Statistical Mechanics of a Cat's Cradle

Details Statistical Mechanics of a Cat's Cradle Statistical Mechanics of a Cat's Cradle

2006-07-14

arxiv.org/abs/cond-mat/0607352v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures

Scientific paper

10.1088/1367-2630/8/11/273

It is believed that, much like a cat's cradle, the cytoskeleton can be thought of as a network of strings under tension. We show that both regular and random bond-disordered networks having bonds that buckle upon compression exhibit a variety of phase transitions as a function of temperature and extension. The results of self-consistent phonon calculations for the regular networks agree very well with computer simulations at finite temperature. The analytic theory also yields a rigidity onset (mechanical percolation) and the fraction of extended bonds for random networks. There is very good agreement with the simulations by Delaney et al. (Europhys. Lett. 2005). The mean field theory reveals a nontranslationally invariant phase with self-generated heterogeneity of tautness, representing ``antiferroelasticity''.

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