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Ciliberti, S. ; Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Verrocchio, P. | American Physical Society | 2005-04-11We study the spectra and localization properties of Euclidean random matrices defined on a random graph. We introduce a powerful method to find the density of states and the localization threshold in topologically disordered soff-latticed system[...]texto impreso
Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Verrocchio, P. | American Physical Society | 2004-07-19Using a nonlocal Monte Carlo algorithm, we study the aging of a fragile glass, being able to follow it up to equilibrium, down to 0.89T_(MC) (T_(MC) is the mode-coupling temperature), and up to long waiting times at lower temperatures. We show t[...]texto impreso
Ciliberti, S. ; Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Verrocchio, P. | American Institute of Physics | 2003-10-21A simple model of harmonic vibrations in topologically disordered systems, such as glasses and supercooled liquids, is studied analytically by extending Euclidean random matrix theory to include vector vibrations. Rather generally, it is found t[...]texto impreso
Fernández Pérez, Luis Antonio ; Martín Mayor, Víctor ; Verrocchio, P. | American Physical Society | 2006-02-14We show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant quantit[...]texto impreso
Fernández Pérez, Luis Antonio ; Martín Mayor, Víctor ; Seoane Bartolomé, Beatriz ; Verrocchio, P. | American Physical Society | 2012-04-16We present a tethered Monte Carlo simulation of the crystallization of hard spheres. Our method boosts the traditional umbrella sampling to the point of making practical the study of constrained Gibbs’ free energies depending on several crystall[...]texto impreso
Fernández Pérez, Luis Antonio ; Martín Mayor, Víctor ; Verrocchio, P. | American Institute of Physics | 2006We report clear finite size effects in the specific heat and in the relaxation times of a model glass former at temperatures considerably smaller than the Mode Coupling transition. A crucial ingredient to reach this result is a new Monte Carlo a[...]texto impreso
Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Urbani, P. ; Verrocchio, P. | IOP Publishing | 2011-02-07Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean random matrices (ERM) in the high-density regime are introduced and discussed in detail. Such techniques are developed in two alternative and very different f[...]texto impreso
Fernández Pérez, Luis Antonio ; Martín Mayor, Víctor ; Verrocchio, P. | Taylor & Francis Ltd | 2007-01A new Monte Carlo algorithm is introduced for the simulation of supercooled liquids and glass formers, and tested in two model glasses. The algorithm thermalizes well below the Mode Coupling temperature and outperforms other optimized Monte Carl[...]texto impreso
Fernández Pérez, Luis Antonio ; Martín Mayor, Víctor ; Verrocchio, P. | American Physical Society | 2007-02-23The phase diagram of soft spheres with size dispersion is studied by means of an optimized Monte Carlo algorithm which allows us to equilibrate below the kinetic glass transition for all size distributions. The system ubiquitously undergoes a fi[...]texto impreso
Fernández Pérez, Luis Antonio ; Martín Mayor, Víctor ; Seoane, B. ; Verrocchio, P. | American Physical Society | 2010-08-05We study a polydisperse soft-spheres model for colloids by means of microcanonical Monte Carlo simulations. We consider a polydispersity as high as 24%. Although solidification occurs, neither a crystal nor an amorphous state are thermodynamical[...]texto impreso
Ciliberti, S. ; Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Verrocchio, P. | American Institute of Physics | 2004-06Despite the presence of topological disorder, phonons seem to exist also in glasses at very high frequencies (THz) and they remarkably persist into the supercooled liquid. A universal feature of such a systems is the Boson peak, an excess of sta[...]texto impreso
The findings of X-ray and neutron scattering experiments on amorphous systems are interpreted within the framework of the theory of Euclidean random matrices. This allows to take into account the topological nature of the disorder, a key ingredi[...]texto impreso
Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Verrocchio, P. | American Physical Society | 2001-08-20The topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the partic[...]texto impreso
Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Verrocchio, P. | IOP publishing ltd | 2002-03-11We study numerically and analytically a simple off-lattice model of scalar harmonic vibrations by means of Euclidean random matrix theory. Since the spectrum of this model shares the most puzzling spectral features with the high-frequency domain[...]
