Crumpling transition and flat phase of polymerized phantom membranes

被引：99

作者：

Kownacki, J-P. ^{[1
]}

Mouhanna, D. ^{[2
]}

机构：

[1] Univ Cergy Pontoise, CNRS, LPTM, UMR 8089, F-85302 Cergy Pontoise, France

[2] UPMC, CNRS, LPTMC, UMR 7600, F-75252 Paris 05, France

来源：

PHYSICAL REVIEW E | 2009年 / 79卷 / 04期

关键词：

internal stresses; lattice theory; membranes; phase transformations; renormalisation; thin films; FLUCTUATIONS; CRYSTALLINE; BEHAVIOR;

D O I：

10.1103/PhysRevE.79.040101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：4

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