32 citations · 158 across the 12 of their papers we have counts for
6 papers · 1 filter
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…