Strongly and weakly self-similar diffusion

@inproceedings{Ferrari2001StronglyAW,
  title={Strongly and weakly self-similar diffusion},
  author={R. J. Ferrari and A. J. Manfroi and William R. Young},
  year={2001}
}
Many dispersive processes have moments of displacements with large-t behavior 〈|x|p〉 ∼ tp . The study of γp as a function of p provides a more complete characterization of the process than does the single number γ2. Also at long times, the core of the concentration relaxes to a self-similar profile, while the large-x tails, consisting of particles which have experienced exceptional displacements, are not self-similar. Depending on the particular process, the effect of the tails can be… CONTINUE READING

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