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The equilibrium phase behavior of microphase-forming systems is notoriously difficult to obtain because of the extended metastability of their modulated phases. In this paper we present a systematic simulation methodology for studying…

Statistical Mechanics · Physics 2015-03-18 Kai Zhang , Patrick Charbonneau

In this paper we consider a 2d random Ising system on a square lattice with nearest neighbour interactions. The disorder is short range correlated and asymmetry between the vertical and the horizontal direction is admitted. More precisely,…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. Pasquini , M. Serva

Recent results for the Ising model with first ($J_1$) and second ($J_2$) neighbour interactions on the body-centered cubic (bcc) lattice suggest that this model can host signatures of strong frustration, including Schottky anomalies and…

Statistical Mechanics · Physics 2022-04-06 M. Schmidt , G. L. Kohlrausch , F. M. Zimmer

Frustration and the associated phenomenon of "avoided criticality" have been proposed as an explanation for the dramatic relaxation slowdown in glass-forming liquids. To test this, we have undertaken a Monte-Carlo study of possibly the…

Statistical Mechanics · Physics 2017-11-01 Ilya Esterlis , Steve A. Kivelson , Gilles Tarjus

The low-energy magnetic configurations of artificial frustrated spin chains are investigated using magnetic force microscopy and micromagnetic simulations. Contrary to most studies on two-dimensional artificial spin systems where…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 V. -D. Nguyen , Y. Perrin , S. Le Denmat , B. Canals , N. Rougemaille

Wang-Landau simulations offer the possibility to integrate explicitly over a collective coordinate and stochastically over the remainder of configuration space. We propose to choose the so-called "slow mode", which is responsible for large…

Statistical Mechanics · Physics 2022-11-30 Kurt Langfeld , Pavel Buividovich , P. E. L Rakow , James Roscoe

Latency and efficiency issues are often overlooked when evaluating IR models based on Pretrained Language Models (PLMs) in reason of multiple hardware and software testing scenarios. Nevertheless, efficiency is an important part of such…

Information Retrieval · Computer Science 2022-07-11 Carlos Lassance , Stéphane Clinchant

Quenched disorder effects on frustrated systems are explored by considering random fluctuations on the antiferromagnetic (AF) interactions between spins on the checkerboard lattice. The replica framework is adopted within a cluster…

Disordered Systems and Neural Networks · Physics 2022-04-13 F. M. Zimmer , W. C. Silva , M. Schmidt , S. G. Magalhaes

Using the parallel tempering algorithm and GPU accelerated techniques, we have performed large-scale Monte Carlo simulations of the Ising model on a square lattice with antiferromagnetic (repulsive) nearest-neighbor(NN) and…

Statistical Mechanics · Physics 2015-05-14 Junqi Yin , D. P. Landau

The last decade has seen an explosive growth of interest in exploiting developments in machine learning to accelerate lattice QCD calculations. On the sampling side, generative models are a promising approach to mitigating critical slowing…

High Energy Physics - Lattice · Physics 2025-02-24 Scott Lawrence

Here an artificial spin ice (ASI) lattice is introduced that exhibits unique Ising and non-Ising behavior under specific field switching protocols because of the inclusion of coupled nanomagnets into the unit cell. In the Ising regime, a…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 R. Puttock , A. Manzin , V. Neu , F. Garcia Sanchez , A. Fernandez Scarioni , H. W. Schumacher , O. Kazakova

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

We present simulation results for the dynamics of a schematic model based on the frustration-limited domain picture of glass-forming liquids. These results are compared with approximate theoretical predictions analogous to those commonly…

Statistical Mechanics · Physics 2009-11-10 Phillip L. Geissler , David R. Reichman

Despite the numerous successful applications of lattice QCD in nuclear and particle theory, fundamental algorithmic challenges remain. Among those, relevant for numerical studies of QCD on a space-time torus, is topological freezing--a form…

High Energy Physics - Lattice · Physics 2016-12-07 Michael G. Endres

We study the slow quench dynamics of a one-dimensional nonequilibrium lattice gas model which exhibits a phase transition in the stationary state between a fluid phase with homogeneously distributed particles and a jammed phase with a…

Statistical Mechanics · Physics 2017-09-11 Priyanka , Kavita Jain

We consider the equilibrium dynamics of Ising spin models with multi-spin interactions on sparse random graphs (Bethe lattices). Such models undergo a mean field glass transition upon increasing the graph connectivity or lowering the…

Statistical Mechanics · Physics 2009-11-10 Andrea Montanari , Guilhem Semerjian

The resolution of geometric frustration in systems with continuous degrees of freedom often involves a cooperative inhomogeneous response and super-extensive energy scaling. In contrast, the frustration in frustrated Ising-like spin systems…

Soft Condensed Matter · Physics 2022-06-29 Snir Meiri , Efi Efrati

The ground state phase diagram is determined for the frustrated classical Heisenberg chain with added nearest-neighbor biquadratic exchange interactions. There appear ferromagnetic, incommensurate-spiral, and up-up-down-down phases; a…

Strongly Correlated Electrons · Physics 2013-05-29 T. A. Kaplan

Computational sampling has been central to the sciences since the mid-20th century. While machine-learning-based approaches have recently enabled major advances, their behavior remains poorly understood, with limited theoretical control…

Disordered Systems and Neural Networks · Physics 2026-05-21 Luca Maria Del Bono , Giulio Biroli , Patrick Charbonneau , Marylou Gabrié

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
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