As the aggregation process continues, larger clusters form. The growth occurs mainly through encounters between different clusters, and therefore one refers to cluster-cluster aggregation process. The resulting clusters are irregular, but statistically self-similar. They are examples of mass fractals, whereby their mass M grows with their typical size characterized by the radius of gyration Rg as a power-law
where d is the mass fractal dimension. Depending whether the aggregation is fast or slow, one refers to diffusion limited cluster aggregation (DLCA) or reaction limited cluster aggregation (RLCA). The clusters have different characteristics in each regime. DLCA clusters are loose and ramified (d ≈ 1.8), while the RLCA clusters are more compact (d ≈ 2.3). The cluster size distribution is also different in these two regimes. DLCA clusters are relatively monodisperse, while the size distribution of RLCA clusters is very broad.
The larger the cluster size, the faster their settling velocity. Therefore, aggregating particles sediment and this mechanism provides a way for separating them from suspension. At higher particle concentrations, the growing clusters may interlink, and form a particle gel. Such a gel is an elastic solid body, but differs from ordinary solids by having a very low elastic modulus.
Read more about this topic: Particle Aggregation
Other articles related to "stages, stage, later stages":
... of the classification system himself has argued that age classification utilizing the Tanner stages represents invalid use ... Tanner stages do not match with chronological age but rather maturity stages and thus are non-diagnostic for age estimation ...
... Stage 6 Result Cyclist Country Team Time 1 Ivan Dominguez Cuba TUP 3h 05'07" 2 Andrew Pinfold Canada SYM s.t ...
... is believed to have existed in four major stages, the final stage being split between three smaller sub-stages ... Each stage saw a new shoreline elevation of the lake as ice or earthen moraine dams were built or gave way, often over brief spans of time ...
... Rupert continued to impress militarily ... By 1644, now the Duke of Cumberland and Earl of Holderness, he led the relief of Newark and York and its castle ...
Famous quotes containing the word stages:
“But parents can be understanding and accept the more difficult stages as necessary times of growth for the child. Parents can appreciate the fact that these phases are not easy for the child to live through either; rapid growth times are hard on a child. Perhaps its a small comfort to know that the harder-to-live-with stages do alternate with the calmer times,so parents can count on getting periodic breaks.”
—Saf Lerman (20th century)
“Whoeer has travelled lifes dull round,
Whereer his stages may have been,
May sigh to think he still has found
The warmest welcome, at an inn.”
—William Shenstone (17141763)