Fragmentation with a Steady Source
E. Ben-Naim and P.L. Krapivsky
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, $P_\infty(x)\sim x^{-3}$. 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.
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