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arXiv · 1011.6173

Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion

K. Essafi·J. -P. Kownacki·D. Mouhanna
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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.

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K. Essafi, J. -P. Kownacki, D. Mouhanna. 2010-11-29. Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion. https://doi.org/10.1103/physrevlett.106.128102

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