293 citations · 1.3k across the 49 of their papers we have counts for
18 papers · 1 filter
Finite size effects in the dynamics of glass-forming liquids
Ludovic Berthier, Giulio Biroli, Daniele Coslovich +2
We present a comprehensive theoretical study of finite size effects in the relaxation dynamics of glass-forming liquids. Our analysis is motivated by recent theoretical progress re…
Finite size scaling of the dynamical free-energy in a kinetically constrained model
Thierry Bodineau, Vivien Lecomte, Cristina Toninelli
We determine the finite size corrections to the large deviation function of the activity in a kinetically constrained model (the Fredrickson-Andersen model in one dimension), in th…
Activity phase transition for constrained dynamics
Thierry Bodineau, Cristina Toninelli
We consider two cases of kinetically constrained models, namely East and FA-1f models. The object of interest of our work is the activity A(t) defined as the total number of config…
Kinetically Constrained Models
Juan P. Garrahan, Peter Sollich, Cristina Toninelli
In this chapter we summarize recent developments in the study of kinetically constrained models (KCMs) as models for glass formers. After recalling the definition of the KCMs which…
Bootstrap percolation and kinetically constrained models on hyperbolic lattices
François Sausset, Cristina Toninelli, Giulio Biroli +1
We study bootstrap percolation (BP) on hyperbolic lattices obtained by regular tilings of the hyperbolic plane. Our work is motivated by the connection between the BP transition an…
Statistical Physics of Group Testing
Marc Mezard, Marco Tarzia, Cristina Toninelli
This paper provides a short introduction to the group testing problem, and reviews various aspects of its statistical physics formulation. Two main issues are discussed: the optima…
Spiral model, jamming percolation and glass-jamming transitions
Giulio Biroli, Cristina Toninelli
The Spiral Model (SM) corresponds to a new class of kinetically constrained models introduced in joint works with D.S. Fisher [8,9]. They provide the first example of finite dimens…
Spiral Model: a cellular automaton with a discontinuous glass transition
Cristina Toninelli, Giulio Biroli
We introduce a new class of two-dimensional cellular automata with a bootstrap percolation-like dynamics. Each site can be either empty or occupied by a single particle and the dyn…
On the universality of jamming percolation: reply to the comment of Jeng and Schwarz
Cristina Toninelli, Giulio Biroli, Daniel S. Fisher
In Phys. Rev. Lett. 96, 035702 (2006) we introduced a class of kinetically constrained models which display a dynamical glass transition. We focused on a particular example: the "k…
Jamming percolation and glassy dynamics
Cristina Toninelli, Giulio Biroli
We present a detailed physical analysis of the dynamical glass-jamming transition which occurs for the so called Knight models recently introduced and analyzed in a joint work with…
Relaxation times of kinetically constrained spin models with glassy dynamics
Nicoletta Cancrini, Fabio Martinelli, Cyril Roberto +1
We analyze the density and size dependence of the relaxation time for kinetically constrained spin systems. These have been proposed as models for strong or fragile glasses and…
A new class of cellular automata with a discontinuous transition
Cristina Toninelli, Giulio Biroli
This paper has been withdrawn by the authors due to a mistake in the proof and a corresponding incorrect result. A correct rigorous analysis of a similar model is presented in ``Sp…
Jamming Percolation and Glass Transitions in Lattice Models
Cristina Toninelli, Giulio Biroli, Daniel S. Fisher
A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical dens…
Cooperative Behavior of Kinetically Constrained Lattice Gas Models of Glassy Dynamics
C. Toninelli, G. Biroli, D. S. Fisher
Kinetically constrained lattice models of glasses introduced by Kob and Andersen (KA) are analyzed. It is proved that only two behaviors are possible on hypercubic lattices: either…
Facilitated spin models on Bethe lattice: bootstrap percolation, mode-coupling transition and glassy dynamics
Mauro Sellitto, Giulio Biroli, Cristina Toninelli
We show that facilitated spin models of cooperative dynamics introduced by Fredrickson and Andersen display on Bethe lattices a glassy behaviour similar to the one predicted by the…
Dynamical arrest, tracer diffusion and Kinetically Constrained Lattice Gases
Cristina Toninelli, Giulio Biroli
We analyze the tagged particle diffusion for kinetically constrained models for glassy systems. We present a method, focusing on the Kob-Andersen model as an example, which allows…
Classical versus quantum structures: the case of pyramidal molecules
Carlo Presilla, Giovanni Jona-Lasinio, Cristina Toninelli
In a previous paper we proposed a model to describe a gas of pyramidal molecules interacting via dipole-dipole interactions. The interaction modifies the tunneling properties betwe…
Exclusion processes with degenerate rates: convergence to equilibrium and tagged particle
L. Bertini, C. Toninelli
Stochastic lattice gases with degenerate rates, namely conservative particle systems where the exchange rates vanish for some configurations, have been introduced as simplified mod…