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Fractal scaling of soot packing density across five size decades

ABSTRACT We experimentally map the scaling laws for packing density (θf, solid component volume fraction) of soot aggregates across five orders of magnitude of size (Rg/a, normalized radius of gyration by monomer radius). The θf − Rg/a scaling relationship evolves through three successive regimes with distinct power-law exponents of −1.20 ± 0.01, −0.58 ± 0.06, and −1.31 ± 0.14. The first cross-over agrees with the classical aerosol-to-gel transition theory. This agreement, however, breaks down at the second cross-over point, where a late-stage cluster-cluster aggregation of aerosol gels takes over. © 2017 American Association for Aerosol Research