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.
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References
F. Family and T. Vicsek, J. Phys. A 18, L75 (1985)
P. Meakin, P. Ramanlal, L.M. Sander and R.C. Ball, Phys. Rev. A 34, 5091 (1986)
M. Plischke, Z. Rácz and D. Liu, Phys. Rev. B 35, 3485 (1987)
J.M. Kim and J.M. Kosterlitz, Phys. Rev. Lett., 62, 2289 (1989)
R. Jullien and R. Botet, 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)
M. Kardar, G. Parisi and Y.-C. Zhang, Phys. Rev. Lett., 56, 889 (1986)
J. Villain, J. Physique I, 1, 19 (1991)
S.F. Edwards and D.R. Wilkinson, Proc. Roy. Soc. London A 381, 17 (1982)
M.J. Void, J. Colloid Interface Sci., 18, 684 (1963); D.M. Sutherland, 22, 300 (1966)
H.J. Leamy, G.H. Gilmer and A.G. Dirks, in Current Topics in Materials Science, Vol.6, edited by E. Kalids (North-Holland, Amsterdan, 1980), p.309
J.D. Weeks, in Ordering in Strongly Fluctuating Condensed Matter Systems, edited by T. Riste (Plenum, New York, 1980), p.293
F. Family, J. Phys. A 19, L441 (1986)
M. Eden, in Symposium on Information Theory in Biology, edited by H.P. Yockey (Pergamon Press, New York, 1958), p. 359
E. Medina, T. Hwa, M. Kardar and Y.-C. Zhang, Phys. Rev. A, 39, 3035 (1989)
H. Yan, D. Kessler and L.M. Sander, Phys. Rev. Lett., 64, 926 (1990)
H. Guo, B. Grossmann and M. Grant, Phys. Rev. Lett., 64, 1262 (1990)
B.M. Forrest and L. Tang, Phys. Rev. Lett., 64, 1405 (1990)
Y.P. Pellegrini and R. Jullien, Phys. Rev. Lett., 64, 1745 (1990)
H. Yan and D.A. Kessler, Phys. Rev. Lett., 65, 661 (1990)
H. Yan, D.A. Kessler and L.M. Sander, J. Phys. A, 24, L1079 (1991)
H. Yan, D.A. kessler and L.M. Sander, Phys. Rev. Lett., 68, 1249 (1992)
J.G. Amar and F. Family, Phys. Rev. Lett., 64, 543 (1990)
B. Derrida and O. Golinelli, Phys. Rev. A, 41, 4160 (1990)
L. Tang, T. Natterman and B. Forrest, Phys. Rev. Lett., 65, 2422 (1990)
L.M. Sander and H. Yan, Phys. Rev. A, 44, 4885 (1991)
D.E. Wolf and J. Villain, Europhys. Lett., 13, 389 (1990)
Z.-W. Lai and S. Das Sarma, Phys. Rev. Lett., 66, 2348 (1991)
S. Das Sarma and P. Tamborenea, Phys. Rev. Lett., 66, 325 (1991)
L. Goluborid and R. Bruinsma, Phys. Rev. Lett., 66, 321 (1991)
C. Herring, in The Physics of Powder Metallurgy, edited by W.E. Kingston (McGraw-Hill, New York, 1951); W.W. Mullins, J. Appl. Phys., 28, 333 (1957); ibid., 30, 77 (1959)
H. Yan, to be published
D.A. Kessler, H. Levine and L.M. Sander, to be published
Acknowledgement
The work reported here has been supported by NSF grants No. DMR88-15908 and No. DMR91-17249 and by DOE under grant DE-FG-0285ER54 189.
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Yan, H., Kessler, D.A. & Sander, L.M. Kinetic Roughening in Surface Growth. MRS Online Proceedings Library 278, 237–247 (1992). https://doi.org/10.1557/PROC-278-237
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DOI: https://doi.org/10.1557/PROC-278-237