Numerical analysis of the noisy Kuramoto-Sivashinsky equation in 2+1 dimensions

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

Volumn 59, Issue 1, 1999, Pages 177-185

  Drotar, Jason T ^a   Zhao, Y P ^a   Lu, T M ^a   Wang, G C ^a  

^a Research Rensselaer Polytechnic Institute   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000862893     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.177     Document Type: Article

References (31)

1. Rodolfo Cuerno and Kent Bækgaard Lauritsen, Phys. Rev. E 52, 4853 (1995).
2. K. Sneppen, J. Krug, M. H. Jensen, C. Jayaprakash, and T. Bohr, Phys. Rev. A 46, 7351 (1992).
3. R. Mark Bradley and James M. E. Harper, J. Vac. Sci. Technol. A 6, 2390 (1988).
4. Rodolfo Cuerno and Albert-László Barabási, Phys. Rev. Lett. 74, 4746 (1995).
5. S. Das Sarma and P. Tamborenea, Phys. Rev. Lett. 66, 325 (1991).
6. Rodolfo Cuerno, Hernán A. Makse, Silvina Tomassone, Stephen T. Harrington, and H. Eugene Stanley, Phys. Rev. Lett. 75, 4464 (1995).
7. Anthony C.-T. Chan and G.-C. Wang, Surf. Sci. 414, 17 (1998).
8. S. Jay Chey, Joseph E. Van Nostrand, and David G. Cahill, in Evolution of Epitaxial Structure and Morphology, edited by A. Zangwill, D. Jesson, D. Chambliss, and R. Clarke, MRS Symposia Proceedings No. 399 (Materials Research Society, Pittsburgh, 1996), p. 221.
9. C. Jayaprakash, F. Hayot, and Rahul Pandit, Phys. Rev. Lett. 71, 12 (1993).
10. Itamar Procaccia, Mogens H. Jensen, Victor S. L’vov, Kim Sneppen, and Reuven Zeitak, Phys. Rev. A 46, 3220 (1992).
11. Martin Rost and Joachim Krug, Physica D 88, 1 (1995).
12. Keye Moser, János Kertész, and Dietrich E. Wolf, Physica A 178, 215 (1991).
13. William H. Press, Brian P. Flannery, Saul A. Teukolsky, and William T. Vetterling, Numerical Recipes in C—The Art of Scientific Computing (Cambridge University Press, New York, 1988).
14. F. Family and T. Vicsek, J. Phys. A 18, L75 (1985)
15. F. Family, Physica A 168, 561 (1990).
16. S. K. Sinha, E. B. Sirota, and S. Garott, Phys. Rev. B 38, 2297 (1988).
17. T.-M. Lu, H.-N. Yang, and G.-C. Wang, in Fractal Aspects of Materials, edited by Fereydoon Family, B. Sapoval, P. Meakin, and R. Wool, MRS Symposia Proceedings No. 367 (Materials Research Society, Pittsburgh, 1995), p. 283.
18. A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
19. Jacques G. Amar and Fereydoon Family, Phys. Rev. A 41, 3399 (1990).
20. J. Krim, I. Heyvaert, C. Van Haesendonck, and Y. Bruynseraede, Phys. Rev. Lett. 70, 57 (1993).
21. H.-N. Yang, G.-C. Wang, and T.-M. Lu, Phys. Rev. B 50, 7635 (1994);H.-N. Yang, G.-C. Wang, and T.-M. Lu, Diffraction from Rough Surfaces and Dynamic Growth Fronts (World Scientific, Singapore, 1993).
22. D.-M. Smilgies, P. J. Eng, E. Landemark, and M. Nielsen, Europhys. Lett. 38, 447 (1997).
23. Elliot A. Eklund, Eric J. Snyder, and R. Stanley Williams, Surf. Sci. 285, 157 (1993).
24. X.-S. Wang, R. J. Pechman, and J. H. Weaver, J. Vac. Sci. Technol. B 13, 2031 (1995).
25. X.-S. Wang, R. J. Pechman, and J. H. Weaver, Surf. Sci. 364, L511 (1996).
26. E. Chason and T. M. Mayer, Appl. Phys. Lett. 62, 363 (1993).
27. E. Chason, T. M. Mayer, and A. Payne, Appl. Phys. Lett. 60, 2353 (1992).
28. S. Majaniemi, T. Ala-Nissila, and J. Krug, Phys. Rev. B 53, 8071 (1996).
29. Y.-P. Zhao, G.-C. Wang, and T.-M. Lu, Phys. Rev. B 55, 13 938 (1997).
30. E. Chason, T. M. Mayer, B. K. Kellerman, D. T. McIlroy, and A. J. Howard, Phys. Rev. Lett. 72, 3040 (1994).
31. Peter Sigmund, Phys. Rev. 182, 383 (1969).