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arXiv · 1911.01674

Selective Bootstrap Percolation

Mauro Sellitto
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Abstract

A new class of bootstrap percolation models in which particle culling occurs only for certain numbers of nearest neighbours is introduced and studied on a Bethe lattice. Upon increasing the density of initial configuration they undergo multiple hybrid (or mixed-order) phase transitions, showing that such intriguing phase behaviours may also appear in fully homogeneous situations/environments, provided that culling is selective rather than cumulative. The idea immediately extends to facilitation dynamics, suggesting a simple way to construct one-component models of multiple glasses and glass-glass transitions as well as more general coarse-grained models of complex cooperative dynamics.

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Mauro Sellitto. 2019-11-05. Selective Bootstrap Percolation. https://doi.org/10.1088/1742-5468%2Fab47fa

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