Surface and bulk properties of ballistic deposition models with bond breaking

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

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 10, 2479-2486

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.

Keywords: Surface growth; Growth models; Roughness scaling; Porosity (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:10:p:2479-2486

DOI: 10.1016/j.physa.2013.01.051

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