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We implement and optimize a particle-swap Monte-Carlo algorithm that allows us to thermalize a polydisperse system of hard spheres up to unprecedentedly-large volume fractions, where \revise{previous} algorithms and experiments fail to…

Statistical Mechanics · Physics 2016-06-14 Ludovic Berthier , Daniele Coslovich , Andrea Ninarello , Misaki Ozawa

We experimentally study the vicinity of the Jamming transition by investigating the statics and the dynamics of the contact network of an horizontally shaken bi-disperse packing of photo-elastic discs. Compressing the packing very slowly,…

Soft Condensed Matter · Physics 2015-06-04 C. Coulais , R. P. Behringer , O. Dauchot

A simple model to investigate the long time dynamics of glass-formers is presented and applied to study a Lennard-Jones system in supercooled and glassy phases. According to our model, the point representing the system in the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Angelani , Giorgio Parisi , Giancarlo Ruocco , Gabriele Viliani

We present a detailed physical analysis of the dynamical glass-jamming transition which occurs for the so called Knight models recently introduced and analyzed in a joint work with D.S.Fisher \cite{letterTBF}. Furthermore, we review some of…

Statistical Mechanics · Physics 2015-06-25 Cristina Toninelli , Giulio Biroli

We use a Monte Carlo bond-switching method to study systematically the thermodynamic properties of a "continuous random network" model, the canonical model for such amorphous systems as a-Si and a-SiO$_2$. Simulations show first-order…

Statistical Mechanics · Physics 2009-10-31 Yuhai Tu , J. Tersoff , G. Grinstein , David Vanderbilt

Glass transitions are widely observed in various types of soft matter systems. However, the physical mechanism of these transitions remains {elusive}, despite years of ambitious research. In particular, an important unanswered question is…

Disordered Systems and Neural Networks · Physics 2022-12-20 Norihiro Oyama , Shihori Koyama , Takeshi Kawasaki

To better understand the surprising low-frequency vibrational modes in structural glasses, we study the spectra of a large ensemble of sparse random matrices where disorder is controlled by the distribution of bond weights and network…

Disordered Systems and Neural Networks · Physics 2018-10-31 E M Stanifer , P K Morse , A A Middleton , M L Manning

We analyze the properties of a Lennard-Jones system at the level of the potential energy landscape. After an exhaustive investigation of the topological features of the landscape of the systems, obtained studying small size sample, we…

Disordered Systems and Neural Networks · Physics 2016-08-31 L. Angelani , G. Parisi , G. Ruocco , G. Viliani

A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behaviour of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very…

Disordered Systems and Neural Networks · Physics 2016-08-31 Luca Angelani , Claudio Conti , Giancarlo Ruocco , Francesco Zamponi

Large scale quantum annealing dynamics of Ising spin glasses were recently implemented on D-Wave's Advantage$2$ system on a range of lattices. Following extensive comparison to existing numerical methods, these experiments were claimed to…

Quantum Physics · Physics 2026-05-29 Joseph Tindall , Antonio Mello , Matt Fishman , Miles Stoudenmire , Dries Sels

In the framework of schematic hard spheres lattice models we discuss Edwards' Statistical Mechanics approach to granular media. As this approach appears to hold here to a very good approximation, by analytical calculations of Edwards'…

Statistical Mechanics · Physics 2007-05-23 M. Nicodemi , A. Coniglio , A. de Candia , A. Fierro , M. Pica Ciamarra , M. Tarzia

We discuss a number of essential dynamical features of the Biroli-Mezard model. We observe a dynamical slowing down which for high densities depends both on the observation time and on the age of the system. We relate this ageing behavior…

Statistical Mechanics · Physics 2009-11-11 E. Marinari , V. Van Kerrebroeck

We present here for the first time a unifying perspective for the lack of equipartition in non-linear ordered systems and the low temperature phase-space fragmentation in disordered systems. We demonstrate that they are just two…

Statistical Mechanics · Physics 2021-02-08 Giacomo Gradenigo , Fabrizio Antenucci , Luca Leuzzi

Motivated by the concept of geometrical frustration, we introduce a class of statistical mechanics lattice models for the glass transition. Monte Carlo simulations in three dimensions show that they display a dynamical glass transition…

Statistical Mechanics · Physics 2009-11-07 Giulio Biroli , Marc Mezard

We present an effcient Monte-Carlo method for lattice glass models which are characterized by hard constraint conditions. The basic idea of the method is similar to that of the $N$-fold way method. By using a list of sites into which we can…

Statistical Mechanics · Physics 2015-06-05 Munetaka Sasaki , Koji Hukushima

We investigate a binary Lennard-Jones mixture with molecular dynamics simulations. We consider first a system cooled linearly in time with the cooling rate gamma. By varying gamma over almost four decades we study the influence of the…

Statistical Mechanics · Physics 2015-06-25 K. Vollmayr-Lee , W. Kob , K. Binder , A. Zippelius

Many important challenges in science and technology can be cast as optimization problems. When viewed in a statistical physics framework, these can be tackled by simulated annealing, where a gradual cooling procedure helps search for…

Disordered Systems and Neural Networks · Physics 2024-01-17 Mohamed Hibat-Allah , Estelle M. Inack , Roeland Wiersema , Roger G. Melko , Juan Carrasquilla

Exactly solvable neural network models with asymmetric weights are rare, and exact solutions are available only in some mean-field approaches. In this article we find exact analytical solutions of an asymmetric spin-glass-like model of…

Neurons and Cognition · Quantitative Biology 2017-02-16 Diego Fasoli , Anna Cattani , Stefano Panzeri

We present a renormalization-grouplike method performed in the state space for detecting the dynamical behaviors of large scale-free Boolean networks, especially for the chaotic regime as well as the edge of chaos. Numerical simulations…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wen-Xu Wang , Gang Yan , Jie Ren , Bing-Hong Wang

We study the glass and jamming transition of finite-dimensional models of simple liquids: hard- spheres, harmonic spheres and more generally bounded pair potentials that modelize frictionless spheres in interaction. At finite temperature,…

Disordered Systems and Neural Networks · Physics 2013-07-16 Hugo Jacquin