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Through the direct decoration transformation approach, we obtain a general solution for the pentagonal Ising model, showing its equivalence to the isotropic free-fermion eight-vertex model. We study the ground-state phase diagram, in which…

Statistical Mechanics · Physics 2015-03-19 M. Rojas , Onofre Rojas , S. M. de Souza

Using Monte Carlo simulations we study crystallization in the three-dimensional Ising model with four-spin interaction. We monitor the morphology of crystals which grow after placing crystallization seeds in a supercooled liquid. Defects in…

Materials Science · Physics 2009-11-07 A. Lipowski , D. Johnston

A spin glass is a diluted magnetic material in which the magnetic moments are randomly interacting, with a huge number of metastable states which prevent reaching equilibrium. Spin-glass models are conceptually simple, but require very…

Disordered Systems and Neural Networks · Physics 2023-03-03 Eric Vincent

Studies of low-frequency resistance noise demonstrate that glassy freezing occurs in a two-dimensional electron system in silicon in the vicinity of the metal-insulator transition (MIT). The width of the metallic glass phase, which…

Strongly Correlated Electrons · Physics 2009-11-10 D. Popovic , S. Bogdanovich , J. Jaroszynski , T. M. Klapwijk

The ferromagnetic Ising model on an $n\times n$ square lattice region $\Lambda$ with mixed boundary conditions can exhibit a phase transition as temperature varies. For this spin system, if we fix the spins on the top and bottom sides of…

Discrete Mathematics · Computer Science 2026-05-26 David Gillman , Dana Randall

Aging in an attraction-driven colloidal glass is studied by computer simulations. The system is equilibrated without attraction and instantaneously ``quenched'', at constant colloid volume fraction, to one of two states beyond the glass…

Soft Condensed Matter · Physics 2015-06-25 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

We present a theoretical study of the phase diagram of a frustrated Ising model with nearest-neighbor ferromagnetic interactions and long-range (Coulombic) antiferromagnetic interactions. For nonzero frustration, long-range ferromagnetic…

Statistical Mechanics · Physics 2022-08-30 M. Grousson , G. Tarjus , P. Viot

In spin-glass systems, frustration can be adjusted continuously and considerably, without changing the antiferromagnetic bond probability p, by using locally correlated quenched randomness, as we demonstrate here on hypercubic lattices and…

Disordered Systems and Neural Networks · Physics 2014-06-03 Efe Ilker , A. Nihat Berker

Random quenched dilution of the triangular-lattice antiferromagnetic Ising model locally relieves frustration, leading to ordering phenomena. We have studied this system, under such dilution of one sublattice, using hard-spin mean-field…

Statistical Mechanics · Physics 2009-10-31 Huseyin Kaya , A. Nihat Berker

We study the glass formation in two- and three-dimensional Ising and Heisenberg spin systems subject to competing interactions and uniaxial anisotropy with a mean-field approach. In three dimensions, for sufficiently strong anisotropy the…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Alessandro Principi , Mikhail I. Katsnelson

We are interested in the out of equilibrium phenomena observed in the electrical conductance of disordered insulators at low temperature, which may be signatures of the electron coulomb glass state. The present work is devoted to the…

Disordered Systems and Neural Networks · Physics 2010-08-09 Thierry Grenet , Julien Delahaye

We present a detailed study of the nearest-neighbor ferromagnetic Ising model on a Cayley tree. In the limit of zero field, the system displays glassy behavior below a crossover temperature, $T_g$, that scales inversely with the logarithm…

Condensed Matter · Physics 2009-10-28 R. Melin , J. C. Angles d'Auriac , P. Chandra , B. Doucot

We investigate the aging behavior of lattice-gas models with constrained dynamics in which particle exchange with a reservoir is allowed. Such models provide a particularly simple interpretation of aging phenomena as a slow approach to…

Statistical Mechanics · Physics 2009-10-30 Jorge Kurchan , Luca Peliti , Mauro Sellitto

Using Monte Carlo simulations we show that the three-dimensional Ising model with four-spin (plaquette) interactions has some characteristic glassy features. The model dynamically generates diverging energy barriers, which give rise to slow…

Statistical Mechanics · Physics 2015-06-25 A. Lipowski , D. Johnston

We study the interplay of superfluidity, glassy and magnetic orders of hardcore bosons with random frustrating interactions. In the classical limit, this model reduces to a $\pm J$ Edwards-Anderson Ising model with concentration $p$ of the…

Disordered Systems and Neural Networks · Physics 2012-10-16 Derek Larson , Ying-Jer Kao

We study by means of Monte Carlo simulations the off equilibrium properties of a model glass, the Frustrated Ising Lattice Gas (FILG) in three dimensions. We have computed typical two times quantities, like density-density autocorrelations…

Disordered Systems and Neural Networks · Physics 2009-10-31 Daniel A. Stariolo , Jeferson J. Arenzon

We investigate in detail the phase diagrams of the p-body +/-J Ising model with and without random fields on random graphs with fixed connectivity. One of our most interesting findings is that a thermodynamic spin glass phase is present in…

Disordered Systems and Neural Networks · Physics 2011-04-14 Yoshiki Matsuda , Hidetoshi Nishimori , Lenka Zdeborová , Florent Krzakala

The anisotropic frustrated 3D XY model with strong disorder in the coupling constants is studied as a model of a disordered superconductor in an applied magnetic field. Simulations with the exchange Monte Carlo method are performed for…

Superconductivity · Physics 2009-11-11 Peter Olsson

Recent experiments and simulations have revealed glassy features in the cytoplasm, living tissues as well as dense assemblies of self propelled colloids. This leads to a fundamental question: how do these non-equilibrium (active) amorphous…

Soft Condensed Matter · Physics 2020-11-18 Rituparno Mandal , Peter Sollich

The spreading of damage technique is used to study the sensibility to initial conditions in a heath bath Monte Carlo simulation of the spin glass hypercubic cell model. Since the hypercubic cell in dimension 2D and the hypercubic lattice in…

Disordered Systems and Neural Networks · Physics 2009-10-30 Pablo M. Gleiser , Francisco A. Tamarit
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