Tongye Shen and Peter G Wolynes 2006 New J. Phys. 8 273 doi:10.1088/1367-2630/8/11/273
Statistical mechanics of a cat's cradle
Tongye Shen and Peter G Wolynes1
Show affiliationsIt 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 (2005 Europhys. Lett. 72 990). The mean field theory reveals a nontranslationally invariant phase with self-generated heterogeneity of tautness, representing 'antiferroelasticity'.
- PACS
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87.15.La Mechanical properties
87.15.R- Reactions and kinetics
87.16.Ka Filaments, microtubules, their networks, and supramolecular assemblies
- Subjects
- Dates
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Issue 11 (November 2006)
Received 31 August 2006
Published 16 November 2006
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Statistical mechanics of a cat's cradle
Tongye Shen and Peter G Wolynes 2006 New J. Phys. 8 273
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