Rigorous derivation of the rate equations for epitaxial growth

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2013, Issue 6, 2013, Pages

  Tokar, V I ^a,b   Dreysse H ^a  

^a INSTITUT DE PHYSIQUE ET CHIMIE DES MATÉRIAUX DE STRASBOURG   (France)

^b INSTITUTE OF MAGNETISM   (Ukraine)

Author keywords

exact results; irreversible aggregation phenomena (theory); stochastic particle dynamics (theory); thin fulm deposition (theory)

Indexed keywords

EID: 84879924068     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2013/06/P06001     Document Type: Article

References (44)

1. Barabasi A L and Stanley H 1995 Fractal Concepts in Surface Growth (Cambridge: Cambridge University Press)
2. Evans J W, Thiel P A and Bartelt M C 2006 Surf. Sci. Rep. 61 1 (Pubitemid 44294396)
3. Jansen A 2012 An Introduction to Kinetic Monte Carlo Simulations of Surface Reactions (Springer Lecture Notes in Physics) vol 856 (New York: Springer)
4. Albao M A, Evans J W and Chuang F 2009 J. Phys.: Condens. Matter 21 405002
5. Bartelt M C and Evans J W 1992 Phys. Rev. B 46 12675
6. Zangwill A and Vvedensky D D 2011 Nano Lett. 11 2092
7. Tokar V I and Dreyssé H 2008 Phys. Rev. E 77 066705
8. Tokar V I and Dreyssé H 2009 Phys. Rev. B 80 161403
9. Nandipati G, Shim Y and Amar J G 2010 Phys. Rev. B 81 235415
10. Brune H, Bales G S, Jacobsen J, Boragno C and Kern K 1999 Phys. Rev. B 60 5991
11. Ratsch C and Venables J A 2003 J. Vac. Sci. Technol. A 21 S96
12. Venables J A 1973 Phil. Mag. 27 697
13. Venables J A, Spiller G D T and Hanbucken M 1984 Rep. Prog. Phys. 47 399
14. Amar J G, Family F and Lam P M 1994 Phys. Rev. B 50 8781
15. Bales G S and Chrzan D C 1994 Phys. Rev. B 50 6057
16. Popescu M N, Amar J G and Family F 1998 Phys. Rev. B 64 205404
17. Blackman J A and Mulheran P A 1996 Phys. Rev. B 54 11681
18. Ratsch C, Zangwill A, Šmilauer P and Vvedensky D D 1994 Phys. Rev. Lett. 72 3194
19. Mulheran P A and Blackman J A 1996 Phys. Rev. B 53 10261
20. Bartelt M C and Evans J W 1996 Phys. Rev. B 54 R17359
21. Evans J W and Bartelt M C 2001 Phys. Rev. B 63 235408
22. O'Neill K P, Grinfeld M, Lamb W and Mulheran P A 2012 Phys. Rev. E 85 021601
23. Bales G S and Zangwill A 1997 Phys. Rev. B 55 R1973
24. Pimpinelli A and Einstein T L 2007 Phys. Rev. Lett. 99 226102 (Pubitemid 350176090)
25. Körner M, Einax M and Maass P 2010 Phys. Rev. B 82 201401
26. van Kampen N G 1981 Stochastic Processes in Physics and Chemistry (Amsterdam: North-Holland)
27. Li M and Evans J 2003 Surf. Sci. 546 127
28. Li M and Evans J W 2005 Multiscale Model. Simul. 3 629 (Pubitemid 41269713)
29. Doi M 1976 J. Phys. A: Math. Gen. 9 1465
30. Siggia E D 1977 Phys. Rev. B 16 2319
31. Grassberger P and Scheunert M 1980 Fortschr. Phys. 28 547
32. Mattis D C and Glasser M L 1998 Rev. Mod. Phys. 70 979 (Pubitemid 128116337)
33. Tokar V I 1996 Phys. Rev. E 53 1411
34. Clarke S and Vvedensky D D 1988 J. Appl. Phys. 63 2272
35. Jensen I 2001 J. Stat. Phys. 102 865
36. Myers-Beaghton A K and Vvedensky D D 1990 Phys. Rev. B 42 5544
37. Segovia P, Purdie D, Hensenberger M and Baer Y 1999 Nature 402 504
38. Gambardella P, Dallmeyer A, Maiti K, Malagoll M C, Eberhardt W, Kern K and Carbone C 2002 Nature 416 301 (Pubitemid 34260239)
39. Tang L H 1993 J. Physique I 3 935
40. Voigtländer B, Kästner M and Šmilauer P 1998 Phys. Rev. Lett. 81 858
41. Lai M Y and Wang Y L 1998 Phys. Rev. Lett. 81 164
42. Stangl J, Holý V and Bauer G 2004 Rev. Mod. Phys. 76 725 (Pubitemid 40180191)
43. Tokar V I and Dreyssé H 2013 J. Phys.: Condens. Matter 25 045001
44. Dobbs H T, Vvedensky D D, Zangwill A, Johansson J, Carlsson N and Seifert W 1997 Phys. Rev. Lett. 79 897