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Related papers: Simplified dynamics for glass model

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Using mean-field approximations, this paper identifies a phase transition in a three-dimensional Electron Glass lattice model. The density of states of the eigenvalue distribution of the inverse susceptibility matrix is used to identify the…

Disordered Systems and Neural Networks · Physics 2023-08-02 Preeti Bhandari , Vikas Malik

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. J. Brey

We introduce a mean field spin glass model with gaussian distribuited spins and pairwise interactions, whose couplings are drawn randomly from a normal gaussian distribution too. We completely control the main thermodynamical properties of…

Mathematical Physics · Physics 2012-05-18 Adriano Barra , Giuseppe Genovese , Francesco Guerra , Daniele Tantari

We use computer simulations to probe the thermodynamic and dynamic properties of a glass-former that undergoes an ideal glass-transition because of the presence of randomly pinned particles. We find that even deep in the equilibrium glass…

Disordered Systems and Neural Networks · Physics 2018-12-03 Misaki Ozawa , Atsushi Ikeda , Kunimasa Miyazaki , Walter Kob

Dynamic facilitation theory assumes short-ranged dynamic constraints to be the essential feature of supercooled liquids and draws much of its conclusions from the study of kinetically constrained models. While deceptively simple, these…

Materials Science · Physics 2012-06-12 Thomas Speck , David Chandler

We propose a simple theory for the dynamics of model glass-forming fluids, which should be solvable using a mean-field-like approach. The theory is based on transparent physical assumptions, which can be tested in computer simulations. The…

Disordered Systems and Neural Networks · Physics 2017-10-18 Grzegorz Szamel

Critical slowing down dynamics of supercooled glass-forming liquids is usually understood at the mean-field level in the framework of Mode Coupling Theory, providing a two-time relaxation scenario and power-law behaviors of the time…

Disordered Systems and Neural Networks · Physics 2013-01-30 Ulisse Ferrari , Luca Leuzzi , Giorgio Parisi , Tommaso Rizzo

The description of activated relaxation of glassy systems in the multidimensional configurational space is a long-standing open problem. We develop a phenomenological description of the out-of-equilibrium dynamics of a model with a rough…

Disordered Systems and Neural Networks · Physics 2014-10-09 Chiara Cammarota , Enzo Marinari

We study a chain of identical glassy systems in a constrained equilibrium where each bond of the chain is forced to remain at a preassigned distance to the previous one. We apply this description to Mean Field Glassy systems in the limit of…

Statistical Mechanics · Physics 2016-03-08 Silvio Franz , Giorgio Parisi

We study the low temperature dynamics of a two dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual…

Disordered Systems and Neural Networks · Physics 2009-10-31 Juan P. Garrahan , M. E. J. Newman

We consider ``lattice glass models'' in which each site can be occupied by at most one particle, and any particle may have at most l occupied nearest neighbors. Using the cavity method for locally tree-like lattices, we derive the phase…

Statistical Mechanics · Physics 2015-06-24 O. Rivoire , G. Biroli , O. C. Martin , M. Mezard

Energy landscapes are high-dimensional surfaces representing the dependence of system energy on variable configurations, which determine crucially the system's emergent behavior but are difficult to be analyzed due to their high-dimensional…

Disordered Systems and Neural Networks · Physics 2024-05-24 Ho Fai Po , Chi Ho Yeung

The planted p-spin interaction model is a paradigm of random-graph systems possessing both a ferromagnetic phase and a disordered phase with the latter splitting into many spin glass states at low temperatures. Conventional simulated…

Disordered Systems and Neural Networks · Physics 2021-04-14 Hai-Jun Zhou , Qinyi Liao

Many recent experiments probed the off equilibrium dynamics of spin glasses and other glassy systems through temperature cycling protocols and observed memory and rejuvenation phenomena. Here we show through numerical simulations, using…

Disordered Systems and Neural Networks · Physics 2009-09-29 Florent Krzakala , Federico Ricci-Tersenghi

We study the Metropolis dynamics of the simplest mean-field spin glass model, the Random Energy Model. We show that this dynamics exhibits aging by showing that the properly rescaled time change process between the Metropolis dynamics and a…

Probability · Mathematics 2015-02-17 Jiří Černý , Tobias Wassmer

For amorphous solids, it has been intensely debated whether the traditional view on solids, in terms of the ground state and harmonic low energy excitations on top of it, such as phonons, is still valid. Recent theoretical developments of…

Soft Condensed Matter · Physics 2017-04-26 Yuliang Jin , Hajime Yoshino

For a model glass-former we demonstrate via computer simulations how macroscopic dynamic quantities can be inferred from a PEL analysis. The essential step is to consider whole superstructures of many PEL minima, called metabasins, rather…

Statistical Mechanics · Physics 2009-11-10 Burkhard Doliwa , Andreas Heuer

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

Energy barriers determine the dynamics in many physical systems like structural glasses, disordered spin systems or proteins. Here we present an approach, which is based on subdividing the configuration space in a hierarchical manner,…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Amoruso , A. K. Hartmann , M. A. Moore

Glass-like materials are nonequilibrium systems where the relaxation time may exceed reasonable time scales of observations. In the present paper a dynamic percolation model is introduced in order to explain the principal properties of…

Condensed Matter · Physics 2007-05-23 A. Vazquez , O. Sotolongo-Costa