Agglomerative percolation in two dimensions
- Authors
- Christensen, C.; Bizhani, G.; Son, S. -W.; Paczuski, M.; Grassberger, P.
- Issue Date
- Jan-2012
- Publisher
- IOP PUBLISHING LTD
- Citation
- EPL, v.97, no.1, pp.1 - 6
- Indexed
- SCIE
SCOPUS
- Journal Title
- EPL
- Volume
- 97
- Number
- 1
- Start Page
- 1
- End Page
- 6
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/33928
- DOI
- 10.1209/0295-5075/97/16004
- ISSN
- 0295-5075
- Abstract
- 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. Copyright (C) EPLA, 2012
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