Stable distributions in stochastic fragmentation

@inproceedings{Krapivsky2004StableDI,
  title={Stable distributions in stochastic fragmentation},
  author={P. L. Krapivsky and E. Ben-Naim and Ivo Grosse},
  year={2004}
}
We investigate a class of stochastic fragmentation processes involving stable and unstable fragments. We solve analytically for the fragment length density and find that a generic algebraic divergence characterizes its small-size tail. Furthermore, the entire range of acceptable values of decay exponent consistent with length conservation can be realized. We show that the stochastic fragmentation process is non-self-averaging as moments exhibit significant sample-to-sample fluctuations… CONTINUE READING