TY - JOUR
T1 - Diffusion percolation. I. Infinite time limit and bootstrap percolation
AU - Adler, J.
AU - Aharony, A.
PY - 1988
Y1 - 1988
N2 - Several models for the dynamic growth of percolation clusters, or 'diffusion percolation' (DP), are introduced and analysed. In these models a random walker (an 'ant') walks on percolation clusters (which are occupied with initial site concentration, pi). The 'ant' is allowed to step off such clusters and add new sites to them if certain conditions are met. Some of these models are shown to have a one-to-one correspondence with models of bootstrap percolation (BP), in which sites which do not have a required number of neighbours are successively culled. Two new percolation thresholds have been calculated for two diffusion percolation models on the square lattice.
AB - Several models for the dynamic growth of percolation clusters, or 'diffusion percolation' (DP), are introduced and analysed. In these models a random walker (an 'ant') walks on percolation clusters (which are occupied with initial site concentration, pi). The 'ant' is allowed to step off such clusters and add new sites to them if certain conditions are met. Some of these models are shown to have a one-to-one correspondence with models of bootstrap percolation (BP), in which sites which do not have a required number of neighbours are successively culled. Two new percolation thresholds have been calculated for two diffusion percolation models on the square lattice.
UR - https://www.scopus.com/pages/publications/36149036566
U2 - 10.1088/0305-4470/21/6/015
DO - 10.1088/0305-4470/21/6/015
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AN - SCOPUS:36149036566
SN - 0305-4470
VL - 21
SP - 1387
EP - 1404
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 6
M1 - 015
ER -