Interparticle interaction and structure of deposits for competitive model in (2+1) dimensions

L. A. Bulavin, N. I. Lebovka, V. Yu Starchenko, N. V. Vygornitskii

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A competitive (2+1)-dimensional model of deposit formation, based on the combination of random sequential absorption deposition (RSAD), ballistic deposition (BD) and random deposition (RD) models, is proposed. This model was named as RSAD1-s(RDfBD1-f)s. It allows to consider different cases of interparticle interactions from complete repulsion between near-neighbors in the RSAD model (s=0) to sticking interactions in the BD model (s=1, f=0) or absence of interactions in the RD model (s=1, f=0). The ideal checkerboard-ordered structure was observed for the pure RSAD model (s=0) in the limit of h → ∞. Defects in the ordered structure were observed at small h. The density of deposit p versus system size L dependencies were investigated and the scaling parameters and values of p =p(L=∞) were determined. Dependencies of p versus parameters of the competitive model s and f were studied. We observed the anomalous behavior of the deposit density p with change of the interparticle repulsion, which goes through minimum on change of the parameter s. For pure RSAD model, the concentration of defects decreases with h increase in accordance with the critical law ρ ∝ h -χRSAD, where χRSAD ≈ 0.119 ± 0.04.

Original languageEnglish
Pages (from-to)505-512
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume328
Issue number3-4
DOIs
StatePublished - Oct 15 2003
Externally publishedYes

Funding

This work was supported in part by the NASU under the program “Nanosystems, Nanomaterials and Nanotechnologies” and Grants No. 2.16.1.4 (0102V007058) and 2.16.2.1(0102V007048).

Keywords

  • Ballistic
  • Defects
  • Deposition models
  • Interparticle interaction
  • Random
  • Random sequential absorption
  • Scaling

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