Universality classes of self-avoiding fixed-connectivity membranes

M. J. Bowick, A. Cacciuto, G. Thorleifsson, A. Travesset

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


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 v = 0.95(5) (Hausdorff dimension dH = 2.1(1)). The single flat phase appear, 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.

Original languageEnglish (US)
Pages (from-to)149-160
Number of pages12
JournalEuropean Physical Journal E
Issue number2
StatePublished - May 11 2001

ASJC Scopus subject areas

  • Biotechnology
  • Biophysics
  • General Chemistry
  • General Materials Science
  • Surfaces and Interfaces


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