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Lower bound on the four-point dynamical susceptibility: Direct experimental test on a granular packing
F. Lechenault, O. Dauchot, G. Biroli +1
We track the motion of a horizontally vibrated amorphous assembly of bidisperse hard disks, for densities ranging across the jamming transition. We derive on very general grounds a…
Statistical mechanics of a single particle in a multiscale random potential: Parisi landscapes in finite dimensional Euclidean spaces
Yan V Fyodorov, Jean-Philippe Bouchaud
We construct a N-dimensional Gaussian landscape with multiscale, translation invariant, logarithmic correlations and investigate the statistical mechanics of a single particle in t…
The Student ensemble of correlation matrices: eigenvalue spectrum and Kullback-Leibler entropy
Giulio Biroli, Jean-Philippe Bouchaud, Marc Potters
We study a new ensemble of random correlation matrices related to multivariate Student (or more generally elliptic) random variables. We establish the exact density of states of em…
Quantum plasticity and dislocation-induced supersolidity
Jean-Philippe Bouchaud, Giulio Biroli
We suggest that below a certain temperature T_k, the free energy for the creation of kinks-antikinks pairs in the dislocation network of solid He4 becomes negative. The underlying…
On an explicit construction of Parisi landscapes in finite dimensional Euclidean spaces
Yan V. Fyodorov, Jean-Philippe Bouchaud
We construct a N-dimensional Gaussian landscape with multiscale, translation invariant, logarithmic correlations and investigate the statistical mechanics of a single particle in t…
Spatial correlations in the dynamics of glassforming liquids: Experimental determination of their temperature dependence
Cécile Dalle-Ferrier, Caroline Thibierge, Christiane Alba-Simionesco +6
We use recently introduced three-point dynamic susceptibilities to obtain an experimental determination of the temperature evolution of the number of molecules, N_corr, that are dy…
Critical scaling and heterogeneous superdiffusion across the jamming/rigidity transition of a granular glass
F. Lechenault, O. Dauchot, G. Biroli +1
The dynamical properties of a dense horizontally vibrated bidisperse granular monolayer are experimentally investigated. The quench protocol produces states with a frozen structure…
Anomalous relaxation in complex systems: from stretched to compressed exponentials
Jean-Philippe Bouchaud
We attempt to give a bird's eye view of the physical mechanisms leading to anomalous relaxation, and the relation of this phenomenon with anomalous diffusion and transport. Whereas…
Extreme value problems in Random Matrix Theory and other disordered systems
Giulio Biroli, Jean-Philippe Bouchaud, Marc Potters
We review some applications of central limit theorems and extreme values statistics in the context of disordered systems. We discuss several problems, in particular concerning Rand…