486 citations · 5.1k across the 96 of their papers we have counts for
36 papers · 1 filter
Percolation and criticality of systems with competing interactions on Bethe lattices: limitations and potential strengths of cluster schemes
Greivin Alfaro Miranda, Mingyuan Zheng, Patrick Charbonneau +3
The random clusters introduced by Fortuin and Kasteleyn (FK) and analyzed by Coniglio and Klein (CK) for Ising and related models have led first Swendsen and Wang and then Wolff to…
Jamming, relaxation, and memory in a structureless glass former
Patrick Charbonneau, Peter K. Morse
Real structural glasses form through various out-of-equilibrium processes, including temperature quenches, rapid compression, shear, and aging. Each of these processes should be fo…
Avoiding critical slowdown in models with SALR interactions
Mingyuan Zheng, Marco Tarzia, Patrick Charbonneau
In systems with frustration, the critical slowdown of the dynamics severely impedes the numerical study of phase transitions for even the simplest of lattice models. In order to he…
Comment on "Explicit Analytical Solution for Random Close Packing in and "
Patrick Charbonneau, Peter K. Morse
A recent letter titled "Explicit Analytical Solution for Random Close Packing in d=2 and d=3" published in Physical Review Letters proposes a first-principle computation of the ran…
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…
Three simple scenarios for high-dimensional sphere packings
Patrick Charbonneau, Peter K. Morse, Will Perkins +1
Based on results from the physics and mathematics literature which suggest a series of clearly defined conjectures, we formulate three simple scenarios for the fate of hard sphere…
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…
Thermodynamic stability of hard sphere crystals in dimensions 3 through 10
Patrick Charbonneau, Caitlin M. Gish, Robert S. Hoy +1
Although much is known about the metastable liquid branch of hard spheres--from low dimension up to --its crystal counterpart remains largely unexplored for …
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…
Resolving the two-dimensional ANNNI model using transfer matrices
Yi Hu, Patrick Charbonneau
The phase diagram of the two-dimensional ANNNI model has long been theoretically debated. Extremely long structural correlations and relaxation times further result in numerical si…
Memory formation in jammed hard spheres
Patrick Charbonneau, Peter Morse
Liquids equilibrated below an onset density share similar inherent states, while above that density their inherent states markedly differ. Although this phenomenon was first report…
Interplay between percolation and glassiness in the random Lorentz gas
Giulio Biroli, Patrick Charbonneau, Eric I. Corwin +4
The random Lorentz gas (RLG) is a minimal model of transport in heterogeneous media. It also models the dynamics of a tracer in a glassy system. These two perspectives, however, ar…
Finite-dimensional vestige of spinodal criticality above the dynamical glass transition
Ludovic Berthier, Patrick Charbonneau, Joyjit Kundu
Finite-dimensional signatures of spinodal criticality are notoriously difficult to come by. The dynamical transition of glass-forming liquids, first described by mode-coupling theo…
Postponing the dynamical transition density using competing interactions
Patrick Charbonneau, Joyjit Kundu
Systems of dense spheres interacting through very short-ranged attraction are known from theory, simulations and colloidal experiments to exhibit dynamical reentrance. The liquid s…
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…
Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions
Ludovic Berthier, Patrick Charbonneau, Joyjit Kundu
The recent implementation of a swap Monte Carlo algorithm (SWAP) for polydisperse mixtures fully bypasses computational sluggishness and closes the gap between experimental and sim…
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…
Zero-temperature glass transition in two dimensions
Ludovic Berthier, Patrick Charbonneau, Andrea Ninarello +2
The nature of the glass transition is theoretically understood in the mean-field limit of infinite spatial dimensions, but the problem remains totally open in physical dimensions.…
A Microscopic Model of the Stokes-Einstein Relation in Arbitrary Dimension
Benoit Charbonneau, Patrick Charbonneau, Grzegorz Szamel
The Stokes-Einstein relation (SER) is one of the most robust and widely employed results from the theory of liquids. Yet sizable deviations can be observed for self-solvation, whic…
Cycle-expansion method for the Lyapunov exponent, susceptibility, and higher moments
Patrick Charbonneau, Yue Li, Henry D. Pfister +1
Lyapunov exponents characterize the chaotic nature of dynamical systems by quantifying the growth rate of uncertainty associated with the imperfect measurement of initial condition…
Lecture Notes on the Statistical Mechanics of Disordered Systems
Patrick Charbonneau
This material complements David Chandler's Introduction to Modern Statistical Mechanics (Oxford University Press, 1987) in a graduate-level, one-semester course I teach in the Depa…
Configurational entropy measurements in extremely supercooled liquids that break the glass ceiling
Ludovic Berthier, Patrick Charbonneau, Daniele Coslovich +3
Liquids relax extremely slowly upon approaching the glass state. One explanation is that an entropy crisis, due to the rarefaction of available states, makes it increasingly arduou…
Nontrivial critical fixed point for replica-symmetry-breaking transitions
Patrick Charbonneau, Sho Yaida
The transformation of the free-energy landscape from smooth to hierarchical is one of the richest features of mean-field disordered systems. A well-studied example is the de Almeid…
Point-to-set lengths, local structure, and glassiness
Sho Yaida, Ludovic Berthier, Patrick Charbonneau +1
The growing sluggishness of glass-forming liquids is thought to be accompanied by growing structural order. The nature of such order, however, remains hotly debated. A decade ago,…