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Numerical Observation of a Tubular Phase in Anisotropic Membranes

Mark Bowick·Marco Falcioni·Gudmar Thorleifsson
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Abstract

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 $ν_F$ and the roughness exponent $ζ$. We find $ν_F=0.305(14)$ and $ζ=0.895(60)$, which are in reasonable agreement with the theoretical predictions of RT --- $ν_F=1/4$ and $ζ=1$.

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Mark Bowick, Marco Falcioni, Gudmar Thorleifsson. 1997-08-12. Numerical Observation of a Tubular Phase in Anisotropic Membranes. https://doi.org/10.1103/physrevlett.79.885

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