Abstract (may include machine translation)
We consider a preferential growth model where particles are added one by one to the system consisting of clusters of particles. A new particle can either form a new cluster (with probability (Formula presented) or join an already existing cluster with a probability proportional to the size thereof. We calculate exactly the probability (Formula presented) that the size of the (Formula presented) cluster at time t is k. We analyze the asymptotics, the scaling properties of the size distribution and of the mean size, as well as the relation of our system to recent network models.
| Original language | English |
|---|---|
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 63 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2001 |
| Externally published | Yes |
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