書誌事項
- 公開日
- 1986-02-10
- 権利情報
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- http://onlinelibrary.wiley.com/termsAndConditions#vor
- DOI
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- 10.1029/jb091ib02p01921
- 公開者
- American Geophysical Union (AGU)
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説明
<jats:p>If the number‐size distribution of objects satisfies the condition <jats:italic>N</jats:italic> ∼ <jats:italic>r</jats:italic><jats:sup>−D</jats:sup>, then a fractal is defined with a fractal dimension <jats:italic>D</jats:italic>. In many cases, fragmentation results in a fractal distribution. This is taken as evidence that the fragmentation mechanism is scale invariant. Fragments produced by weathering, explosions, and impacts often satisfy a fractal distribution condition over a wide range of scales. Most correlations for number versus size for meteorites, asteroids, and interstellar grains also satisfy the fractal condition. Fractal behavior implies scale invariance; the renormalization group approach is often applicable to scale invariant processes. Two models are considered for a renormalization group approach to fragmentation; the models yield a fractal behavior but give different values for the fractal dimension. These results indicate that the fractal dimension is a measure of the fragility of the fragmented material.</jats:p>
収録刊行物
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- Journal of Geophysical Research: Solid Earth
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Journal of Geophysical Research: Solid Earth 91 (B2), 1921-1926, 1986-02-10
American Geophysical Union (AGU)