Submonolayer epitaxial growth with long-range „Lévy... diffusion

نویسندگان

  • Jacques G. Amar
  • Fereydoon Family
  • David C. Hughes
چکیده

The effects of long-range ~Lévy! diffusion in submonolayer epitaxial growth are studied via kinetic Monte Carlo simulations and rate equations. Such long-range diffusion may be relevant in the case of liquid-phase epitaxy and electrochemical deposition. Results for the scaling of the submonolayer island density and size distribution are presented as a function of the Lévy distribution exponent b and the ratio D/F of the diffusion rate to the deposition rate. Both oneand two-dimensional Lévy flights ~corresponding to infinitely fast hops! and oneand two-dimensional Lévy walks ~corresponding to finite hopping velocity! are examined. Good agreement is found between theoretical predictions and simulations for the dependence of the island-density scaling exponent x on the Lévy exponent b in both one and two dimensions. @S1063-651X~98!12012-3#

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تاریخ انتشار 1998