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

TL;DR

This study introduces a (2+1)-dimensional competitive deposit formation model combining RSAD, BD, and RD, analyzing how interparticle interactions influence deposit structure, density, and defect concentration.

Contribution

It proposes a novel competitive model integrating multiple deposition mechanisms and investigates the effects of interparticle interactions on deposit properties and defect behavior.

Findings

Ideal checkerboard structure observed in pure RSAD at large height.

Deposit density exhibits anomalous behavior with respect to interparticle repulsion.

Defect concentration decreases with height following a critical law.

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 RSAD$_{1-s}$(RD$_f$BD$_{1-f}$)$_s$. 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 $h \to \infty$. 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 $p_\infty=p(L=\infty)$ were determined. Dependencies of $p$ versus parameters of the competitive model $s$ and $f$ were studied. We observed the anomalous behaviour of the eposit density $p_\infty$ with change of the inter-particle 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 $\rho\propto h^{-\chi_{RSAD}}$, where $\chi_{RSAD} \approx 0.119 \pm 0.04$.