Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-05-07
Phys. Rev. Lett. 79 (1997) 885
Physics
Condensed Matter
Statistical Mechanics
8 pages, LaTeX, REVTEX, final published version
Scientific paper
10.1103/PhysRevLett.79.885
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 $\zeta$. 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
Thorleifsson Gudmar
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