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Static phase and dynamic scaling in a deposition model with an inactive species

S. S. Botelho·F. D. A. Aarao Reis
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Abstract

We extend a previously proposed deposition model with two kinds of particles, 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 ~ p^{-η}, with η= 3/2, which is confirmed by numerical simulations. The dynamic scaling relation W_s = p^{-η} f(tp^z) is obtained in very large substrates, with z=η.

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S. S. Botelho, F. D. A. Aarao Reis. 2001-12-13. Static phase and dynamic scaling in a deposition model with an inactive species. https://doi.org/10.1103/physreve.65.032101

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