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The Ising model is well-known for illustrating the fundamental characteristics of phase transitions in closed systems. In this article, we propose a generalization of the two-dimensional Ising model to open systems, considering the…

材料科学 · 物理学 2024-11-11 Andriy Gusak , Serhii Abakumov

We study a quantum extension of the spherical $p$-spin-glass model using the imaginary-time replica formalism. We solve the model numerically and we discuss two analytical approximation schemes that capture most of the features of the…

无序系统与神经网络 · 物理学 2009-10-31 Leticia F Cugliandolo , D. R. Grempel , Constantino A da Silva Santos

We experimentally revisite the flow down an inclined plane of dense granular suspensions, with particles of sizes in the micron range, for which thermal fluctuations cannot be ignored. Using confocal microscopy on a miniaturized set-up, we…

软凝聚态物质 · 物理学 2023-10-16 Alice Billon , Yoël Forterre , Olivier Pouliquen , Olivier Dauchot

The short- and long-time dynamics of model systems undergoing a glass transition with apparent inversion of Kauzmann and dynamical arrest glass transition lines is investigated. These models belong to the class of the spherical mean-field…

无序系统与神经网络 · 物理学 2016-01-06 Corrado Rainone , Ulisse Ferrari , Matteo Paoluzzi , Luca Leuzzi

The dynamics of a random (quenched) field Ising model (in two dimension) at zero temperature in the presence of an additional sinusoidally oscillating homogeneous (in space) magnetic field has been studied by Monte Carlo simulation using…

凝聚态物理 · 物理学 2015-06-25 Muktish Acharyya

We consider the phase diagram of a classical fluid in the presence of a random pinning potential of arbitrary strength. Introducing replicas for averaging over the quenched disorder, we use the hypernetted chain approximation to calculate…

凝聚态物理 · 物理学 2009-10-31 Fabrice Thalmann , Chandan Dasgupta , Denis Feinberg

We investigate the nature of the critical behaviour of the random-anisotropy Heisenberg model (RAM), which describes a magnetic system with random uniaxial single-site anisotropy, such as some amorphous alloys of rare earths and transition…

无序系统与神经网络 · 物理学 2007-05-23 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We present details of the phase diagrams of fermionic systems with random and frustrated interactions, emphasizing the important role of the chemical potential. The insulating fermionic Ising spin glass model is shown to reveal different…

无序系统与神经网络 · 物理学 2007-05-23 R. Oppermann , B. Rosenow

We study thermally activated dynamics using functional renormalization within the field theory of randomly pinned elastic systems, a prototype for glasses. It appears through an essentially non-perturbative boundary layer in the running…

无序系统与神经网络 · 物理学 2007-05-23 Leon Balents , Pierre Le Doussal

In this talk I review some recent developments which shed light on the main connections between structural glasses and mean-field spin glass models with a discontinuous transition. I also discuss the role of quantum fluctuations on the…

无序系统与神经网络 · 物理学 2009-10-28 Felix Ritort

We study the three-spin model and the Ising spin glass in a field using Migdal-Kadanoff approximation. The flows of the couplings and fields indicate no phase transition, but they show even for the three-spin model a slow crossover to the…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore

We consider the critical properties of points of continuous glass transition as one can find in liquids in presence of constraints or in liquids in porous media. Through a one loop analysis we show that the critical Replica Field Theory…

统计力学 · 物理学 2015-03-20 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi

Glassy systems are disordered systems characterized by extremely slow dynamics. Examples are supercooled liquids, whose dynamics slow down under cooling. The specific pattern of slowing-down depends on the material considered. This…

无序系统与神经网络 · 物理学 2016-04-12 Le Yan

Finite-range interacting spin models are the simplest models to study the effect of beyond nearest-neighbour interactions and access new effects caused by the range of the interactions. Recent experiments have reached the regime of dominant…

原子物理 · 物理学 2018-01-16 Peter Schauss

We carry out an analysis of the effect of a quenched magnetic field on the dynamics of the spherical Sherrington-Kirkpatrick spin-glass model. We show that there is a characteristic time introduced by the presence of the field. Firstly, for…

凝聚态物理 · 物理学 2009-10-28 L. F. Cugliandolo , D. S. Dean

We attribute similarities in the rheology of many soft materials (foams, emulsions, slurries, etc.) to the shared features of structural disorder and metastability. A generic model for the mesoscopic dynamics of ``soft glassy matter'' is…

软凝聚态物质 · 物理学 2009-10-28 Peter Sollich , Francois Lequeux , Pascal Hebraud , Michael E Cates

We study the out-of-equilibrium dynamics in the quantum Ising model with power-law interactions and positional disorder. For arbitrary dimension $d$ and interaction range $\alpha \geq d$ we analytically find a stretched exponential decay of…

A dynamic model of the asymmetric Ising glass is presented: an Ising model with antiferromagnet bonds with probabilities q arranged at random in a ferromagnetic matrix. The dynamics is introduced by changing the arrangement of the…

统计力学 · 物理学 2009-11-13 Gillian A Gehring , Mahrous R Ahmed , Alex J. Crombie

The effects of random magnetic fields are considered in an Ising spin-glass model defined in the limit of infinite-range interactions. The probability distribution for the random magnetic fields is a double Gaussian, which consists of two…

统计力学 · 物理学 2009-11-13 N. Crokidakis , F. D. Nobre

Although the fully connected Ising model does not have a length scale, we show that its critical exponents can be found using finite size scaling with the scaling variable equal to N, the number of spins. We find that at the critical…

统计力学 · 物理学 2014-10-15 Louis Colonna-Romano , Harvey Gould , W. Klein