George Y. Onoda, John Toner
Abstract
We examine a simple model for a powder having multiple generations of agglomerates. Over the size range over which the generations span, this structure is shown to be fractal. An equation expressing the fractal dimension for any Euclidean dimension is derived.
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We examine a simple model for a powder having multiple generations of agglomerates. Over the size range over which the generations span, this structure is shown to be fractal. An equation expressing the fractal dimension for any Euclidean dimension is derived.
Key concepts: Fractal dimension, Agglomerate, Fractal, Fractal dimension on networks, Euclidean geometry, Simple (philosophy), Dimension (graph theory), Range (aeronautics)