Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion
Statistical Mechanics
2012-02-28 v1
Abstract
Anisotropic D-dimensional polymerized phantom membranes are investigated within a nonperturbative renormalization group (NPRG) framework. One focuses on the transition between a high-temperature, crumpled, phase and a low-temperature, tubular, phase where the membrane is flat along one direction and crumpled along the other ones. While the upper critical dimension - Duc=5/2 - is close to D=2 the weak-coupling perturbative approach is qualitatively and quantitatively wrong. We show that our approach is free of the problems encountered within the perturbative framework and provides physically meaningful critical quantities.
Keywords
Cite
@article{arxiv.1011.6173,
title = {Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion},
author = {K. Essafi and J. -P. Kownacki and D. Mouhanna},
journal= {arXiv preprint arXiv:1011.6173},
year = {2012}
}
Comments
4 pages, 3 figures