相分离淬火系统中尺度结构函数的通用性

P. Fratzl , J.L. Lebowitz
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引用次数: 42

摘要

我们提出了一种新的启发式“通用”公式,用于计算猝灭进入混相间隙后的尺度结构函数,该公式与各种实验观察结果非常吻合。用于拟合合金、二元流体、聚合物混合物和计算机模拟曲线数据的单一可调参数γ基本上只依赖于少数相的体积分数。将少数相的“表面积体积比”最小化,可以预测系统的粗略形态——随着少数相的增加,其局部特征从球形孤立的液滴转变为相互连接的板状物体。通过将γ与这一微观结构联系起来,我们得到的γ值精确到10%以内。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Universality of scaled structure functions in quenched systems undergoing phase separation

We present a novel heuristic “universal” formula for the scaled structure function following a quench into the miscibility gap which gives very good fits to a variety of experimental observations. The single adjustable parameter γ needed to fit data for alloys, binary fluids, polymer mixtures and computer simulation curves depends essentially only on the fraction of the volume of the minority phase. Minimizing the ratio of “surface area to volume” of the minority phase predicts a rough morphology of the system—its local character changes from spherical isolated droplets to interconnected plate-like objects as the minority fraction increases. By relating γ to this microstructure we obtain the value of γ correctly to within 10%.

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