For a cluster-cluster aggregation model on Z^d, the paper proves no infinite cluster forms in finite time for α≥0, finite-time blowup for α≤−1−2/d, and derives the exact phase diagram in the fully packed one-dimensional case.
Procaccia, and Daniel Sharon
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Cluster-Cluster model in $\mathbb{Z}^d$
For a cluster-cluster aggregation model on Z^d, the paper proves no infinite cluster forms in finite time for α≥0, finite-time blowup for α≤−1−2/d, and derives the exact phase diagram in the fully packed one-dimensional case.