Scaling and universality in the kinetic smoothening of interfaces: Application to the analysis of the relaxation of rough vicinal steps of an oxide surface

EPL

Volumn 89, Issue 6, 2010, Pages 1-11

  Nguyen, T T T ^a   Bonamy, D ^a   Phan Van, L ^a   Cousty, J ^a   Barbier, L ^a  

^a CNRS UMR 3299   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84899429679     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/89/60005     Document Type: Article

References (39)

1. M. Kardar and D. Ertas, Phys. Rev. E 49, 2532 (1994).
2. S. Moulinet, A. Rosso, W. Krauth, and E. Rolley, Phys. Rev. E 69, 035103(2004).
3. J. Zhang, Y.-C. Zhang, P. Alstrom, and M. T. Levinsen, Physica 189A, 383 (1992).
4. M. Myllys, J. Maunuksela, M. J. Alava, T. Ala-Nissila and J. Timonen, Phys. Rev. Lett. 84, 1946 (2000).
5. T. Vicsek, M. Cserzö and V. K. Horváth, Physica 167A, 315 (1990).
6. A. L. Barbarasi and H. E. Stanley, Flow and Transport in Porous Media and Fractured Rock (John Wiley and Sons, New-York, 1995).
7. M. J. Alava, M. Dubé and M. rost Adv. Phys. 53, 83 (2004).
8. A. Hansen, E. L. Hinrichsen and S. Roux Phys. Rev. Lett. 66, 2476 (1991).
9. E. Bouchaud J. Phys: Condens. Matt. 9, 4319 (1997).
10. D. Bonamy J. Phys. D 42, 214014 (2009).
11. A. L. Barbarasi and H. E. Stanley, Fractal concepts in surface growth (Cambridge Univ. Press,Cambridge, 1995).
12. A. S. Balankin et al., Phys. Rev. Lett. 96, 056101 (2006).
13. H. Omi, H. Kageshima and M. Uematsu, Phys. Rev. Lett. 97, 016102 (2006);
14. S. Morel, D. Bonamy, L. Ponson and E. Bouchaud, Phys. Rev. E 78, 016112 (2008);
15. P. Cordoba-Torres, T. J. Mesquita, I. N. Bastos and R. P. Nogueira, Phys. Rev. Lett. 102, 055504 (2009).
16. F. Family and T. Vicsek, J. Phys. A 18, L75 (1985);
17. J. Krug, Phys. Rev. Lett. 72, 2907 (1994);
18. J. M. Lopez, Phys. Rev. Lett. 83, 4594 (1999);
19. C. Escudero, Phys. Rev. Lett. 100, 116101 (2008).
20. S. Bustingorry, L. F. Cugliandolo and D. Dominguez, Phys. Rev. Lett. 96, 027001 (2006);
21. S. Bustingorry, L. F. Cugliandolo and J. L. Iguain, J. Stat. Mech., P09008 (2007);
22. S. Bustingorry, J. Stat. Mech., P10002 (2007).
23. N. C. Bartelt, J. L. Goldberg, T. L. Einstein and E. Williams, Surf. Sci. 273, 1 (1992).
24. L. Masson, L. Barbier, J. Cousty and B. Salanon, Surf. Sci. 317, L1115 (1994).
25. L. Barbier, L. Masson, J. Cousty and B. Salanon, Surf. Sci. 345, 197 (1996);
26. E. Le Goff, L. Barbier, L. Masson and B. Salanon, Surf. Sci. 432, 139 (1999).
27. D. E. Wolf and J. Villain, Europhys. Lett. 13, 389 (1990).
28. Numerical simulations of KPZ equations reveal that the kinetic smoothening regime can be described using the scaling given by Eq. 7 with an effective exponent z = 2, and not the dynamic exponent z = 3/2 that intervenes in the Family-Viseck scaling that characterizes the kinetic roughening at equilibrium. To be published.
29. T. Fujii et al., J. Appl. Phys. 66, 3168 (1989).
30. W. Eerenstein, T. T. M. Palstra, S. S. Saxena and T. Hibma, Phys. Rev. Lett. 88, 247204 (2002).
31. A. V. Ramos et al., Phys. Rev. B 75, 224421 (2007).
32. T.T.T. Nguyen et al. Surf. Sci. 602, 3232 (2008).
33. A. H. Heuer J. Eur. Cerm. Soc. 28, 1495 (2008).
34. E. Le Goff, L. Barbier and B. Salanon, Surf. Sci. 531, 337 (2003)
35. M Giesen, Prog. Surf. Sci. 68, 1 (2001).
36. T.T.T. Nguyen, PhD Thesis (2008).
37. T. Frisch and A. Verga, Phys. Rev. Lett. 96, 166104 (2006)
38. H. Omi et al., Phys. Rev. Lett. 95, 216101 (2005)
39. A. B. H. Hamouda, A. Pimpinelli and R.J. Phaneuf, Surf. Sci. 602, 2819 (2008)