Diffusion percolation. I. Infinite time limit and bootstrap percolation

J. Adler, A. Aharony

Research output: Contribution to journalArticlepeer-review

62 Scopus citations

Abstract

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.

Original languageEnglish
Article number015
Pages (from-to)1387-1404
Number of pages18
JournalJournal of Physics A: General Physics
Volume21
Issue number6
DOIs
StatePublished - 1 Dec 1988
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • General Physics and Astronomy
  • Mathematical Physics

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