%0 Journal Article %1 Christensen2012Agglomerative %A Christensen, C. %A Bizhani, G. %A Son, S. %A Paczuski, M. %A Grassberger, P. %D 2012 %J EPL (Europhysics Letters) %K agglomerative-percolation, lattice\_model %N 1 %P 16004+ %R 10.1209/0295-5075/97/16004 %T Agglomerative percolation in two dimensions %U http://dx.doi.org/10.1209/0295-5075/97/16004 %V 97 %X We study a process termed ägglomerative 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.

@article{Christensen2012Agglomerative, 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.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Christensen, C. and Bizhani, G. and Son, S. and Paczuski, M. and Grassberger, P.}, biburl = {https://www.bibsonomy.org/bibtex/246170c540f33af28914fa1e476227d65/nonancourt}, citeulike-article-id = {8423643}, citeulike-linkout-0 = {http://dx.doi.org/10.1209/0295-5075/97/16004}, citeulike-linkout-1 = {http://arxiv.org/abs/1012.1070}, citeulike-linkout-2 = {http://arxiv.org/pdf/1012.1070}, day = 1, doi = {10.1209/0295-5075/97/16004}, eprint = {1012.1070}, interhash = {d8f5c17c3ce00b9c7d859911d02aecc4}, intrahash = {46170c540f33af28914fa1e476227d65}, issn = {1286-4854}, journal = {EPL (Europhysics Letters)}, keywords = {agglomerative-percolation, lattice\_model}, month = jan, number = 1, pages = {16004+}, posted-at = {2011-05-25 13:11:12}, priority = {2}, timestamp = {2019-06-10T14:53:09.000+0200}, title = {{Agglomerative percolation in two dimensions}}, url = {http://dx.doi.org/10.1209/0295-5075/97/16004}, volume = 97, year = 2012 }