Shape of domains in two-dimensional systems: Virtual singularities and a generalized Wulff construction.
Shape of domains in two-dimensional systems: Virtual singularities and a generalized Wulff construction.
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二维系统中域的形状：虚拟奇点和广义武尔夫构造。
DOI：
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发表时间：
1994
影响因子：
8.6
通讯作者：
R. Bruinsma
中科院分区：
文献类型：
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作者：
Joseph Rudnick;R. Bruinsma
我们报道了一种广义的Wulff结构，它允许计算具有取向顺序但没有位置顺序的二维材料的形状。我们证明，对于足够大的区域半径，形状必然会产生数学奇点，类似于最近在朗缪尔单分子膜中观察到的那样。尖端的物理起源被证明与材料的柔软有关，并且从根本上不同于硬晶体形状中的锐角。
We report on a generalized Wulff construction that allows for the calculation of the shape of two-dimensional materials with orientational order but no positional order. We demonstrate that for sufficiently large domain radii, the shape necessarily develops mathematical singularities, similar to those recently observed in Langmuir monolayers. The physical origin of the cusps is shown to be related to the softness of the material and is fundamentally different from that of the sharp angles seen in the shape of hard crystals.