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.
ASJC Scopus subject areas
- Physics and Astronomy(all)