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We study the equilibrium properties of an Ising frustrated lattice gas with a mean field replica approach. This model bridges usual {\em Spin Glasses} and a version of {\em Frustrated Percolation} model, and has proven relevant to describe…

Condensed Matter · Physics 2009-10-28 Jeferson J. Arenzon , Mario Nicodemi , Mauro Sellitto

We introduce a mean-field model for the potential energy landscape of a thin fluid film confined between parallel substrates. The model predicts how the number of accessible basins on the energy landscape and, consequently, the film's ideal…

Condensed Matter · Physics 2009-11-10 Thomas M. Truskett , Venkat Ganesan

We have analyzed a non-randomly frustrated spin model which exhibits behavior remarkably similar to the phenomenology of structural glasses. The high-temperature disordered phase undergoes a strong first-order transition to a long-range…

Statistical Mechanics · Physics 2008-02-03 Lei Gu , Bulbul Chakraborty

We approximate a 2D Ising spin glass by tiling an infinite square lattice with large identical unit cells. The interactions within the unit cell are random. Each such sample shows one or more critical points. We examine the scaling of the…

Disordered Systems and Neural Networks · Physics 2009-10-30 David A Huse , Lee-Fen Ko

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

We study numerically a monodisperse model of interacting classical particles predicted to exhibit a static liquid-glass transition. Using a dynamical Monte Carlo method we show that the model does not freeze into a glassy phase at low…

Disordered Systems and Neural Networks · Physics 2011-11-10 Charlotte Gils , Helmut G. Katzgraber , Matthias Troyer

We prove that the empirical density of states of quantum spin glasses on arbitrary graphs converges to a normal distribution as long as the maximal degree is negligible compared with the total number of edges. This extends the recent…

Mathematical Physics · Physics 2016-10-25 László Erdős , Dominik Schröder

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

Despite decades of studies on the grand problem of the glass transition the question of well-defined universal patterns, including the key problem of the previtreous behavior of the primary (structural) relaxation time, remains elusive.…

Soft Condensed Matter · Physics 2018-09-18 Aleksandra Drozd-Rzoska

We present a simulation study of the one-dimensional $\varphi^4$ lattice theory with long-range interactions decaying as an inverse power $r^{-(1+\sigma)}$ of the intersite distance $r$, $\sigma>0$. We consider the cases of single and…

Statistical Mechanics · Physics 2022-04-06 Stefano Iubini , Stefano Lepri , Stefano Ruffo

Framing the glass formation within standard statistical mechanics is an outstanding problem of condensed matter theory. To provide new insight, we investigate the structural properties of the Lennard-Jones fluid in the very-low temperature…

Statistical Mechanics · Physics 2026-02-02 Bomont Jean-Marc , Bretonnet Jean-Louis , Costa Dino , Pastore Giorgio

A spin-glass transition has been investigated for a long time but we have not yet reached a conclusion due to difficulties in the simulations. They are slow dynamics, strong finite-size effects, and sample-to-sample dependences. We…

Disordered Systems and Neural Networks · Physics 2019-02-11 Tota Nakamura

I study a dimer model on the square lattice with nearest-neighbor exclusion as the only interaction. Detailed simulations using tomographic entropic sampling show that as the chemical potential is varied, there is a strongly discontinuous…

Statistical Mechanics · Physics 2015-03-20 Ronald Dickman

We propose a model for a two dimensional, associative water-like lattice gas with one single variable representing both long and short-range interactions. The corresponding hamiltonian was solved exactly, by state enumeration in a finite…

Statistical Mechanics · Physics 2011-11-21 Marcelo R. Thielo , Marcia C. B. Barbosa

We develop a transferable machine learning model which predicts structural relaxation from amorphous supercooled liquid structures. The trained networks are able to predict dynamic heterogeneity across a broad range of temperatures and time…

Soft Condensed Matter · Physics 2024-02-27 Gerhard Jung , Giulio Biroli , Ludovic Berthier

Understanding the mechanical properties of glasses remains elusive since the glass transition itself is not fully understood, even in well studied examples of glass formers in two dimensions. In this context we demonstrate here: (i) a…

Using density-functional molecular dynamics simulations we analyzed the cooling-rate effects on the physical properties of GeS$_2$ chalcogenide glasses. Liquid samples were cooled linearly in time according to $T(t) = T_0 - \gamma t$ where…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sebastien Le Roux , Philippe Jund

We study the statistical mechanics and the equilibrium dynamics of a system of classical Heisenberg spins with frustrated interactions on a $d$-dimensional simple hypercubic lattice, in the limit of infinite dimensionality $d \to \infty$.…

Disordered Systems and Neural Networks · Physics 2024-04-25 Achille Mauri , Mikhail I. Katsnelson

By means of an effective potential associated to a constrained equilibrium measure and apt to study frozen systems, we investigate glassy freezing in simple liquids in the hypernetted chain (HNC) approximation. Differently from other…

Statistical Mechanics · Physics 2009-10-31 Miguel Cardenas , Silvio Franz , Giorgio Parisi

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
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