Liu Pai, Heinson William R, Sorensen Christopher M, Chakrabarty Rajan K
Center for Aerosol Science and Engineering, Department of Energy, Environmental and Chemical Engineering, Washington University in St. Louis, St. Louis, MO 63130, USA.
Department of Physics, Kansas State University, Manhattan, KS 66506, USA.
J Colloid Interface Sci. 2019 Aug 15;550:57-63. doi: 10.1016/j.jcis.2019.04.067. Epub 2019 Apr 23.
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∈1,2 corresponding to aggregation of sol clusters proceeding to the ideal gel point (IGP); z∈2,5.7 for gelation of sol clusters beyond IGP; and z∈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.
由于平均场斯莫卢霍夫斯基方程失效，一个涵盖溶胶 - 凝胶转变动力学的综合理论尚未形成。通过对不可逆聚集系统进行高时间分辨率的蒙特卡罗模拟，我们表明这种转变具有三个不同的区域，动力学指数z∈1,2对应于溶胶簇聚集成理想凝胶点（IGP）的过程；z∈2,5.7对应于IGP之后溶胶簇的凝胶化；z∈2,3.5对应于一个迄今未识别的区域，该区域涉及单体密集时凝胶的聚集。我们进一步建立了连接这三个区域动力学的通用幂律标度关系。对定义每个区域的特征时间尺度参数进行了改进的参数化。
