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.
%0 Generic
%1 sellitto2019selective
%A Sellitto, Mauro
%D 2019
%K bootstrap critical-phenomena glasses percolation tree-graphs
%T Selective Bootstrap Percolation
%U http://arxiv.org/abs/1911.01674
%X 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.
@misc{sellitto2019selective,
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.},
added-at = {2020-01-13T12:22:06.000+0100},
author = {Sellitto, Mauro},
biburl = {https://www.bibsonomy.org/bibtex/2c958a43c7e3ddce75d6045c7355ae2d5/nonancourt},
description = {Selective Bootstrap Percolation},
interhash = {6fa6f63f03a7113193f973635dcf576a},
intrahash = {c958a43c7e3ddce75d6045c7355ae2d5},
keywords = {bootstrap critical-phenomena glasses percolation tree-graphs},
note = {cite arxiv:1911.01674},
timestamp = {2020-01-13T12:22:06.000+0100},
title = {Selective Bootstrap Percolation},
url = {http://arxiv.org/abs/1911.01674},
year = 2019
}