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6 papers · 1 filter
Non-equilibrium relaxation of an elastic string in a random potential
Alejandro Kolton, Alberto Rosso, Thierry Giamarchi
We study the non--equilibrium motion of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is c…
Coulombian Disorder in Periodic Systems
E. Orignac, A. Rosso, R. Chitra +1
We study the effect of unscreened charged impurities on periodic systems. We show that the long wavelength component of the disorder becomes long ranged and dominates static correl…
Clustering of solutions in the random satisfiability problem
M. Mezard, T. Mora, R. Zecchina
Using elementary rigorous methods we prove the existence of a clustered phase in the random -SAT problem, for . In this phase the solutions are grouped into clusters wh…
Functionals of the Brownian motion, localization and metric graphs
Alain Comtet, Jean Desbois, Christophe Texier
We review several results related to the problem of a quantum particle in a random environment. In an introductory part, we recall how several functionals of the Brownian motion ar…
Quantum Magnets with Anisotropic Infinite Range Random Interactions
Liliana Arrachea, Marcelo J. Rozenberg
Using exact diagonalization techniques we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange…
Near optimal configurations in mean field disordered systems
A. Pagnani, G. Parisi, M. Ratieville
We present a general technique to compute how the energy of a configuration varies as a function of its overlap with the ground state in the case of optimization problems. Our appr…