| Issue |
EPL
Volume 97, Number 1, February 2012
|
|
|---|---|---|
| Article Number | 16004 | |
| Number of page(s) | 5 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/97/16004 | |
| Published online | 04 January 2012 | |
Agglomerative percolation in two dimensions
1
Complexity Science Group, University of Calgary - Calgary T2N 1N4, Canada
2
FZ Jülich - D-52425 Jülich, Germany, EU
Received:
30
September
2011
Accepted:
18
November
2011
We study a process termed agglomerative percolation (AP) in two dimensions. Instead of adding sites or bonds at random, in AP randomly chosen clusters are linked to all their neighbors. As a result the growth process involves a diverging length scale near a critical point. Picking target clusters with probability proportional to their mass leads to a runaway compact cluster. Choosing all clusters equally leads to a continuous transition in a new universality class for the square lattice, while the transition on the triangular lattice has the same critical exponents as ordinary percolation —violating blatantly the basic notion of universality.
PACS: 64.60.ah – Percolation / 68.43.Jk – Diffusion of adsorbates, kinetics of coarsening and aggregation / 89.75.Da – Systems obeying scaling laws
© EPLA, 2012
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