%0 Journal Article %1 WOS:000177271100002 %A Cavalcante, FSA %A Moreira, AA %A Costa, UMS %A Andrade, JS %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 2002 %I ELSEVIER SCIENCE BV %J PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS %K growth; self-organization} {percolation; %N 3-4 %P 313-319 %R 10.1016/S0378-4371(02)00833-6 %T Self-organized percolation growth in regular and disordered lattices %V 311 %X The self-organized percolation process (SOP) is a growth model in which a critical percolation state is reached through self-organization. By controlling the number of sites or bonds in the growth front of the aggregate, the system is spontaneously driven to a stationary state that corresponds to approximately the percolation threshold of the lattice topology and percolation process. The SOP model is applied here to site and bond percolation in several regular lattices in two and three dimensions (triangular, honeycomb and simple cubic), as well as in a disordered network (Voronoi-Delaunai). Based on these results, we propose the use of this growth algorithm as a plausible model to describe the dynamics and the anomalous geometrical properties of some natural processes. (C) 2002 Published by Elsevier Science B.V.

@article{WOS:000177271100002, abstract = {The self-organized percolation process (SOP) is a growth model in which a critical percolation state is reached through self-organization. By controlling the number of sites or bonds in the growth front of the aggregate, the system is spontaneously driven to a stationary state that corresponds to approximately the percolation threshold of the lattice topology and percolation process. The SOP model is applied here to site and bond percolation in several regular lattices in two and three dimensions (triangular, honeycomb and simple cubic), as well as in a disordered network (Voronoi-Delaunai). Based on these results, we propose the use of this growth algorithm as a plausible model to describe the dynamics and the anomalous geometrical properties of some natural processes. (C) 2002 Published by Elsevier Science B.V.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, author = {Cavalcante, FSA and Moreira, AA and Costa, UMS and Andrade, JS}, biburl = {https://www.bibsonomy.org/bibtex/2d562394c58d91340c72b991d7552998e/ppgfis_ufc_br}, doi = {10.1016/S0378-4371(02)00833-6}, interhash = {a007b5c96c884895ab9706c80ba2376a}, intrahash = {d562394c58d91340c72b991d7552998e}, issn = {0378-4371}, journal = {PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS}, keywords = {growth; self-organization} {percolation;}, number = {3-4}, pages = {313-319}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Self-organized percolation growth in regular and disordered lattices}, tppubtype = {article}, volume = 311, year = 2002 }