Title

Universality Classes of Self-Avoiding Fixed-Connectivity Membranes

Author(s)/Creator(s)

Mark Bowick, Department of Physics, Syracuse University, Syracuse, NYFollow
Angelo Cacciuto, Syracuse UniversityFollow
Gudmar Thorleifsson, deCODE Genetics, Lynghalsi
Alex Travesset, Syracuse University

Document Type

Article

Date

3-13-2001

Language

English

Disciplines

Physics

Description/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 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 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.

Additional Information

32 pages, 18 eps figures, LaTeX Final published version More information at http://arxiv.org/abs/cond-mat/0006383

Recommended Citation

Bowick, Mark; Cacciuto, Angelo; Thorleifsson, Gudmar; and Travesset, Alex, "Universality Classes of Self-Avoiding Fixed-Connectivity Membranes" (2001). Physics - All Scholarship. 159.
https://surface.syr.edu/phy/159

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.