Dynamics of bootstrap percolation

Details Dynamics of bootstrap percolation Dynamics of bootstrap percolation

2009-07-11

arxiv.org/abs/0907.1954v1

Pramana 71, pp 319-329 (August 2008)

Physics

Condensed Matter

Statistical Mechanics

Proceedings of the International Workshop and Conference on Statistical Physics Approaches to Multidisciplinary Problems, IIT

Scientific paper

Bootstrap percolation transition may be first order or second order, or it may have a mixed character where a first order drop in the order parameter is preceded by critical fluctuations. Recent studies have indicated that the mixed transition is characterized by power law avalanches, while the continuous transition is characterized by truncated avalanches in a related sequential bootstrap process. We explain this behavior on the basis of a through analytical and numerical study of the avalanche distributions on a Bethe lattice.

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