2020 Impact factor 1.890
Soft Matter and Biological Physics


Eur. Phys. J. E 5, 149-160

Universality classes of self-avoiding fixed-connectivity membranes

M.J. Bowick1, A. Cacciuto1, G. Thorleifsson2 and A. Travesset1

1  Physics Department, Syracuse University, Syracuse, NY 13244-1130, USA
2  deCODE Genetics, Lynghalsi 1, IS-110, Reykjavik, Iceland

bowick@physics.syr.edu
cacciuto@physics.syr.edu
thorleif@decode.is
alex@physics.syr.edu

(Received 23 June 2000 and Received in final form 25 October 2000)

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 $\nu=0.95(5)$ (Hausdorff dimension dH=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 $\xi=0.63(4)$. 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.

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).


© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2001