Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation.

@article{Helln2002ClusterPI,
  title={Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation.},
  author={E. K. O. Hell{\'e}n and Petja Salmi and Mikko Alava},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={66 5 Pt 1},
  pages={051108}
}
The persistence probability, P(C)(t), of a cluster to remain unaggregated is studied in cluster-cluster aggregation, when the diffusion coefficient of a cluster depends on its size s as D(s) approximately s(gamma). In the mean field the problem maps to the survival of three annihilating random walkers with time-dependent noise correlations. For gamma> or =0 the motion of persistent clusters becomes asymptotically irrelevant and the mean-field theory provides a correct description. For gamma<0… CONTINUE READING

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