32 citations · 158 across the 12 of their papers we have counts for
12 papers
Simple fluctuations in simple glass formers
Corentin C. L. Laudicina, Patrick Charbonneau, Yi Hu +4
Critical single-particle fluctuations associated with particle displacements are inherent to simple glass-forming liquids in the limit of large dimensions and leave a pseudo-critic…
Dynamics and fluctuations of minimally-structured glass formers
Patrick Charbonneau, Yi Hu, Peter K. Morse
The mean-field theory (MFT) of simple glasses, which is exact in the limit of infinite spatial dimensions, , offers theoretical insight as well as quantitative…
Equilibrium Fluctuations in Mean-field Disordered Models
Giampaolo Folena, Giulio Biroli, Patrick Charbonneau +2
Mean-field models of glasses that present a random first order transition exhibit highly non-trivial fluctuations. Building on previous studies that focused on the critical scaling…
The dimensional evolution of structure and dynamics in hard sphere liquids
Patrick Charbonneau, Yi Hu, Joyjit Kundu +1
The formulation of the mean-field, infinite-dimensional solution of hard sphere glasses is a significant milestone for theoretical physics. How relevant this description might be f…
Local dynamical heterogeneity in glass formers
Giulio Biroli, Patrick Charbonneau, Giampaolo Folena +2
We study the local dynamical fluctuations in glass-forming models of particles embedded in -dimensional space, in the mean-field limit of . Our analytical calculatio…
Numerical transfer matrix study of frustrated next-nearest-neighbor Ising models on square lattices
Yi Hu, Patrick Charbonneau
Ising models with frustrated next-nearest-neighbor interactions present a rich morphology of modulated phases. These phases, however, assemble and relax slowly, which hinders their…
High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas
Benoit Charbonneau, Patrick Charbonneau, Yi Hu +1
The random Lorentz gas (RLG) is a minimal model for transport in disordered media. Despite the broad relevance of the model, theoretical grasp over its properties remains weak. For…
Mean-field caging in a random Lorentz gas
Giulio Biroli, Patrick Charbonneau, Yi Hu +3
The random Lorentz gas (RLG) is a minimal model of both percolation and glassiness, which leads to a paradox in the infinite-dimensional, limit: the localizati…
Percolation thresholds on high dimensional and dense packing lattices
Yi Hu, Patrick Charbonneau
The site and bond percolation problems are conventionally studied on (hyper)cubic lattices, which afford straightforward numerical treatments. The recent implementation of efficien…
Dynamics around the Site Percolation Threshold on High-Dimensional Hypercubic Lattices
Giulio Biroli, Patrick Charbonneau, Yi Hu
Recent advances on the glass problem motivate reexamining classical models of percolation. Here, we consider the displacement of an ant in a labyrinth near the percolation threshol…
Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class
Patrick Charbonneau, Yi Hu, Archishman Raju +2
A replica-symmetry-breaking phase transition is predicted in a host of disordered media. The criticality of the transition has, however, long been questioned below its upper critic…
Correlation lengths in quasi-one-dimensional systems via transfer matrices
Yi Hu, Lin Fu, Patrick Charbonneau
Using transfer matrices up to next-nearest-neighbour (NNN) interactions, we examine the structural correlations of quasi-one-dimensional systems of hard disks confined by two paral…