Fractal fragmentation and small-angle scattering

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Anitas, E.M.^1,2

Joint Institute for Nuclear Research, Dubna, Moscow Region

141980, Russia^1

Horia Hulubei National Institute of Physics and Nuclear Engineering, Bucharest

RO-077125, Romania^2

关键词: Fractal fragmentation;    Fractal objects;    Fragmentation models;    Fragmentation process;    Power law decay;    Renormalization;    Small angle scattering;    Structural information;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012119/pdf
DOI  :  10.1088/1742-6596/633/1/012119

来源: IOP

【 摘 要 】

The small-angle scattering form factor of a three-dimensional idealized fragmentation model based on the concept of renormalization is calculated. The system consists of randomly oriented microscopic fractal objects whose positions are uncorrelated. It is shown that in the fractal region, the monodisperse form factor is characterized by a succession of maxima and minima superimposed on a simple power-law decay, and whose scattering exponent coincide with the fractal dimension ofthe scatterer. The results could be used to obtain additional structural information about systems obtained through fragmentation processes at microscale.