Volume 97, Number 1, February 2012
|Number of page(s)||5|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||04 January 2012|
Agglomerative percolation in two dimensions
Complexity Science Group, University of Calgary - Calgary T2N 1N4, Canada
2 FZ Jülich - D-52425 Jülich, Germany, EU
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.