Universality classes of self-avoiding fixed-connectivity membranes |
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Authors: | MJ Bowick A Cacciuto G Thorleifsson A Travesset |
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Institution: | (1) Physics Department, Syracuse University, Syracuse, NY 13244-1130, USA, US;(2) deCODE Genetics, Lynghalsi 1, IS-110, Reykjavik, Iceland, IS |
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Abstract: | We present an analysis of extensive large-scale Monte Carlo simulations of self-avoiding fixed-connectivity membranes for sizes (number of faces) ranging from 512 to 17672 (triangular) plaquettes. Self-avoidance is implemented via
impenetrable plaquettes. We simulate the impenetrable plaquette model in both three and four bulk dimensions. In both cases we find the
membrane to be flat for all temperatures: the size exponent in three dimensions is ν = 0.95(5) (Hausdorff dimension d
H = 2.1(1)). The single flat phase appears, furthermore, to be equivalent to the large bending rigidity phase of non-self-avoiding fixed-connectivity membranes --the roughness exponent in three dimensions is ξ = 0.63(4). This suggests that there is a unique
universality class for flat fixed-connectivity membranes without attractive interactions. Finally, we address some theoretical
and experimental implications of our work.
Received 23 June 2000 and Received in final form 25 October 2000 |
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Keywords: | PACS 87 16 Dg Membranes bilayers and vesicles – 87 16 Ka Filaments microtubules their networks and supramolecular assemblies – 82 70 Uv Surfactants micellar solutions vesicles lamellae amphiphilic systems (hydrophilic and hydrophobic interactions) |
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