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In spin glass models one can remove minimization of free energy by some order parameter. One can consider hierarchy of order parameters. It is possible to divide energy among these parts. We can consider relaxation process in glass system…

Disordered Systems and Neural Networks · Physics 2016-08-31 D. B. Saakian

By using frustration-preserving hard-spin mean-field theory, we investigated the phase transition dynamics in the three-dimensional field-free $\pm J$ Ising spin glass model. As the temperature $T$ is decreased from paramagnetic phase at…

Statistical Mechanics · Physics 2021-09-29 Ozan S. Sarıyer

A model of spinless interacting electrons in presence of randomness is examined using an extended dynamical mean-field formulation. When the interaction strength is large as compared to the Fermi energy, a low temperature glassy phase is…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. A. Pastor , V. Dobrosavljevic

The nature of the glass transition is theoretically understood in the mean-field limit of infinite spatial dimensions, but the problem remains totally open in physical dimensions. Nontrivial finite-dimensional fluctuations are hard to…

Statistical Mechanics · Physics 2019-04-05 Ludovic Berthier , Patrick Charbonneau , Andrea Ninarello , Misaki Ozawa , Sho Yaida

Studying the series expansion of the thermodynamic potential for the hard-core N3 lattice-gas model, we provide evidence for a first-order phase-transition with a finite jump in density and entropy, in agreement with numerical transfer…

Statistical Mechanics · Physics 2010-08-27 E. Eisenberg , A. Baram

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in…

We investigate the liquid-glass phase transition in a system of point-like particles interacting via a finite-range attractive potential in D-dimensional space. The phase transition is driven by an `entropy crisis' where the available phase…

Disordered Systems and Neural Networks · Physics 2009-11-11 Vik. S. Dotsenko , G. Blatter

In this paper we study the 3d frustrated lattice gas model in the annealed version, where the disorder is allowed to evolve in time with a suitable kinetic constraint. Although the model does not exhibit any thermodynamic transition it…

Disordered Systems and Neural Networks · Physics 2009-10-31 Annalisa Fierro , Antonio de Candia , Antonio Coniglio

Glass-to-glass and liquid-to-liquid phase transitions were observed many years ago in bulk and confined water with or without applied pressure. It is shown that they result from the competition of two-liquid phases separated by an enthalpy…

Disordered Systems and Neural Networks · Physics 2017-03-21 Robert F Tournier

We study the low temperature phase of the 3D Coulomb glass within a mean field approach which reduces the full problem to an effective single site model with a non-trivial replica structure. We predict a finite glass transition temperature…

Disordered Systems and Neural Networks · Physics 2007-06-13 Markus Mueller , Sergey Pankov

The non-equilibrium relaxational properties of a three dimensional Coulomb glass model are investigated by kinetic Monte Carlo simulations. Our results suggest a transition from stationary to non-stationary dynamics at the equilibrium glass…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , D. R. Grempel , Daniel Dominguez

We study phase transition of a nonequilibrium statistical-mechanical model, in which two degrees of freedom with different time scales separated from each other touch to their own heat bath. A general condition for finding anomalous…

Disordered Systems and Neural Networks · Physics 2008-07-30 C. H. Nakajima , K. Hukushima

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

An equilibrated model glass-forming liquid is studied by mapping successive configurations produced by molecular dynamics simulation onto a time series of inherent structures (local minima in the potential energy). Using this ``inherent…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schroeder , Srikanth Sastry , Jeppe C. Dyre , Sharon C. Glotzer

We introduce a model describing vortices in strongly disordered three-dimensional superconductors. The model focuses on the topological defects, i.e., dislocation lines, in an elastic description of the vortex lattice. The model is studied…

Superconductivity · Physics 2009-11-10 Jack Lidmar

We study fully occupied lattice systems of classical magnetic dipoles which point along random axes. Only dipolar interactions are considered. From tempered Monte Carlo simulations, we obtain numerical evidence that supports the following…

Materials Science · Physics 2009-03-05 J. F. Fernández

The Langevin dynamics of a random heteropolymer and its dynamic glass transition are studied using elementary mode coupling theory. Contrary to recent reports using a similar framework, a discontinuous ergodic-nonergodic phase transition is…

Statistical Mechanics · Physics 2009-10-30 Shoji Takada , John J. Portman , Peter G. Wolynes

A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an…

Statistical Mechanics · Physics 2009-11-11 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

Dilute dipolar systems in three dimensions are expected to undergo a spin glass transition as the temperature decreases. Contrary to this, we find from Wang-Landau Monte Carlo simulations that at low concentrations $x$, dipoles randomly…

Soft Condensed Matter · Physics 2009-11-11 Joseph Snider , Clare C. Yu

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