Universality of the SAT-UNSAT (jamming) threshold in non-convex continuous constraint satisfaction problems
Random constraint satisfaction problems (CSP) have been studied extensively using
statistical physics techniques. They provide a benchmark to study average case scenarios …
statistical physics techniques. They provide a benchmark to study average case scenarios …
Does a growing static length scale control the glass transition?
Several theories of the glass transition propose that the structural relaxation time τ α is
controlled by a growing static length scale ξ that is determined by the free energy landscape …
controlled by a growing static length scale ξ that is determined by the free energy landscape …
Out-of-equilibrium dynamical mean-field equations for the perceptron model
Perceptrons are the building blocks of many theoretical approaches to a wide range of
complex systems, ranging from neural networks and deep learning machines, to constraint …
complex systems, ranging from neural networks and deep learning machines, to constraint …
Theory for swap acceleration near the glass and jamming transitions for continuously polydisperse particles
swap algorithms can shift the glass transition to lower temperatures, a recent unexplained
observation constraining the nature of this phenomenon. Here we show that swap dynamics …
observation constraining the nature of this phenomenon. Here we show that swap dynamics …
Memory formation in jammed hard spheres
Liquids equilibrated below an onset condition share similar inherent states, while those
above that onset have inherent states that markedly differ. Although this type of materials …
above that onset have inherent states that markedly differ. Although this type of materials …
High-temperature expansions and message passing algorithms
Improved mean-field techniques are a central theme of statistical physics methods applied to
inference and learning. We revisit here some of these methods using high-temperature …
inference and learning. We revisit here some of these methods using high-temperature …
Vibrational properties of hard and soft spheres are unified at jamming
The unconventional thermal properties of jammed amorphous solids are directly related to
their density of vibrational states. While the vibrational spectrum of jammed soft sphere …
their density of vibrational states. While the vibrational spectrum of jammed soft sphere …
Jamming, relaxation, and memory in a minimally structured glass former
Structural glasses form through various out-of-equilibrium processes, including temperature
quenches, rapid compression (crunches), and shear. Although each of these processes …
quenches, rapid compression (crunches), and shear. Although each of these processes …
Local vs. cooperative: Unraveling glass transition mechanisms with SEER
Which phenomenon slows down the dynamics in supercooled liquids and turns them into
glasses is a long-standing question of condensed matter. Most popular theories posit that as …
glasses is a long-standing question of condensed matter. Most popular theories posit that as …
An introduction to the theory of spin glasses
We review the main methods used to study spin glasses. In the first part, we focus on
methods for fully connected models and systems defined on a tree, such as the replica …
methods for fully connected models and systems defined on a tree, such as the replica …