Gellation of rigid filament networks
Abstract
We consider a model for gelation of rigid rods, in which rods that are initially placed at random undergo diffusion, and form cross-links when they collide. In the limit of point-like cross-links, the number N of croslinks per rod approaches N ~ 3.53. In a model with compliant cross-links of maximum length lc, N(t) increases with time as N(t) ~ const. + cL2 lc ln(t), where c is concentration and L is rod length.
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