Gellation of rigid filament networks

B. A. DiDonna; D. C. Morse

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arXiv · cond-mat/0703418

Gellation of rigid filament networks

B. A. DiDonna·D. C. Morse

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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 l_c, N(t) increases with time as N(t) ~ const. + cL^2 l_c ln(t), where c is concentration and L is rod length.

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B. A. DiDonna, D. C. Morse. 2007-03-15. Gellation of rigid filament networks. https://arxiv.org/abs/cond-mat/0703418

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