Abstract:
We consider several stochastic processes corresponding to the same physical solid-on-solid deposition problem. Simplified models presenting the same (conditional) mean and variance for each process are also introduced as well as generalizations in terms of the deposition of blobs and probabilistic deposition rules. We compare the evolution of the roughness as a function of time for a three-parameter family that includes as limit cases the Family model and the Edwards-Wilkinson equation, showing that in all cases the derived models with the same mean and variance are indistinguishable from the originating models in terms of the evolution of the roughness. Finally, we show that although all the models studied belong to the same universality class, some relevant features such as the final surface roughness are reproduced only for models within a restricted class determined by sharing the same (conditional) mean and variance. © 2004 The American Physical Society.
Registro:
| Documento: |
Artículo
|
| Título: | Probing universality classes in solid-on-solid deposition |
| Autor: | Castez, M.F.; Salvarezza, R.C.; Solari, H.G. |
| Filiación: | Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (INIFTA), Casilla de Correo 16, Sucursal 4, La Plata, 1900, Argentina
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina
|
| Año: | 2004
|
| Volumen: | 70
|
| Número: | 1
|
| Página de inicio: | 10
|
| DOI: |
http://dx.doi.org/10.1103/PhysRevE.70.011605 |
| Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|
| Título revista abreviado: | Phys Rev E.
|
| ISSN: | 1063651X
|
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v70_n1_p10_Castez |
Referencias:
- Timp, G.L., (1999) Nanotechnology, , Springer-Verlag
- Family, F., Vicsek, T., (1985) J. Phys. A, 18, p. L75
- Family, F., (1986) J. Phys. A, 19, p. L441
- Das Sarma, S., Tamborenea, P., (1991) Phys. Rev. Lett., 66, p. 325
- Wilby, M.R., Vvedensky, D.D., Zangwill, A., (1992) Phys. Rev. B, 46, pp. 12-896
- Barabasi, A.L., Stanley, H.E., (1995) Fractal Concepts in Surface Growth, , Cambridge University Press
- Meakin, P., (1998) Fractals, Scaling and Growth far from Equilibrium, , Cambridge University Press
- Sarma, S.D., Chatraphorn, P.P., Toroczkai, Z., (2002) Phys. Rev. E, 65, p. 36144
- Vvedensky, D.D., Zangwill, A., Luse, C.N., Wilby, M.R., (1993) Phys. Rev. E, 48, p. 852
- Costanza, G., (1997) Phys. Rev. E, 55, p. 6501
- Edwards, S.F., Wilkinson, D.R., (1982) Proc. R. Soc. London, Ser. A, 381, p. 17
- Ethier, S.N., Kurtz, T.G., (1986) Markov Processes, , Wiley
- Andersson, H., Britton, T., (2000) Stochastic Epidemic Models and Their Statistical Analysis, Vol. 151 of Lecture Notes in Statistics, , Springer-Verlag
- Castez, M.F., Blum, B., Salvarezza, R.C., Solari, H.G., (2003) Phys. Rev. E, 67, p. 61605
- Wolfram, S., (1983) Rev. Mod. Phys., 55, p. 601
- Meakin, P., Ramanlal, P., Sander, L.M., Ball, R.C., (1986) Phys. Rev. A, 34, p. 5091
- Plischke, M., Rácz, Z., Liu, D., (1987) Phys. Rev. B, 35, p. 3485
- Wolf, D.E., Villain, J., (1990) Europhys. Lett., 13, p. 389
- Predota, M., Kotrla, M., (1996) Phys. Rev. E, 54, p. 3933
- Huang, Z.-F., Gu, B.-L., (1996) Phys. Rev. E, 54, p. 5935
- Baggio, C., Vardavas, R., Vvedensky, D.D., (2001) Phys. Rev. E, 64, p. 45103
- Park, S.C., Kim, D., Park, J.M., (2000) Phys. Rev. E, 62, p. 7642
- Park, S.C., Kim, D., Park, J.M., (2001) Phys. Rev. E, 65, p. 15102
- Barabasi, A.L., (1996) Comput. Mater. Sci., 6, p. 127
- Nattermann, T., Tang, L., (1992) Phys. Rev. A, 45, p. 7156
Citas:
---------- APA ----------
Castez, M.F., Salvarezza, R.C. & Solari, H.G.
(2004)
. Probing universality classes in solid-on-solid deposition. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 70(1), 10.
http://dx.doi.org/10.1103/PhysRevE.70.011605---------- CHICAGO ----------
Castez, M.F., Salvarezza, R.C., Solari, H.G.
"Probing universality classes in solid-on-solid deposition"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 70, no. 1
(2004) : 10.
http://dx.doi.org/10.1103/PhysRevE.70.011605---------- MLA ----------
Castez, M.F., Salvarezza, R.C., Solari, H.G.
"Probing universality classes in solid-on-solid deposition"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 70, no. 1, 2004, pp. 10.
http://dx.doi.org/10.1103/PhysRevE.70.011605---------- VANCOUVER ----------
Castez, M.F., Salvarezza, R.C., Solari, H.G. Probing universality classes in solid-on-solid deposition. Phys Rev E. 2004;70(1):10.
http://dx.doi.org/10.1103/PhysRevE.70.011605
