Dynamic renormalization group study of a generalized continuum model of crystalline surfaces

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 1, 2002, Pages

  Cuerno, Rodolfo ^a   Moro, Esteban ^b  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; COMPOSITION; CORRELATION METHODS; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MIXTURES;

BINARY LIQUID MIXTURES; BULK CORRELATION LENGTH; CRITICAL ADSORPTION; SURFACE SCALING FUNCTIONS;

ELLIPSOMETRY;

EID: 41349089483     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.016110     Document Type: Article

References (45)

1. A.-L. Barabási and H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
2. J. Krug, Adv. Phys. 46, 139 (1997).
3. J. García-Ojalvo and J.M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
4. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
5. J.D. Weeks, in Ordering in Strongly Fluctuating Condensed Matter Systems, edited by T. Rice (Plenum, New York, 1980).
6. G. Grinstein and D.H. Lee, Phys. Rev. Lett. 66, 177 (1991).
7. S.T. Chui and J.D. Weeks, Phys. Rev. Lett. 40, 733 (1978).
8. P. Nozières and F. Gallet, J. Phys. (Paris) 48, 353 (1987).
9. P. Nozières, in Solids far From Equilibrium, edited by C. Godrèche (Cambridge University Press, Cambridge, 1991).
10. A. Sánchez, A.R. Bishop, and E. Moro, Phys. Rev. E 62, 3219 (2000).
11. S.F. Edwards and D.R. Wilkinson, Proc. R. Soc. London, Ser. A 381, 17 (1982).
12. See, K. Honda, Phys. Rev. E 55, R1235 (1997), for a precise interpretation of the negative roughness exponents expected for (Formula presented) in the case of the EW equation.
13. Y. Saito, Statistical Physics of Crystal Growth (World Scientific, Singapore, 1996).
14. A. Pimpinelli and J. Villain, Physics of Crystal Growth (Cambridge University Press, Cambridge, 1998).
15. E. Moro, R. Cuerno, and A. Sánchez, Phys. Rev. Lett. 78, 4982 (1997).
16. W.W. Mullins, J. Appl. Phys. 28, 333 (1957).
17. Reflection High-Energy Electron Diffraction and Reflection Electron Imaging of Surfaces, Vol. 188 of NATO Advanced Study Institute, Series: Physics, edited by P.K. Larsen and P.J. Dobson (Plenum, New York, 1988).
18. L.-H. Tang and T. Nattermann, Phys. Rev. Lett. 66, 2899 (1991).
19. H. Kallabis, L. Brendel, J. Krug, and D.E. Wolf, Int. J. Mod. Phys. B 11, 3621 (1997).
20. D. Nelson, Phys. Rev. B 26, 269 (1982).
21. D.A. Bruce, Mater. Sci. Forum 4, 51 (1985).
22. K.J. Strandbrug, Rev. Mod. Phys. 60, 161 (1988).
23. H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989).
24. E. Moro and R. Cuerno, Phys. Rev. E 63, 036104 (2001).
25. E. Moro, Ph.D. thesis, Universidad Carlos III de Madrid, 1999 (unpublished, in Spanish);http://www-thphys.physics.ox.ac. uk/users/EstebanMoro/profesional.
26. J. Villain, J. Phys. I 1, 19 (1991).
27. Z.-W. Lai and S. Das Sarma, Phys. Rev. Lett. 66, 2348 (1991).
28. S. Majaniemi, T. Ala-Nissila, and J. Krug, Phys. Rev. B 53, 8071 (1996).
29. E. Moro, J.J. Ruiz-Lorenzo, R. Cuerno, and A. Sánchez (unpublished).
30. Y. Saito, Z. Phys. B: Condens. Matter 32, 75 (1978).
31. L. Vázquez, R.C. Salvarezza, and A.J. Arvia, Phys. Rev. Lett. 79, 709 (1997).
32. L.P. Kadanoff, Statistical Physics: Statics, Dynamics and Renormalization (World Scientific, Singapore, 2000).
33. H.J.F. Knops and L.W.J. den Ouden, Physica A 103, 597 (1980).
34. Y. Levin and K.A. Dawson, Phys. Rev. A 42, 3507 (1990).
35. B. Kahng and K. Park, Int. J. Mod. Phys. B 10, 543 (1996).
36. T. Sun, B. Morin, H. Guo, and M. Grant, in Surface Disordering: Growth, Roughening and Phase Transitions, edited by R. Jullien et al. (Nova Science, New York, 1992).
37. M. Rost and J. Krug, J. Phys. I 7, 1627 (1997).
38. J.M. Kim and S. Das Sarma, Phys. Rev. E 48, 2599 (1993).
39. A.Kr. Chattopadhyay, e-print cond-mat/0001020.
40. D.E. Wolf and J. Villain, Europhys. Lett. 13, 389 (1990).
41. A.H. Nayfeh, Method of Normal Forms (Wiley, New York, 1993).
42. R.H. Swendsen, Phys. Rev. B 18, 492 (1987).
43. H. Müller-Krumbhaar, in 1976 Crystal Growth and Materials, edited by E. Kaldis and H.J. Scheel (North-Holland, New York, 1977).
44. S. Leibler, in Statistical Mechanics of Membranes and Surfaces, edited by D. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 1989).
45. W. Janke and H. Kleinert, Phys. Rev. B 41, 6848 (1990).