TOPOLOGY CHANGES IN FLUID MEMBRANES
TOPOLOGY CHANGES IN FLUID MEMBRANES
复制标题
DOI：
10.1103/physreva.46.3037
复制
发表时间：
1992-09-15
影响因子：
2.9
通讯作者：
RAO, M
中科院分区：
文献类型：
--
作者：
BOAL, DH;RAO, M
用曲率哈密顿量和边界张力模型研究了固定面积流体膜的形状变化。利用变分原理研究了轴对称空间中的零温度能量学。对于零自发曲率，能量最小的形状只有圆盘和球体。这些构型之间的能垒高度被确定为哈密顿参数的函数。通过蒙特卡罗模拟研究了形状的热波动。在非零温度下，从开放到闭合拓扑的“相变”被确定为刚性和线张力的函数。即使在膜刚性为零的情况下，这种转变仍然存在。转变的能量学与支化聚合物在流体膜上的结垢行为有关。
Shape changes of a fluid membrane with fixed area modeled by a curvature Hamiltonian and a boundary line tension are investigated. The zero-temperature energetics are studied using a variational principle in the space of axisymmetric shapes. For zero spontaneous curvature, the only energy minimizing shapes are the disk and the sphere. The energy barrier heights between these configurations are determined as a function of the Hamiltonian parameters. Thermal fluctuations of the shape are studied by means of a Monte Carlo simulation. The "phase transition" from open to closed topology is determined as a function of the rigidity and line tension at nonzero temperature. The transition is found to persist even at zero membrane rigidity. The energetics of the transition are shown to be related to the branched polymer scaling behavior of the fluid membrane.