Numerical observation of a tubular phase in anisotropic membranes

Mark Bowick, Marco Falcioni, Gudmar Thorleifsson

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


We provide the first numerical evidence for the existence of a tubular phase, predicted by Radzihovsky and Toner (RT), for anisotropic tethered membranes without self-avoidance. Incorporating anisotropy into the bending rigidity of a simple model of a tethered membrane with free boundary conditions, we show that the model indeed has two phase transitions corresponding to the flat-to-tubular and tubular-to-crumpled transitions. For the tubular phase we measure the Flory exponent νF and the roughness exponent ζ. We find νF=0.305(14) and ζ=0.895(60), which are in reasonable agreement with the theoretical predictions of RT; νF=1/4 and ζ=1.

Original languageEnglish (US)
Pages (from-to)885-888
Number of pages4
JournalPhysical Review Letters
Issue number5
StatePublished - Jan 1 1997

ASJC Scopus subject areas

  • General Physics and Astronomy


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