Short-range stationary patterns and long-range disorder in an evolution equation for one-dimensional interfaces

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 74, Issue 5, 2006, Pages

  Muñoz García, Javier ^a   Cuerno, Rodolfo ^a   Castro, Mario ^b  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b Universidad Pontificia Comillas   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ESTIMATION; SPUTTERING; WAVE EQUATIONS;

ION BEAM SPUTTERING; LOCAL EVOLUTION EQUATION; MEAN GROWTH VELOCITY;

INTERFACES (MATERIALS);

EID: 33845260082     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.050103     Document Type: Article

References (28)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.851 65, 851 (1993).
2. A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, U.K., 1995).
3. P. Politi, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00046-0 324, 271 (2000).
4. U. Valbusa, C. Boragno, and F. B. de Mongeot, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/35/301 14, 8153 (2002).
5. P. Politi and C. Misbah, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.090601 92, 090601 (2004);
6. P. Politi and C. Misbah, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.036133 73, 036133 (2006).
7. J. Krug, Adv. Complex Syst. ZZZZZZ 0219-5259 4, 353 (2001).
8. M. Castro (unpublished).
9. M. Castro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 016102 94, 016102 (2005).
10. J. Muñoz-García, M. Castro, and R. Cuerno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.086101 96, 086101 (2006).
11. The stochastic version of this 2D equation was previously derived in the context of amorphous thin film growth, see M. Raible, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2000-00235-7 50, 61 (2000);
12. M. Raible, S. J. Linz, and P. Hänggi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.031506 64, 031506 (2001).
13. O. Terzidis, P. Claudin, and J.-P. Bouchaud, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050441 5, 245 (1998);
14. A. Valance and F. Rioual, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050884 10, 543 (1999);
15. Z. Csahók, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890070043 3, 71 (2000).
16. S. Facsko, Science SCIEAS 0036-8075 10.1126/science.285.5433.1551 285, 1551 (1999);
17. R. Gago, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1372358 78, 3316 (2001).
18. R. M. Bradley and J. M. Harper, J. Vac. Sci. Technol. A JVTAD6 0734-2101 10.1116/1.575561 6, 2390 (1988);
19. R. Cuerno and A.-L. Barabási, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4746 74, 4746 (1995);
20. M. Makeev, R. Cuerno, and A.-L. Barábasi, Nucl. Instrum. Methods Phys. Res. B NIMBEU 0168-583X 10.1016/S0168-583X(02)01436-2 197, 185 (2002).
21. M. Raible, S. J. Linz, and P. Hänggi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.1691 62, 1691 (2000).
22. M. Castro and R. Cuerno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.139601 94, 139601 (2005).
23. G. I. Sivashinsky, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fl.15.010183.001143 15, 179 (1983).
24. Y. Kuramoto, Chemical Oscillation, Waves and Turbulence (Springer, Berlin, 1984).
25. K. Sneppen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.R7351 46, R7351 (1992).
26. T. Frisch and A. Verga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.166104 96, 166104 (2006).
27. C.-H. Lam and F. G. Shin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.5592 58, 5592 (1998).
28. A. A. Golovin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86. 1550 86, 1550 (2001).