Clustering in Interfering Binary Mixtures

Clustering in Interfering Binary Mixtures
复制标题

干扰二元混合物中的聚类

DOI:
10.1007/978-3-642-22935-0_55
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发表时间:
2011
影响因子:
0.8
通讯作者:
A. Streib
A. Streib
中科院分区:
数学3区
文献类型:
--
作者:
S. Miracle;Dana Randall;A. Streib

文献摘要

被引文献

相似文献

胶体是一种分子悬浮在另一种分子中的二元混合物。据信,在低密度下,典型的构型将充分混合,而在高密度下,它们将分离成簇。我们的特点是高和低密度相的离散干扰二元混合物的一般家庭,通过显示,他们表现出“聚类属性”在高密度,而不是在低密度。聚类性质表明,将存在具有非常高的面积与周长比和非常高的一种类型分子密度的区域。一个特殊的情况是正方形和菱形的Z2对应于伊辛模型在固定磁化的混合物。
Colloids are binary mixtures of molecules with one type of molecule suspended in another. It is believed that at low density typical configurations will be well-mixed throughout, while at high density they will separate into clusters. We characterize the high and low density phases for a general family of discrete interfering binary mixtures by showing that they exhibit a "clustering property" at high density and not at low density. The clustering property states that there will be a region that has very high area to perimeter ratio and very high density of one type of molecule. A special case is mixtures of squares and diamonds on Z2 which corresond to the Ising model at fixed magnetization.