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首页> 外文期刊>The European physical journal, E. Soft matter >Statistical mechanics of two-dimensional foams: Physical foundations of the model
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Statistical mechanics of two-dimensional foams: Physical foundations of the model

机译:二维泡沫的统计力学:模型的物理基础

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In a recent series of papers, a statistical model that accounts for correlations between topological and geometrical properties of a two-dimensional shuffled foam has been proposed and compared with experimental and numerical data. Here, the various assumptions on which the model is based are exposed and justified: the equiprobability hypothesis of the foam configurations is argued. The range of correlations between bubbles is discussed, and the mean-field approximation that is used in the model is detailed. The two self-consistency equations associated with this mean-field description can be interpreted as the conservation laws of number of sides and bubble curvature, respectively. Finally, the use of a "Grand-Canonical" description, in which the foam constitutes a reservoir of sides and curvature, is justified.
机译:在最近的一系列论文中,提出了一种统计模型,该模型考虑了二维混洗泡沫的拓扑和几何特性之间的相关性,并将其与实验和数值数据进行了比较。在此,暴露并证明了模型所基于的各种假设:论证了泡沫构造的等概率性假设。讨论了气泡之间的相关范围,并详细说明了模型中使用的平均场近似值。与该均值场描述相关的两个自洽方程可以分别解释为边数和气泡曲率的守恒定律。最后,使用泡沫构成侧边和曲率的容器的“大正则”描述是合理的。

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