Kinetics of sol-to-gel transition in irreversible particulate systems
Kinetics of sol-to-gel transition in irreversible particulate systems
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DOI：
10.1016/j.jcis.2019.04.067
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发表时间：
2019-08-15
影响因子：
9.9
通讯作者：
Chakrabarty, Rajan K.
中科院分区：
文献类型：
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作者：
Liu, Pai;Heinson, William R.;Chakrabarty, Rajan K.
由于平均场Smoluchowski方程的分解，包含溶胶-凝胶转变动力学的综合理论尚未形成。用高时间分辨率的蒙特卡罗方法对不可逆凝聚体系进行了模拟，结果表明，这一转变有三个不同的区域，动力学指数z是[1.2]的元素，对应于溶胶团簇向理想凝胶点(IGP)的聚集；z是[2，5.7]的元素，表示超出理想凝胶点的溶胶团簇的凝胶化；z是[2，3.5]的元素，表示单体致密时凝胶聚集的未知区域。我们进一步建立了普适的幂定律标度关系，将这三个区域的动力学联系起来。对定义每个区域的特征时间尺度参数执行改进的参数化。(C)2019 Elsevier Inc.保留所有权利。
A comprehensive theory encompassing the kinetics of the sol-to-gel transition is yet to be formulated due to break-down of the mean-field Smoluchowski Equation. Using high temporal-resolution Monte Carlo simulation of irreversible aggregation systems, we show that this transition has three distinct regimes with kinetic exponent z is an element of [1.2) corresponding to aggregation of sol clusters proceeding to the ideal gel point (IGP); z is an element of [2,5.7) for gelation of sol clusters beyond IGP; and z is an element of [2,3.5) for a hitherto unidentified regime involving aggregation of gels when monomer-dense. We further establish universal power-law scaling relationships that connect the kinetics of these three regimes. Improved parameterizations are performed on the characteristic timescale parameters that define each regime. (C) 2019 Elsevier Inc. All rights reserved.