Crumpling transition and flat phase of polymerized phantom membranes
Crumpling transition and flat phase of polymerized phantom membranes
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DOI：
10.1103/physreve.79.040101
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发表时间：
2009-04-01
影响因子：
2.4
通讯作者：
Mouhanna, D.
中科院分区：
文献类型：
--
作者：
Kownacki, J-P.;Mouhanna, D.
使用非微扰重整化群方法重新审视聚合体模膜。这使得人们可以研究在任何内部尺寸D和嵌入尺寸d下的起皱转变和低温平坦相，并确定较低的临界尺寸。在我们的近似下，物理膜的褶皱相变是二级的。然而，不排除在最近的Monte Carlo模拟中观察到的弱一阶行为。
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.