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Percolation of Diffusionally Evolved Two-Phase Systems

机译:扩散演化的两相系统的渗流

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Although the phase fractions in dual phase systems are often compared with the percolation threshold for a randomly-assembled composite, most two-phase systems are non-random by virtue of correlations introduced during processing or as a consequence of microstructural evolution. This study examines the two dimensional percolation threshold in systems with soft impingement, i.e., when the phase distribution is affected by diffusional interactions between growing second phase particles. Phase field modeling is used to simulate the nucleation and growth process, with many simulations conducted at various system sizes and equilibrium phase fractions to obtain percolation probabilities. The value of the percolation threshold in the thermodynamic limit is estimated based on the finite size scaling behavior of the system. The value of the critical exponent v (the size scaling exponent) is also estimated.
机译:尽管通常将双相系统中的相分数与随机组装的复合材料的渗透阈值进行比较,但由于在加工过程中引入的相关性或由于微结构演变而导致的大多数两相系统都是非随机的。这项研究检查了具有软碰撞的系统中的二维渗透阈值,即当相分布受到生长的第二相颗粒之间扩散相互作用的影响时。相场建模用于模拟成核和生长过程,并在各种系统尺寸和平衡相分数下进行了许多模拟,以获得渗滤概率。根据系统的有限尺寸缩放行为,估算热力学极限中的渗滤阈值。还估计临界指数v的值(大小缩放指数)。

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