caa a22 4500 477047513 CHVBK 20180405111334.0 cr unu---uuuuu 170330e19960201xx s 000 0 eng 10.1007/BF00876672 doi (NATIONALLICENCE)springer-10.1007/BF00876672 Hatamian S. Mathematicus Corporation, P.O. Box 1296, 11789-0972, Sound Beach, NY, USA aut Modeling fragmentation in two dimensions [Elektronische Daten] [S. Hatamian] Three cellular automaton "toy”-models of fragmentation in two-dimensional lattices are explored. Of the three models, two can be considered in the class of simple bond percolation, and one as correlated bond percolation. Fractal fragment-size distribution in all models is found away from criticality, providing a certain fraction of the bonds is designated with considerably larger strengths than the rest in the system. As the fraction of these bonds is raised from zero, the fragment-size distribution transforms smoothly from exponential forms into a power law. Though each model takes a different path to the fractal distribution, they all show the same fractal exponent of 1.85(5). As might be expected in one dimension, the same models of their variants, failed to produce fractal distributions. Birkhäuser Verlag, 1996 Fragmentation nationallicence fractal distributions nationallicence self-similarity nationallicence self-organized criticality nationallicence cellular automatons nationallicence computer models nationallicence pure and applied geophysics Birkhäuser-Verlag 146/1(1996-02-01), 115-129 0033-4553 146:1<115 1996 146 24 https://doi.org/10.1007/BF00876672 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00876672 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hatamian S. Mathematicus Corporation, P.O. Box 1296, 11789-0972, Sound Beach, NY, USA aut NATIONALLICENCE 773 0- pure and applied geophysics Birkhäuser-Verlag 146/1(1996-02-01), 115-129 0033-4553 146:1<115 1996 146 24 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer