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We analyse biased ensembles of trajectories for the random-field Ising model on a fully-connected lattice, which is described exactly by mean-field theory. By coupling the activity of the system to a dynamical biasing field, we find a range…

统计力学 · 物理学 2021-10-27 Jules Guioth , Robert L. Jack

We present a numerical study of the zero-temperature response of the Gaussian random-field Ising model (RFIM) to a slowly varying external field, allowing the system to be trapped in microscopic configurations that are not fully metastable.…

无序系统与神经网络 · 物理学 2009-07-17 F. Salvat-Pujol , E. Vives , M. L. Rosinberg

In this paper and in the companion one we address the problem of identifying the effective theory that describes the statistics of the fluctuations of what is thought to be the relevant order parameter for glassy systems---the overlap field…

统计力学 · 物理学 2018-11-21 G. Biroli , C. Cammarota , G. Tarjus , M. Tarzia

We revisit the phenomenon of spinodals in the presence of quenched disorder and develop a complete theory for it. We focus on the spinodal of an Ising model in a quenched random field (RFIM), which has applications in many areas from…

软凝聚态物质 · 物理学 2016-05-23 Saroj Kumar Nandi , Giulio Biroli , Gilles Tarjus

We use computer simulations to investigate the extended phase diagram of a supercooled liquid linearly coupled to a quenched reference configuration. An extensive finite-size scaling analysis demonstrates the existence of a random-field…

统计力学 · 物理学 2020-10-29 Benjamin Guiselin , Ludovic Berthier , Gilles Tarjus

We investigate thermodynamic phase transitions of the joint presence of spin glass (SG) and random field (RF) using a random graph model that allows us to deal with the quenched disorder. Therefore, the connectivity becomes a controllable…

无序系统与神经网络 · 物理学 2021-02-24 R. Erichsen , A. Silveira , S. G. Magalhaes

The study of the mean-field static solution of the Random Blume-Emery-Griffiths-Capel model, an Ising-spin lattice gas with quenched random magnetic interaction, is performed. The model exhibits a paramagnetic phase, described by a stable…

统计力学 · 物理学 2009-11-10 Andrea Crisanti , Luca Leuzzi

In this thesis, we discuss nonequilibrium ferromagnetic random field Ising model (RFIM) with zero temperature Glauber single spin flip dynamics. We briefly review the hysteresis in ferromagnets and Barkhausen effect. We discuss some earlier…

统计力学 · 物理学 2009-09-29 Sanjib Sabhapandit

A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behaviour of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very…

无序系统与神经网络 · 物理学 2016-08-31 Luca Angelani , Claudio Conti , Giancarlo Ruocco , Francesco Zamponi

A longstanding open question in the theory of disordered systems is whether short-range models, such as the random field Ising model or the Edwards-Anderson model, can indeed have the famous properties that characterize mean-field spin…

概率论 · 数学 2024-03-11 Sourav Chatterjee

We investigate the phase structure of the random-field Ising model with a bimodal random field distribution. Our aim is to test for the possibility of an equilibrium spin-glass phase, and for replica symmetry breaking (RSB) within such a…

无序系统与神经网络 · 物理学 2009-11-07 Jairo Sinova , Geoff Canright

We present a mean field analysis of a fully frustrated Ising spin model on an Ising lattice gas. This is equivalent to a degenerate Blume-Emery-Griffiths model with frustration, which we analyze for different values of the quadrupolar…

统计力学 · 物理学 2009-10-31 F. di Liberto , F. Peruggi

The phase diagram and the thermodynamics of the random field Ising model (RFIM) defined on a family of diamond hierarchical lattices of arbitrary dimension and scaling factor $b=2$ is investigated. The phase diagram is studied considering…

无序系统与神经网络 · 物理学 2007-05-23 Alexandre Rosas , Sérgio Coutinho

We investigate the replica symmetry broken (RSB) phase of spin glass (SG) models in a random field defined on Bethe lattices at zero temperature. From the properties of the RSB solution we deduce a closed equation for the extreme values of…

无序系统与神经网络 · 物理学 2022-11-11 Gianmarco Perrupato , Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We analyze critical points that can be induced in glassy systems by the presence of constraints. These critical points are predicted by the Mean Field Thermodynamic approach and they are precursors of the standard glass transition in…

统计力学 · 物理学 2014-04-01 Silvio Franz , Giorgio Parisi

We study the random-field Ising model with long-range interactions and show the exactness of the mean-field theory under certain mild conditions. This is a generalization of the result of Mori for the non-random and spin-glass cases. To…

统计力学 · 物理学 2015-06-18 Junichi Tsuda , Hidetoshi Nishimori

The Random Field Ising Model (RFIM) is the simplest physical model reflecting effect of quenched disorder on the different types of phase transitions in solids. The presence of multiple energy minima in the RFIM is an important feature…

无序系统与神经网络 · 物理学 2007-05-23 A. A. Likhachev

We investigate the properties of the glass phase of a recently introduced spin glass model of soft spins subjected to an anharmonic quartic local potential, which serves as a model of low temperature molecular or soft glasses. We solve the…

无序系统与神经网络 · 物理学 2025-11-11 Giampaolo Folena , Pierfrancesco Urbani

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

无序系统与神经网络 · 物理学 2009-11-13 Victor Dotsenko

Developing a unified theory describing both ductile and brittle yielding constitutes a fundamental challenge of non-equilibrium statistical physics. Recently, it has been proposed that the nature of the yielding transition is controlled by…

软凝聚态物质 · 物理学 2024-11-22 Jack T. Parley , Peter Sollich
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