The stochastic stabilized Kuramoto-Sivashinsky equation: A model for compact electrodeposition growth

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 235, Issue 5, 1997, Pages 464-468

  Buceta, Javier ^a   Pastor, Juanma ^a   Rubio, Miguel A ^a   De La Rubia, F Javier ^a  

^a UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

Author keywords

Electrodeposition; Morphological instability; Scaling laws; Stochastic models; Surface growth

Indexed keywords

ELECTRODEPOSITION; ELECTRODES; PARTIAL DIFFERENTIAL EQUATIONS; SCALING LAWS; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC SYSTEMS;

CHARACTERISTIC LENGTH; CONTROL PARAMETERS; DYNAMICAL BEHAVIORS; ELECTRODEPOSITION GROWTH; KURAMOTO-SIVASHINSKY EQUATIONS; MORPHOLOGICAL INSTABILITY; SCALING PROPERTIES; SURFACE GROWTH;

STOCHASTIC MODELS;

EID: 0039449846     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00633-6     Document Type: Article

References (26)

1. J.S. Langer, Rev. Mod. Phys. 52 (1980) 1.
2. D.A. Kessler, J. Koplik, H. Levine, Adv. Phys. 37 (1988) 255.
3. A.L. Barabási, H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
4. A. McKane, M. Droz, J. Vannimenus, D. Wolf, eds., Scale Invariance, Interfaces, and Non-Equilibrium Dynamics (Plenum Press, New York, 1995).
5. R.M. Brady, R.C. Ball, Nature 309 (1984) 225; Y. Sawada, A. Dougherty, J.P. Gollub, Phys. Rev. Lett. 56 (1986) 1260; D. Grier, E. Ben-Jacob, R. Clarke, L.M. Sander, Phys. Rev. Lett. 56 (1986) 1264; F. Argoul, A. Arneode, G. Grasseau, H.L. Swinney, Phys. Rev. Lett. 61 (1988) 2558; P.P. Trigueros, J. Claret, F. Más, F. Sagués, J. Electroanal. Chem. 312 (1991) 219.
6. R.M. Brady, R.C. Ball, Nature 309 (1984) 225; Y. Sawada, A. Dougherty, J.P. Gollub, Phys. Rev. Lett. 56 (1986) 1260; D. Grier, E. Ben-Jacob, R. Clarke, L.M. Sander, Phys. Rev. Lett. 56 (1986) 1264; F. Argoul, A. Arneode, G. Grasseau, H.L. Swinney, Phys. Rev. Lett. 61 (1988) 2558; P.P. Trigueros, J. Claret, F. Más, F. Sagués, J. Electroanal. Chem. 312 (1991) 219.
7. R.M. Brady, R.C. Ball, Nature 309 (1984) 225; Y. Sawada, A. Dougherty, J.P. Gollub, Phys. Rev. Lett. 56 (1986) 1260; D. Grier, E. Ben-Jacob, R. Clarke, L.M. Sander, Phys. Rev. Lett. 56 (1986) 1264; F. Argoul, A. Arneode, G. Grasseau, H.L. Swinney, Phys. Rev. Lett. 61 (1988) 2558; P.P. Trigueros, J. Claret, F. Más, F. Sagués, J. Electroanal. Chem. 312 (1991) 219.
8. R.M. Brady, R.C. Ball, Nature 309 (1984) 225; Y. Sawada, A. Dougherty, J.P. Gollub, Phys. Rev. Lett. 56 (1986) 1260; D. Grier, E. Ben-Jacob, R. Clarke, L.M. Sander, Phys. Rev. Lett. 56 (1986) 1264; F. Argoul, A. Arneode, G. Grasseau, H.L. Swinney, Phys. Rev. Lett. 61 (1988) 2558; P.P. Trigueros, J. Claret, F. Más, F. Sagués, J. Electroanal. Chem. 312 (1991) 219.
9. R.M. Brady, R.C. Ball, Nature 309 (1984) 225; Y. Sawada, A. Dougherty, J.P. Gollub, Phys. Rev. Lett. 56 (1986) 1260; D. Grier, E. Ben-Jacob, R. Clarke, L.M. Sander, Phys. Rev. Lett. 56 (1986) 1264; F. Argoul, A. Arneode, G. Grasseau, H.L. Swinney, Phys. Rev. Lett. 61 (1988) 2558; P.P. Trigueros, J. Claret, F. Más, F. Sagués, J. Electroanal. Chem. 312 (1991) 219.
10. G.L.M.K.S. Kahanda, X. Zhou, R. Farrel, P. Wong, Phys. Rev. Lett. 68 (1992) 3741.
11. A. Iwamoto, T. Yoshinobu, H. Iwasaki, Phys. Rev. Lett. 72 (1994) 4025.
12. J.M. Pastor, Miguel A. Rubio, Phys. Rev. Lett. 76 (1996) 1838; Physica D 96 (1996) 384.
13. J.M. Pastor, Miguel A. Rubio, Phys. Rev. Lett. 76 (1996) 1838; Physica D 96 (1996) 384.
14. Y. Kuramoto, T. Tsuzuki, Prog. Theor. Phys. 55 (1976) 356.
15. G. Sivashinsky, Acta Astronautica 4 (1977) 1177.
16. M.L. Frankel, Phys. Lett. 128 (1988) 57.
17. K. Sneppen, J. Krug, M.H. Jensen, C. Jayaprakash, T. Bohr, Phys. Rev. A 46 (1992) 7351.
18. M. Kardar, G. Parisi, Y.C. Zhang, Phys. Rev. Lett. 56 (1986) 889.
19. R. Cuerno, A.L. Barabási, Phys. Rev. Lett. 74 (1995) 4746; R. Cuerno, H.A. Makse, S. Tomassone, S.T. Harrington, H.E. Stanley, Phys. Rev. Lett. 75 (1995) 4464.
20. R. Cuerno, A.L. Barabási, Phys. Rev. Lett. 74 (1995) 4746; R. Cuerno, H.A. Makse, S. Tomassone, S.T. Harrington, H.E. Stanley, Phys. Rev. Lett. 75 (1995) 4464.
21. A. Norvick-Cohen, Physica D 26 (1987) 403.
22. I. Bena, C. Misbah, A. Valance, Phys. Rev. B 47 (1993) 7408.
23. D.E. Wolf, J. Villian, Europhys. Lett. 13 (1990) 389; S. Das Sarma, P. Tamborenea, Phys. Lett. 66 (1991) 325.
24. D.E. Wolf, J. Villian, Europhys. Lett. 13 (1990) 389; S. Das Sarma, P. Tamborenea, Phys. Lett. 66 (1991) 325.
25. W.W. Mullins, R.F. Sekerka, J. Appl. Phys. 34 (1963) 323; 35 (1964) 444.
26. W.W. Mullins, R.F. Sekerka, J. Appl. Phys. 34 (1963) 323; 35 (1964) 444.