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A computational study of long range surface-directed phase separation in polymer blends under a temperature gradient

机译:温度梯度下聚合物共混物中长距离表面定向相分离的计算研究

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The surface-directed phase separation phenomena of a model binary polymer blend quenched into the unstable region of its binary symmetric phase diagram was studied numerically using the nonlinear Cahn-Hilliard theory coupled with the Flory-Huggins-de-Gennes theory. Long range surface potential within a square geometry, where one side of the domain is exposed to a surface with preferential attraction to one component of a binary polymer blend under a temperature gradient in the x-direction, was incorporated in the model. No transition from complete wetting to partial wetting for all quench depths and/or long range surface potentials was observed. The structure factor analysis for the bulk presented an exponential growth rate at the early stage of phase separation, which slowed down at the intermediate stage with a slope of 0.33, which is in agreement with the Lifshitz-Slyozov power law. As the diffusion coefficient increased, the rate of phase separation increased accordingly in the bulk. This led to faster transition time from the early to intermediate stage within the bulk. In deeper quenches, a higher rate of phase separation was observed along with lower surface enrichment. Deeper quenches also led to the faster rupture of spinodal waves in the bulk. The process of surface enrichment, however, was continuous for all quench depths studied. The effect of different temperature gradient values on the surface enrichment rate was studied for the first time within a long range surface potential setting. No noticeable change in surface enrichment was observed for different temperature gradients. (C) 2015 Elsevier B.V. All rights reserved.
机译:使用非线性Cahn-Hilliard理论和Flory-Huggins-de-Gennes理论,对模型二元聚合物共混物淬火到其二元对称相图不稳定区域的表面定向相分离现象进行了数值研究。在模型中并入了正方形几何形状内的长距离表面电势,其中畴的一侧暴露于在二元聚合物共混物的一种组分下在x方向的温度梯度下优先吸引的表面。对于所有淬火深度和/或长距离表面电势,未观察到从完全润湿到部分润湿的转变。大块的结构因子分析在相分离的早期呈现出指数式增长,在中间阶段以0.33的斜率减慢,这与Lifshitz-Slyozov幂律相符。随着扩散系数的增加,相分离的速率在整体上相应增加。这导致从批量到早期的过渡时间更快。在更深的淬火中,观察到较高的相分离速率以及较低的表面富集度。更深的淬火也导致大块中旋节线波更快地破裂。然而,对于所有研究的淬火深度,表面富集过程都是连续的。在远距离表面电势设定下,首次研究了不同温度梯度值对表面富集率的影响。对于不同的温度梯度,没有观察到表面富集的明显变化。 (C)2015 Elsevier B.V.保留所有权利。

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