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Scaling exponents for driven two-dimensional surface growth

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Abstract

We present results of numerical simulations to estimate scaling exponents associated with driven surface growth in two spatial dimensions. We have simulated the restricted solid-on-solid growth model and used the time- and system-size-dependent interface width and the equal-time height correlation function to determine the exponents. We also discuss the influence of various functional fitting ansatzes to the correlation function. Our best estimates agree with the results of Forrest and Tang obtained for a different growth model.

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References

  1. J. Krug and H. Spohn, inSolids far from Equilibrium: Growth, Morphology and Defects, C. Godreche, ed. (Cambridge University Press, Cambridge, 1991); P. Meakin,Phys. Rep. 235: 191 (1993).

    Google Scholar 

  2. J. Villain,J. Phys. (Paris)I 1:19 (1991).

    Google Scholar 

  3. D. Forster, D. R. Nelson, and J. M. Stephen,Phys. Rev. A 16:732 (1977); M. Kardar, G. Parisi, and Y. C. Zhang,Phys. Rev. Lett. 56:889 (1986); E. Medina, T. Hwa, M. Kardar, and Y. C. Zhang,Phys. Rev. A 39:3053 (1989).

    Google Scholar 

  4. F. Family and T. Vicsek,J. Phys. A 18:L57 (1985).

    Google Scholar 

  5. B. M. Forrest and L.-H. Tang,Phys. Rev. Lett. 64:1405 (1990); L.-H. Tang, B. M. Forrest, and D. E. Wolf,Phys. Rev. A. 45:7162 (1992).

    Google Scholar 

  6. T. Ala-Nissila, T. Hjelt, and J. M. Kosterlitz,Europhys Lett. 19(1):1 (1993); T. Ala-Nissila, T. Hjelt, J. M. Kosterlitz, and O. Venäläinen,J. Stat. Phys. 72:207 (1993).

    Google Scholar 

  7. J. M. Kim and J. M. Kosterlitz,Phys. Rev. Lett. 62:2289 (1989); J. M. Kim, J. M. Kosterlitz, and T. Ala-Nissila,J. Phys. A 24:5569 (1991).

    Google Scholar 

  8. J. M. Kim, M. A. Moore, and A. J. Bray,Phys. Rev. A 44:2345 (1991); D. Ko and F. Seno, cond-mat@babbage.sissa.it no. 9312054 (1993).

    Google Scholar 

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Authors and Affiliations

  1. Department of Electrical Engineering, Tampere University of Technology, P.O. Box 692, FIN-33101, Tampere, Finland

    T. Ala-Nissila & O. Venäläinen

  2. Research Institute for Theoretical Physics, University of Helsinki, FIN-00014 University of Helsinki, Finland

    T. Ala-Nissila

  3. Department of Physics, Brown University, Box 1843, 02912, Providence, Rhode Island

    T. Ala-Nissila

Authors
  1. T. Ala-Nissila
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  2. O. Venäläinen
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Communicated by D. Stauffer

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Ala-Nissila, T., Venäläinen, O. Scaling exponents for driven two-dimensional surface growth. J Stat Phys 76, 1083–1088 (1994). https://doi.org/10.1007/BF02188700

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  • DOI: https://doi.org/10.1007/BF02188700

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