Sensitivity analysis of aggregate morphology on mass-mobility relationship and improved parameterizations

摘要: AbstractPast studies have shown that the diffusion-limited cluster aggregation mechanism yields aggregates with a mass fractal dimension (Df) of around 1.8 and power-law prefactor (kf) ranging between 1.2 2.5. For fixed Df, an increasing kf physically manifests as decreasing shape anisotropy or degree “stringiness” aggregate. In this work, we investigate effects changing kf, monomer size (d), number monomers (N) computer-simulated on their mass-mobility scaling exponent (Dfm) (kfm). Our simulation results for statistically significant Df = 1.78 ± 0.10 yielded Dfm values 2.20 0.05. These are in excellent agreement previous experimental observations. While variations were predominantly influenced by kfm showed sensitivity to fluctuations kf. The validity accuracy empirical 1.08 used estimating N three dimensions from two dimensional projection images was als...