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Updated: Aug 2, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Static phase and dynamic scaling in a deposition model with an inactive species
S S Botelho1, F D A Aarão Reis
1Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, 24210-340 Niterói, Rio de Janeiro, Brazil.
Abstract:
We extend a previously proposed deposition model with two kinds of particle, considering the restricted solid-on-solid condition. The probability of incidence of particle C (A) is p (1-p). Aggregation is possible if the top of the column of incidence has a nearest neighbor A and if the difference in the heights of neighboring columns does not exceed 1. For any value of p>0, the deposit attains some static configuration, in which no deposition attempt is accepted. In 1+1 dimensions, the interface width has a limiting value W(s) approximately p(-eta), with eta=3/2, which is confirmed by numerical simulations. The dynamic scaling relation W(s)=p(-eta)f(tp(z)) is obtained in very large substrates, with z=eta.
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