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New evidence for super-roughening in crystalline surfaces with disordered substrate
Barbara Coluzzi, Enzo Marinari, Juan J. Ruiz-Lorenzo
We study the behavior of the Binder cumulant related to long distance correlation functions of the discrete Gaussian model of disordered substrate crystalline surfaces. We exhibit…
A Numerical Study of Ultrametricity in Finite Dimensional Spin Glasses
Angelo Cacciuto, Enzo Marinari, Giorgio Parisi
We use a constrained Monte Carlo technique to analyze ultrametric features of a 4 dimensional Edwards-Anderson spin glass with quenched couplings J=\pm 1. We find that in the large…
Numerical Evidence for Spontaneously Broken Replica Symmetry in 3D Spin Glasses
E. Marinari, G. Parisi, F. Ritort +1
By numerical simulations of the Ising spin glass we find evidence that spontaneous replica symmetry breaking theory and not the droplet model describes with good accuracy the…
Series Expansion of the Off-Equilibrium Mode Coupling Equations
S. Franz, E. Marinari, G. Parisi
We show that computing the coefficients of the Taylor expansion of the solution of the off-equilibrium dynamical equations characterizing models with quenched disorder is a very ef…
How (Super) Rough is the Glassy Phase of a Crystalline Surface with a Disordered Substrate?
Enzo Marinari, Remi Monasson, Juan J. Ruiz-Lorenzo
We discuss the behavior of a crystalline surface with a disordered substrate. We focus on the possible existence of a {\em super-rough} glassy phase, with height-height correlation…
Replica Theory and Large D Josephson Junction Hypercubic Models
Enzo Marinari, Giorgio Parisi, Felix Ritort
We study the statistical mechanics of a -dimensional array of Josephson junctions in presence of a magnetic field on a lattice of side . In the high temperature region the th…