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The energy of fcc and hcp foams.
Soft Matter ( IF 3.4 ) Pub Date : 2020-08-06 , DOI: 10.1039/d0sm00820f
S Hutzler 1 , F F Dunne 1 , A M Kraynik 2 , D Weaire 1
Affiliation  

We present Surface Evolver evaluations of the difference in energy between face-centred cubic (fcc) and hexagonal close-packed (hcp) foams in the usual idealized model, for liquid fractions ranging from the dry to the wet limit. The difference vanishes in both limits, and favours hcp for all intermediate liquid fractions, as has been proven. The maximum relative energy difference is very small, of the order of 10−5. The asymptotic dependence on liquid fraction is non-analytic in both limits: we present explicit expressions in both cases, derived from first principles. They have been obtained from identifying node interactions (dry limit) and contact interactions (wet limit) as the respective sources for energy differences between fcc and hcp. The wet limit is well described by Morse–Witten theory which has proven to be very powerful for the analytic computation of the surface energy of slightly deformed bubbles.

中文翻译:

FCC和HCP泡沫的能量。

我们介绍了Surface Evolver在通常的理想化模型中对面心立方(fcc)和六方密堆积(hcp)泡沫之间的能量差的评估,适用于从干极限到湿极限的液体馏分。正如已经证明的那样,差异在两个限制中都消失了,并且对所有中间液体馏分有利于hcp。最大相对能量差非常小,约为10 -5。在两个方面,对液体分数的渐近依赖性都是非解析性的:在这两种情况下,我们都根据第一性原理给出显式表达式。它们是通过将节点相互作用(干极限)和接触相互作用(湿极限)识别为fcc和hcp之间的能量差异的各自来源而获得的。莫尔斯-威滕(Morse-Witten)理论很好地描述了湿极限,该理论对于分析轻微变形的气泡的表面能非常有力。
更新日期:2020-09-16
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