6533b828fe1ef96bd12882f9

RESEARCH PRODUCT

Two-Length-Scale Structure in Some Computer-Generated Aggregates Grown by Diffusion-Limited Aggregation

Giuseppe PipitoneGiuseppe PipitonePaul W. SchmidtRoberto TrioloE. CaponetriM. A. Floriano

subject

Length scaleMaterials scienceFractalScatteringDiffusion-limited aggregationAggregate (data warehouse)ExponentNeutron scatteringMicrobiologyMolecular physicsFractal dimension

description

AbstractThe properties of some aggregates “grown” on a computer by diffusion-limited aggregation have been investigated. Calculations showed that the intensity of the small-angle x-ray and neutron scattering from the aggregates was proportional to q−D for qL ≫ 1, where D > 0, L is a length that characterizes the large-scale structure of the aggregate, q = 4πλ−1 sin(θ/2), γ is the wavelength, and θ is the scattering angle. The magnitude of the exponent D was appreciably smaller than the fractal dimensions that many simulations have shown to be typical of the mass fractal aggregates grown by diffusion-limited aggregation. The calculations suggest that the aggregates have structure on two different characteristic-length scales.

https://doi.org/10.1557/proc-367-429