Phantom Tubules

Preprint

7 May 1997

preprint
Published by arXiv in arXiv

Abstract

We provide the first numerical evidence for the existence of the tubule phase, predicted by Radzihovsky and Toner (RT), for anisotropic tethered membranes. Incorporating anisotropy into the bending rigidity of a simple model of a phantom tethered membrane with the topology of a disk and free boundary conditions we show that the model indeed has two phase transitions corresponding to the flat-to-tubule and tubule-to-crumpled transitions. For the tubule phase we measure the Flory exponent nu, describing the growth of the tubule radius with the extent of the tubule, and the roughness exponent zeta, which measures the r.m.s. height fluctuations in the extended direction. We find nu = 0.305(14) and zeta = 0.895(60) which are in reasonable agreement with the theoretical predictions of RT, nu = 1/4 and zeta = 1.

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All Related Versions

Version 1, 1997-05-07, ArXiv
Version 2, 1997-06-13, ArXiv
Version 3, 1997-08-12, ArXiv
Published version: Physical Review Letters, 79 (5), 885.

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