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 \nu_F and the roughness exponent \zet. We find \nu_F=0.305(14) and \zeta=0.895(60), which are in reasonable agreement with the theoretical predictions of RT --- \nu_F=1/4 and \zeta=1.
Bowick, Mark; Falcioni, Marco; and Thorleifsson, Gudmar, "Numerical Observation of a Tubular Phase in Anisotropic Membranes" (1997). Physics. 165.
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