70 24364
25. Shi F, Shim Y and Amar J G 2009 Phys. Rev. E 79 011602
26. Stroscio J A and Pierce D T 1994 Phys. Rev. B 49 85225
27. Treat R P 1997 J. Phys. A: Math. Gen. 30 251943
28. Venables J A 1973 Phil. Mag. 27 697738
29. Wong R 2001 Asymptotic Approximations of Integrals (Philadelphia: SIAM) p 448 459
30. Ziff R M and McGrady E D 1986 Macromolecules 19 25139