Percolation on complex networks: Theory and application

M Li, RR Liu, L Lü, MB Hu, S Xu, YC Zhang - Physics Reports, 2021 - Elsevier
In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …

Deconstructing the glass transition through critical experiments on colloids

S Gokhale, AK Sood, R Ganapathy - Advances in Physics, 2016 - Taylor & Francis
The glass transition is the most enduring grand-challenge problem in contemporary
condensed matter physics. Here, we review the contribution of colloid experiments to our …

Mean field theory of the swap Monte Carlo algorithm

H Ikeda, F Zamponi, A Ikeda - The Journal of chemical physics, 2017 - pubs.aip.org
The swap Monte Carlo algorithm combines the translational motion with the exchange of
particle species and is unprecedentedly efficient for some models of glass former. In order to …

Tricritical Point in Heterogeneous -Core Percolation

D Cellai, A Lawlor, KA Dawson, JP Gleeson - Physical Review Letters, 2011 - APS
k-core percolation is an extension of the concept of classical percolation and is particularly
relevant to understanding the resilience of complex networks under random damage. A new …

Multistate dynamical processes on networks: analysis through degree-based approximation frameworks

PG Fennell, JP Gleeson - Siam Review, 2019 - SIAM
Multistate dynamical processes on networks, where nodes can occupy one of a multitude of
discrete states, are gaining widespread use because of their ability to recreate realistic …

Critical phenomena in heterogeneous -core percolation

D Cellai, A Lawlor, KA Dawson, JP Gleeson - Physical Review E—Statistical …, 2013 - APS
k-core percolation is a percolation model which gives a notion of network functionality and
has many applications in network science. In analyzing the resilience of a network under …

Logarithmic critical slowing down in complex systems: From statics to dynamics

L Leuzzi, T Rizzo - Physical Review B, 2024 - APS
We consider second-order phase transitions in which the order parameter is a replicated
overlap matrix. We focus on a tricritical point that occurs in a variety of mean-field models …

Theory of kinetically-constrained-models dynamics

G Perrupato, T Rizzo - SciPost Physics, 2025 - scipost.org
The mean-field theory of Kinetically-Constrained-Models is developed by considering the
Fredrickson-Andersen model on the Bethe lattice. Using certain properties of the dynamics …

Scaling and universality in glass transition

A de Candia, A Fierro, A Coniglio - Scientific reports, 2016 - nature.com
Kinetic facilitated models and the Mode Coupling Theory (MCT) model B are within those
systems known to exhibit a discontinuous dynamical transition with a two step relaxation. We …

Glassy critical points and the random field Ising model

S Franz, G Parisi… - Journal of Statistical …, 2013 - iopscience.iop.org
We consider the critical properties of points of the continuous glass transition that one can
find in liquids in the presence of constraints or in liquids in porous media. Through a one …