Tethered networks in two dimensions: A low-temperature view

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 4, 1998, Pages 4368-4374

  Lammert, Paul E ^a   Discher, Dennis E ^b  

^a SIMON FRASER UNIVERSITY   (Canada)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243247265     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.4368     Document Type: Article

References (15)

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5. D. H. Boal, Biophys. J. 67, 521 (1994).
6. Due to entanglement problems during the process of cytoskeleton extraction and fixing to a substrate, the precise degree of regularity of the spectrin network is uncertain. From the membrane shear modulus (approximately 10-5 N/m) 5, the stress-free filament length (approximately 10-7 m), and kBT≈4×10-21 N m, the effective dimensionless temperature τ for a Hookean spring model of the network is estimated as τ≈0.04. Such a model is therefore in a relatively low-temperature state.
7. D. Carpentier and P. Le Doussal, cond-mat/9611168;
8. C. Carraro and D. R. Nelson, Phys. Rev. E (to be published).
9. D. H. Boal, U. Seifert, and J. C. Shillcock, Phys. Rev. E 48, 4274 (1993).PLEEE8
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11. See, for instance, D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979).
12. W. Wintz, R. Everaers, and U. Seifert, J. Phys. I 7, 1097 (1997). As we have discussed, a critical point seems to be impossible. It should be noted that the simulations in question are done with an ensemble of fixed volume and fixed shape. The latter restriction may frustrate collapse of the network so as to force the formation of a superlattice (see Fig. 44 of the present reference). Also, the reported results appear to be restricted to mesh areas above the phase coexistence region, except at very low temperature.JPGCE8
13. The conventional Lagrangian strain E with respect to the state M̃ is related by E=(1/2)[(MM-1)T(MN-1)-1].
14. A. A. Abrikosov, L. D. Gor’kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963).
15. M. J. Bowick, J. Phys. I 6, 1321 (1996). JPGCE8