TY - JOUR
T1 - Numerical observation of a tubular phase in anisotropic membranes
AU - Bowick, Mark
AU - Falcioni, Marco
AU - Thorleifsson, Gudmar
PY - 1997/1/1
Y1 - 1997/1/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.79.885
DO - 10.1103/PhysRevLett.79.885
M3 - Article
AN - SCOPUS:0002088480
SN - 0031-9007
VL - 79
SP - 885
EP - 888
JO - Physical Review Letters
JF - Physical Review Letters
IS - 5
ER -