486 citations · 2.8k across the 59 of their papers we have counts for
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Following the evolution of glassy states under external perturbations: compression and shear-strain
Corrado Rainone, Pierfrancesco Urbani, Hajime Yoshino +1
We consider the adiabatic evolution of glassy states under external perturbations. Although the formalism we use is very general, we focus here on infinite-dimensional hard spheres…
The Gardner transition in finite dimensions
Pierfrancesco Urbani, Giulio Biroli
Recent works on hard spheres in the limit of infinite dimensions revealed that glass states, envisioned as meta-basins in configuration space, can break up in a multitude of separa…
Statistical mechanics of the spherical hierarchical model with random fields
Fernando L. Metz, Jacopo Rocchi, Pierfrancesco Urbani
We study analytically the equilibrium properties of the spherical hierarchical model in the presence of random fields. The expression for the critical line separating a paramagneti…
Fractal free energy landscapes in structural glasses
Patrick Charbonneau, Jorge Kurchan, Giorgio Parisi +2
Glasses are amorphous solids whose constituent particles are caged by their neighbors and thus cannot flow. This sluggishness is often ascribed to the free energy landscape contain…