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Spatial correlation functions and dynamical exponents in very large samples of 4D spin glasses
Lucas Nicolao, Giorgio Parisi, Federico Ricci-Tersenghi
The study of the low temperature phase of spin glass models by means of Monte Carlo simulations is a challenging task, because of the very slow dynamics and the severe finite size…
Temperature chaos and quenched heterogeneities
Paolo Barucca, Giorgio Parisi, Tommaso Rizzo
We present a treatable generalization of the Sherrington Kirkpatrick model which introduces correlations in the elements of the coupling matrix through multiplicative disorder on t…
The overlap in glassy systems
Giorgio Parisi
In this paper I will consider many of the various definitions of the overlap and of its probability distribution that have been introduced in the literature starting from the origi…
Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution
Patrick Charbonneau, Jorge Kurchan, Giorgio Parisi +2
In the first part of this paper, we derive the general replica equations that describe infinite-dimensional hard spheres at any level of replica symmetry breaking (RSB) and in part…
Critical Exponents of the Random Field Hierarchical Model
Giorgio Parisi, Jacopo Rocchi
We have studied the one dimensional Dyson hierarchical model in presence of a random field. This is a long range model where the interactions scale with the distance with a power l…
Large Deviations of Correlation Functions in Random Magnets
Flaviano Morone, Giorgio Parisi, Federico Ricci-Tersenghi
We present a large deviations theory of the spin-spin correlation functions in the Random Field Ising Model on the Bethe lattice, both at finite and zero temperature. Rare events o…