Crumpling transition and flat phase of polymerized phantom membranes
Statistical Mechanics
2009-11-13 v4 Soft Condensed Matter
High Energy Physics - Theory
Abstract
Polymerized phantom membranes are revisited using a nonperturbative renormalization group approach. This allows one to investigate both the crumpling transition and the low-temperature, flat, phase in any internal dimension D and embedding dimension d, and to determine the lower critical dimension. The crumpling phase transition for physical membranes is found to be of second order within our approximation. A weak first-order behavior, as observed in recent Monte Carlo simulations, is however not excluded.
Keywords
Cite
@article{arxiv.0811.0884,
title = {Crumpling transition and flat phase of polymerized phantom membranes},
author = {J. -P. Kownacki and D. Mouhanna},
journal= {arXiv preprint arXiv:0811.0884},
year = {2009}
}
Comments
4 pages, 1 figure, version published in PRE