92 citations · 222 across the 5 of their papers we have counts for
5 papers
Perspective: Gardner Physics in Amorphous Solids and Beyond
Ludovic Berthier, Giulio Biroli, Patrick Charbonneau +3
One of the most remarkable predictions to emerge out of the exact infinite-dimensional solution of the glass problem is the Gardner transition. Although this transition was first t…
Universality Classes of Critical Points in Constrained Glasses
Silvio Franz, Giorgio Parisi
We analyze critical points that can be induced in glassy systems by the presence of constraints. These critical points are predicted by the Mean Field Thermodynamic approach and th…
Glassy Critical Points and Random Field Ising Model
Silvio Franz, Giorgio Parisi, Federico Ricci-Tersenghi
We consider the critical properties of points of continuous glass transition as one can find in liquids in presence of constraints or in liquids in porous media. Through a one loop…
Replica bounds for diluted non-Poissonian spin systems
Silvio Franz, Michele Leone, Fabio Lucio Toninelli
In this paper we extend replica bounds and free energy subadditivity arguments to diluted spin-glass models on graphs with arbitrary, non-Poissonian degree distribution. The new di…
Theory of Non-linear Susceptibility and Correlation Length in Glasses and Liquids
Claudio Donati, Silvio Franz, Giorgio Parisi +1
Within the framework of the effective potential theory of the structural glass transition, we calculate for the p-spin model a static nonlinear susceptibility related to a four-poi…