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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 2 1 ½ ; 2Þ corresponding to aggregation of sol clusters proceeding to the ideal gel point (IGP); z 2 ½2; 5:7Þ for gelation of sol clusters beyond IGP; and z 2 ½2; 3:5Þ 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.more » « less
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