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The Edwards–Wilkinson model revisited: large-scale simulations of dynamic scaling in 2+1 dimensions

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  • Pal, S
  • Landau, D.P

Abstract

Using extensive simulations of surface growth in the 2+1 dimensional atomistic model of Edwards and Wilkinson (EW), we have calculated both interfacial width and the structure factor, to extract the dynamic exponent z. In contrast to theoretical expectations, finite-size scaling of the data for both surface properties is achieved using z∼1.63, instead of the predicted value of 2.0. A restricted variant of the EW model gives z∼2.0. Clarifying these non-trivial differences in dynamical correlations, now represents an intriguing theoretical challenge.

Suggested Citation

  • Pal, S & Landau, D.P, 1999. "The Edwards–Wilkinson model revisited: large-scale simulations of dynamic scaling in 2+1 dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(3), pages 406-413.
    • Handle: RePEc:eee:phsmap:v:267:y:1999:i:3:p:406-413
    DOI: 10.1016/S0378-4371(98)00641-4
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    Cited by:

    1. Kwak, Wooseop & Kim, Jin Min, 2019. "Random deposition model with surface relaxation in higher dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 87-92.

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