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We examine the phase diagram of the $p$-interaction spin glass model in a transverse field. We consider a spherical version of the model and compare with results obtained in the Ising case. The analysis of the spherical model, with and…

Disordered Systems and Neural Networks · Physics 2015-06-25 Theo M. Nieuwenhuizen , Felix Ritort

We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring particles. The glass transition is signalled by the fact that the…

Condensed Matter · Physics 2009-10-28 Jean-Philippe Bouchaud , Alain Comtet , Cécile Monthus

We study the glass transition by exploring a broad class of kinetic rules that can significantly modify the normal dynamics of super-cooled liquids, while maintaining thermal equilibrium. Beyond the usual dynamics of liquids, this class…

Soft Condensed Matter · Physics 2024-06-14 Cristina Gavazzoni , Carolina Brito , Matthieu Wyart

We generalize the simplest kinetically constrained model of a glass-forming liquid by softening kinetic constraints, allowing them to be violated with a small finite rate. We demonstrate that this model supports a first-order dynamical…

Statistical Mechanics · Physics 2010-10-14 Yael S. Elmatad , Robert L. Jack , Juan P. Garrahan , David Chandler

We use computer simulations to study the thermodynamic properties of a glass former in which a fraction $c$ of the particles has been permanently frozen. By thermodynamic integration, we determine the Kauzmann, or ideal glass transition,…

Soft Condensed Matter · Physics 2018-02-28 Misaki Ozawa , Walter Kob , Atsushi Ikeda , Kunimasa Miyazaki

The spherical mean field approximation of a spin-1 model with p-body quenched disordered interaction is investigated. Depending on temperature and chemical potential the system is found in a paramagnetic or in a glassy phase and the…

Disordered Systems and Neural Networks · Physics 2012-03-06 Ulisse Ferrari , Luca Leuzzi

The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory. A perturbative renormalization group procedure is carried out through a decomposition of the sine-Gordon field in slow and fast modes.…

Strongly Correlated Electrons · Physics 2015-06-04 Mariana Malard

We investigate dynamic scaling properties of the two-dimensional gauge glass model for the vortex glass phase in superconductors with quenched disorder. From extensive Monte Carlo simulations we obtain static and dynamic finite size scaling…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marios Nikolaou , Mats Wallin

We extend the exact multilocal renormalization group (RG) method to study the flow of the effective action functional. This important physical quantity satisfies an exact RG equation which is then expanded in multilocal components.…

Condensed Matter · Physics 2009-11-10 Gregory Schehr , Pierre Le Doussal

The recently proposed strategy for studying the equilibrium thermodynamics of the glass phase using a molecular liquid is reviewed and tested in details on the solvable case of the $p$-spin model. We derive the general phase diagram, and…

Condensed Matter · Physics 2015-06-25 Marc Mezard

We study the sine-Gordon quantum field theory at finite temperature by generalizing the method of random surfaces to compute the free energy and one-point functions of exponential operators non-perturbatively. Focusing on the gapped phase…

Statistical Mechanics · Physics 2025-06-11 M. Tóth , J. H. Pixley , D. Szász-Schagrin , G. Takács , M. Kormos

Single particle dynamics of water confined in a nanopore is studied through Computer Molecular Dynamics. The pore is modeled to represent the average properties of a pore of Vycor glass. Dynamics is analyzed at different hydration levels…

Statistical Mechanics · Physics 2009-10-31 P. Gallo , M. Rovere , E. Spohr

With extensive variational simulations, dissipative quantum phase transitions in the sub-Ohmic spin-boson model are numerically studied in a dense limit of environmental modes. By employing a generalized trial wave function composed of…

Statistical Mechanics · Physics 2023-09-06 Yulong Shen , Nengji Zhou

Using molecular dynamics computer simulations we investigate the out-of-equilibrium dynamics of a Lennard-Jones system after a quench from a high temperature to one below the glass transition temperature. By studying the radial distribution…

Statistical Mechanics · Physics 2009-10-31 Walter Kob , Jean-Louis Barrat , Francesco Sciortino , Piero Tartaglia

We use large-scale molecular dynamics simulations to study the kinetics of the liquid-gas phase separation if the temperature is lowered across the glass transition of the dense phase. We observe a gradual change from phase separated…

Statistical Mechanics · Physics 2011-06-01 Vincent Testard , Ludovic Berthier , Walter Kob

Yielding behavior in amorphous solids has been investigated in computer simulations employing uniform and cyclic shear deformation. Recent results characterise yielding as a discontinuous transition, with the degree of annealing of glasses…

Disordered Systems and Neural Networks · Physics 2019-12-02 Himangsu Bhaumik , Giuseppe Foffi , Srikanth Sastry

We introduce and analytically study a generalized p-spin glass like model that captures some of the main features of attractive glasses, recently found by Mode Coupling investigations, such as a glass/glass transition line and dynamical…

Statistical Mechanics · Physics 2009-11-10 Antonio Caiazzo , Antonio Coniglio , Mario Nicodemi

We develop a real space renormalisation group analysis of disordered models of glasses, in particular of the spin models at the origin of the Random First Order Transition theory. We find three fixed points respectively associated to the…

Disordered Systems and Neural Networks · Physics 2017-07-05 Maria Chiara Angelini , Giulio Biroli

Using molecular dynamics computer simulations we investigate how in silica the glass transition and the properties of the resulting glass depend on the cooling rate with which the sample is cooled. By coupling the system to a heat bath with…

Condensed Matter · Physics 2009-10-28 Katharina Vollmayr , Walter Kob , Kurt Binder

The exact mean-field theory for the simplest glass-forming system - the dense assembly of hard spheres in the large dimensional limit - predicts the existence of a Gardner phase. This transition is characterized by full replica symmetry…

Disordered Systems and Neural Networks · Physics 2022-06-17 Yuliang Jin , Hajime Yoshino