CRUMPLING TRANSITION IN POLYMERIZED MEMBRANES

CRUMPLING TRANSITION IN POLYMERIZED MEMBRANES
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DOI:
10.1103/physrevlett.58.2774
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发表时间:
1987-06-29
影响因子:
8.6
通讯作者:
NELSON, DR
NELSON, DR
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
KANTOR, Y;NELSON, DR

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用蒙特卡罗方法研究了有限弯曲刚度κ‘对无自回避的柔性聚合表面的影响。与线性聚合物或液膜不同,这些表面经历了显著的有限温度皱缩转变,具有发散的比热。对于较小的κ‘/k BT,表面起皱,回转半径RG增长为ln L 1/2,其中L是未起皱薄膜的线性尺寸。对于大的κ‘/k B T,我们发现表面仍然是平坦的,即R G∼L。我们的结果强烈地表明,聚合自回避膜中也存在有限温度的皱缩转变。
The effect of a finite bending rigidity κ’on flexible, polymerized surfaces without self-avoidance is studied via the Monte Carlo method. Unlike linear polymers or liquid membranes, these surfaces undergo a remarkable finite-temperature crumpling transition, with a diverging specific heat. For small κ’/k B T, the surface is crumpled, and the radius of gyration R G grows as ln L 1/2, where L is the linear size of uncrumpled membrane. For large κ’/k B T, we find that the surface remains flat, ie, R G∼ L. Our results strongly suggest a finite-temperature crumpling transition in polymerized self-avoiding membranes as well.