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Kinetic Roughening in Surface Growth

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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

  1. F. Family and T. Vicsek, J. Phys. A 18, L75 (1985)

    Article  Google Scholar 

  2. P. Meakin, P. Ramanlal, L.M. Sander and R.C. Ball, Phys. Rev. A 34, 5091 (1986)

    Article  CAS  Google Scholar 

  3. M. Plischke, Z. Rácz and D. Liu, Phys. Rev. B 35, 3485 (1987)

    Article  CAS  Google Scholar 

  4. J.M. Kim and J.M. Kosterlitz, Phys. Rev. Lett., 62, 2289 (1989)

    Article  CAS  Google Scholar 

  5. 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)

    Article  CAS  Google Scholar 

  6. M. Kardar, G. Parisi and Y.-C. Zhang, Phys. Rev. Lett., 56, 889 (1986)

    Article  CAS  Google Scholar 

  7. J. Villain, J. Physique I, 1, 19 (1991)

    Article  Google Scholar 

  8. S.F. Edwards and D.R. Wilkinson, Proc. Roy. Soc. London A 381, 17 (1982)

    Article  Google Scholar 

  9. M.J. Void, J. Colloid Interface Sci., 18, 684 (1963); D.M. Sutherland, 22, 300 (1966)

    Article  Google Scholar 

  10. 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

    CAS  Google Scholar 

  11. J.D. Weeks, in Ordering in Strongly Fluctuating Condensed Matter Systems, edited by T. Riste (Plenum, New York, 1980), p.293

  12. F. Family, J. Phys. A 19, L441 (1986)

    Article  CAS  Google Scholar 

  13. M. Eden, in Symposium on Information Theory in Biology, edited by H.P. Yockey (Pergamon Press, New York, 1958), p. 359

  14. E. Medina, T. Hwa, M. Kardar and Y.-C. Zhang, Phys. Rev. A, 39, 3035 (1989)

    Article  Google Scholar 

  15. H. Yan, D. Kessler and L.M. Sander, Phys. Rev. Lett., 64, 926 (1990)

    Article  CAS  Google Scholar 

  16. H. Guo, B. Grossmann and M. Grant, Phys. Rev. Lett., 64, 1262 (1990)

    Article  CAS  Google Scholar 

  17. B.M. Forrest and L. Tang, Phys. Rev. Lett., 64, 1405 (1990)

    Article  CAS  Google Scholar 

  18. Y.P. Pellegrini and R. Jullien, Phys. Rev. Lett., 64, 1745 (1990)

    Article  CAS  Google Scholar 

  19. H. Yan and D.A. Kessler, Phys. Rev. Lett., 65, 661 (1990)

    Article  CAS  Google Scholar 

  20. H. Yan, D.A. Kessler and L.M. Sander, J. Phys. A, 24, L1079 (1991)

    Article  Google Scholar 

  21. H. Yan, D.A. kessler and L.M. Sander, Phys. Rev. Lett., 68, 1249 (1992)

    Article  CAS  Google Scholar 

  22. J.G. Amar and F. Family, Phys. Rev. Lett., 64, 543 (1990)

    Article  CAS  Google Scholar 

  23. B. Derrida and O. Golinelli, Phys. Rev. A, 41, 4160 (1990)

    Article  CAS  Google Scholar 

  24. L. Tang, T. Natterman and B. Forrest, Phys. Rev. Lett., 65, 2422 (1990)

    Article  CAS  Google Scholar 

  25. L.M. Sander and H. Yan, Phys. Rev. A, 44, 4885 (1991)

    Article  CAS  Google Scholar 

  26. D.E. Wolf and J. Villain, Europhys. Lett., 13, 389 (1990)

    Article  CAS  Google Scholar 

  27. Z.-W. Lai and S. Das Sarma, Phys. Rev. Lett., 66, 2348 (1991)

    Article  CAS  Google Scholar 

  28. S. Das Sarma and P. Tamborenea, Phys. Rev. Lett., 66, 325 (1991)

    Article  Google Scholar 

  29. L. Goluborid and R. Bruinsma, Phys. Rev. Lett., 66, 321 (1991)

    Article  Google Scholar 

  30. 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)

  31. H. Yan, to be published

  32. D.A. Kessler, H. Levine and L.M. Sander, to be published

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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

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