Percolation in Cluster-Cluster Aggregation Processes

Дата и время публикации : 1995-04-12T16:20:56Z

Авторы публикации и институты :
Anwar Hasmy
Rémi Jullien

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: RevTex, 5 pages + 7 postscript figures, compressed using “uufiles”
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: Numerical simulations of Diffusion-Limited and Reaction-Limited Cluster-Cluster Aggregation processes of identical particles are performed in a two-dimensional box. It is shown that, for concentrations larger than a characteristic gel concentration, the morphology of the resulting spanning cluster at the gel time $t_g$ exhibits a crossover length $L_c$ between percolation ($l>L_c$) and aggregation ($l<L_c$). $L_c$ vanishes when increasing $c$, and, at a critical concentration value $c_p$ (where $L_c rightarrow 0$) the entire spanning cluster scales as the percolating cluster obtained by standard percolation. Even if for $c>c_p$ the long-range correlations are similar to that of percolation, the vanishing links in the structure suggest that an homogeneous regime appears at small scales.

Category: Physics