Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-26T09:49:26.841Z Has data issue: false hasContentIssue false

Kinetic Roughening in Surface Growth

Published online by Cambridge University Press:  26 February 2011

Hong Yan
Affiliation:
Dept. of Materials Science & Engineering, University of Washington, Seattle, WA 98195
David A. Kessler
Affiliation:
Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI 48109
Leonard M. Sander
Affiliation:
Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI 48109
Get access

Abstract

In nonequilibrium surface growth processes, such as molecular beam epitaxy and chemical vapor deposition, kinetic roughening plays a significant role in determining surface morphology. The stochastic dynamics in the processes induce novel scaling in surface roughness with respect to growth time and system sizes. We present here a series of numerical simulation studies of simple theoretical models, such as ballistic deposition model and biased solid-on-solid model, to demonstrate the dynamical scaling and phase transitions in a class of surface growth problems in the context of the Kardar-Parisi-Zhang theory. Different dynamical processes, such as desorption and surface diffusion, are shown to have dramatic effects on the scaling and thus the surface structures.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Family, F. and Vicsek, T., J. Phys. A 18, L75 (1985)Google Scholar
[2] Meakin, P., Ramanlal, P., Sander, L.M. and Ball, R.C., Phys. Rev. A 34, 5091 (1986)Google Scholar
[3] Plischke, M., Râicz, Z. and Liu, D., Phys. Rev. B 35, 3485 (1987)CrossRefGoogle Scholar
[4] Kim, J.M. and Kosterlitz, J.M., Phys. Rev. Lett., 62, 2289 (1989)Google Scholar
[5] Jullien, R. and Botet, R., Phys. Rev. Lett., 54, 2055 (1985); J.G. Zabolitzky and D. Stauffer, Phys. Rev. A 34, 3825 (1985); D.E. Wolf and J. Kertész, Europhys. Lett., 4, 651 (1987)Google Scholar
[6] Kardar, M., Parisi, G. and Zhang, Y.-C., Phys. Rev. Lett., 56, 889 (1986)Google Scholar
[7] Villain, J., J. Physique, I1, 19 (1991)Google Scholar
[8] Edwards, S.F. and Wilkinson, D.R., Proc. Roy. Soc. London A 381, 17 (1982)Google Scholar
[9] Void, M.J., J. Colloid Interface Sci., 18, 684 (1963); D.M. Sutherland, 22, 300 (1966)Google Scholar
[10] Leamy, H.J., Gilmer, G.H. and Dirks, A.G., in Current Topics in Materials Science, Vol.6, edited by Kalids, E. (North-Holland, Amsterdan, 1980), p.309 Google Scholar
[11] Weeks, J.D., in Ordering in Strongly Fluctuating Condensed Matter Systems, edited by Riste, T. (Plenum, New York, 1980), p.293 Google Scholar
[12] Family, F., J. Phys. A 19, L441 (1986)Google Scholar
[13] Eden, M., in Symposium on Information Theory in Biology, edited by Yockey, H.P. (Pergamon Press, New York, 1958), p. 359 Google Scholar
[14] Medina, E., Hwa, T., Kardar, M. and Zhang, Y.-C., Phys. Rev. A, 39, 3035 (1989)Google Scholar
[15] Yan, H., Kessler, D. and Sander, L.M., Phys. Rev. Lett., 64, 926 (1990)Google Scholar
[16] Guo, H., Grossmann, B. and Grant, M., Phys. Rev. Lett., 64, 1262 (1990)CrossRefGoogle Scholar
[17] Forrest, B.M. and Tang, L., Phys. Rev. Lett., 64, 1405 (1990)CrossRefGoogle Scholar
[18] Pellegrini, Y.P. and Jullien, R., Phys. Rev. Lett., 64, 1745 (1990)CrossRefGoogle Scholar
[19] Yan, H. and Kessler, D.A., Phys. Rev. Lett., 65, 661 (1990)CrossRefGoogle Scholar
[20] Yan, H., Kessler, D.A. and Sander, L.M., J. Phys. A, 24, L1079 (1991)Google Scholar
[21] Yan, H., kessler, D.A. and Sander, L.M., Phys. Rev. Lett., 68, 1249 (1992)Google Scholar
[22] Amar, J.G. and Family, F., Phys. Rev. Lett., 64, 543 (1990)Google Scholar
[23] Derrida, B. and Golinelli, O., Phys. Rev. A, 41, 4160 (1990)Google Scholar
[24] Tang, L., Natterman, T. and Forrest, B., Phys. Rev. Lett., 65, 2422 (1990)Google Scholar
[25] Sander, L.M. and Yan, H., Phys. Rev. A, 44, 4885 (1991)Google Scholar
[26] Wolf, D.E. and Villain, J., Europhys. Lett., 13, 389 (1990)Google Scholar
[27] Lai, Z.-W. and Sarma, S. Das, Phys. Rev. Lett., 66, 2348 (1991)Google Scholar
[28] Sarma, S. Das and Tamborenea, P., Phys. Rev. Lett., 66, 325 (1991)CrossRefGoogle Scholar
[29] Goluborid, L. and Bruinsma, R., Phys. Rev. Lett., 66, 321 (1991)Google Scholar
[30] Herring, C., in The Physics of Powder Metallurgy, edited by Kingston, W.E. (McGraw-Hill, New York, 1951); W.W. Mullins, J. Appl. Phys., 28, 333 (1957); 30, 77 (1959)Google Scholar
[31] Yan, H., to be published Google Scholar
[32] Kessler, D.A., Levine, H. and Sander, L.M., to be published Google Scholar