Chapter 8: Implications for Everyday Systems

Section 3: The Breaking of Materials

Crushing [of solids]

For a rather wide range of cases it appears that in crushed solids such as rocks the probability of a particular fragment having a diameter larger than r is given approximately by r-2.5. It seems likely that the origin of this is that each rock has a certain probability to break into, say, two smaller rocks at each stage in the crushing process, much as in a substitution system.

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From Stephen Wolfram: A New Kind of Science [citation]