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Surface and bulk properties of ballistic deposition models with bond breaking

Author

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  • Oliveira Filho, Juvenil S.
  • Oliveira, Tiago J.
  • Redinz, José Arnaldo

Abstract

We introduce a new class of growth models, with a surface restructuring mechanism in which impinging particles may dislodge suspended particles, previously aggregated on the same column in the deposit. The flux of these particles is controlled through a probability p. These systems present a crossover, for small values of p, from random to correlated (KPZ) growth of surface roughness, which is studied through scaling arguments and Monte Carlo simulations on one- and two-dimensional substrates. We show that the crossover characteristic time t× scales with p according to t×∼p−y with y=(n+1) and that the interface width at saturation Wsat scales as Wsat∼p−δ with δ=(n+1)/2, where n is either the maximal number of broken bonds or of dislodged suspended particles. This result shows that the sets of exponents y=1 and δ=1/2 or y=2 and δ=1 found in all previous works focusing on systems with this same type of crossover are not universal. Using scaling arguments, we show that the bulk porosity P of the deposits scales as P∼py−δ for small values of p. This general scaling relation is confirmed by our numerical simulations and explains previous results present in literature.

Suggested Citation

  • Oliveira Filho, Juvenil S. & Oliveira, Tiago J. & Redinz, José Arnaldo, 2013. "Surface and bulk properties of ballistic deposition models with bond breaking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2479-2486.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:10:p:2479-2486
    DOI: 10.1016/j.physa.2013.01.051
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