Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-06-28
Phys. Lett. A 293, 48 (2000)
Physics
Condensed Matter
Statistical Mechanics
4 pages
Scientific paper
10.1016/S0375-9601(00)00570-3
We investigate fragmentation processes with a steady input of fragments. We find that the size distribution approaches a stationary form which exhibits a power law divergence in the small size limit, P(x) ~ x^{-3}. This algebraic behavior is robust as it is independent of the details of the input as well as the spatial dimension. The full time dependent behavior is obtained analytically for arbitrary inputs, and is found to exhibit a universal scaling behavior.
Ben-Naim Eli
Krapivsky Paul. L.
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