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

Autor:	F. D. A. Aarão Reis, S. S. Botelho
Rok vydání:	2001
Předmět:	Combinatorics Dynamic scaling Statistical Mechanics (cond-mat.stat-mech) Phase (matter) FOS: Physical sciences Limiting Atomic physics Condensed Matter - Statistical Mechanics Deposition (law) Mathematics Incidence (geometry) k-nearest neighbors algorithm
Zdroj:	Physical review. E, Statistical, nonlinear, and soft matter physics. 65(3 Pt 1)
ISSN:	1539-3755
Popis:	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^{-\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. Comment: 4 pages, 5 figures, to appear in Phys. Rev. E (2002)
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0461dc1ff6313c43acc30fd9fd725f1 https://pubmed.ncbi.nlm.nih.gov/11909124 Zobrazit plný text záznamu