Binomial multiplicative model of critical fragmentation

Details Binomial multiplicative model of critical fragmentation Binomial multiplicative model of critical fragmentation

2003-10-21

arxiv.org/abs/cond-mat/0310479v2

Thinking in Patterns, (World Scientific) pp.233 (2004)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures, A typo in Eq.(6b) was improved in Ver.2

Scientific paper

We report the binomial multiplicative model for low impact energy fragmentation. Impact fragmentation experiments were performed for low impact energy region, and it was found that the weighted mean mass is scaled by the pseudo control parameter multiplicity. We revealed that the power of this scaling is a non-integer (fractal) value and has a multi-scaling property. This multi-scaling can be interpreted by a binomial multiplicative (simple biased cascade) model. Although the model cannot explain the power-law of fragment-mass cumulative distribution in fully fragmented states, it can produce the multi-scaling exponents that agree with experimental results well.

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