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We review an scenario for the non-equilibrium dynamics of glassy systems that has been motivated by the exact solution of simple models. This approach allows one to set on firmer grounds well-known phenomenological theories. The old ideas…

统计力学 · 物理学 2009-11-07 Leticia F. Cugliandolo

Three different vortex glass models are studied by examining the energy barrier against vortex motion across the system. In the two-dimensional gauge glass this energy barrier is found to increase logarithmically with system size which is…

超导电性 · 物理学 2009-11-07 Petter Holme , Peter Olsson

We investigate dynamical mean-field calculations of the three-band Emery model at the one- and two-particle level for material-realistic parameters of high-$T_c$ superconductors. Our study shows that even within dynamical mean-field theory,…

强关联电子 · 物理学 2025-05-07 Yi-Ting Tseng , Mário O. Malcolms , Henri Menke , Marcel Klett , Thomas Schäfer , Philipp Hansmann

We study the problem of glassy relaxations in the presence of an external field in the highly controlled context of a spin-glass simulation. We consider a small spin glass in three dimensions (specifically, a lattice of size L=8, small…

无序系统与神经网络 · 物理学 2019-03-08 I. Gonzalez-Adalid Pemartin , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

Nonequilibrium statistical mechanics exhibit a variety of complex phenomena far from equilibrium. It inherits challenges of equilibrium, including accurately describing the joint distribution of a large number of configurations, and also…

统计力学 · 物理学 2024-02-08 Ying Tang , Jing Liu , Jiang Zhang , Pan Zhang

The front dynamics in the Harper (or Aubry-Andr\'e) model (which has a localization transition) is investigated using two different settings, particle number front where the system is at zero temperature, and initially, the particle numbers…

统计力学 · 物理学 2023-11-06 Gergo Roosz

We study thermodynamic and dynamic properties of a rigid model of the fragile glass forming liquid orthoterphenyl. A system of N=343 molecules is considered in a wide range of densities and temperatures, reaching simulation times up to 1…

软凝聚态物质 · 物理学 2009-11-07 S. Mossa , E. La Nave , H. E. Stanley , C. Donati , F. Sciortino , P. Tartaglia

We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring particles. The glass transition is signalled by the fact that the…

凝聚态物理 · 物理学 2009-10-28 Jean-Philippe Bouchaud , Alain Comtet , Cécile Monthus

Extending a recent effective theory formulation for the dynamics of kinks in the sine-Gordon model [1], we propose an analogous effective description of $\phi^4$ kinks. Three different reduced models based on the kink position, width and…

斑图形成与孤子 · 物理学 2026-05-22 Jacek Gatlik , Tomasz Dobrowolski , Jean-Guy Caputo , Panayotis G. Kevrekidis

We report the combined results of molecular dynamics simulations and theoretical calculations concerning various dynamical arrest transitions in a model system representing a dipolar fluid, namely, N (softcore) rigid spheres interacting…

The Northeast Model is a spin system on the two-dimensional integer lattice that evolves according to the following rule: Whenever a site's southerly and westerly nearest neighbors have spin $1$, it may reset its own spin by tossing a…

概率论 · 数学 2007-05-23 George Kordzakhia , Steven P. Lalley

At low temperatures, some lattice spin models with simple ferromagnetic or antiferromagnetic interactions (for example nearest-neighbour interaction being isotropic in spin space on a bipartite three-dimensional lattice) produce…

统计力学 · 物理学 2014-09-16 H. Chamati , S. Romano

Kinetically constrained models have been widely studied in the context of glass formers and non-equilibrium statistical mechanics. Although their simple local rules often result in structureless static properties, their dynamics exhibit…

量子物理 · 物理学 2026-03-20 Marcel Cech , Johan du Buisson , Cecilia De Fazio , Federico Carollo , Igor Lesanovsky

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is…

统计力学 · 物理学 2009-11-13 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

A microscopic vision is presented of a Dual Model of Liquids from a solid picture. Among the novelties of this model is that it provides quantitative expressions of various extensive thermophysical properties. The introduction of the…

介观与纳米尺度物理 · 物理学 2025-01-22 Fabio Peluso

Non-equilibrium thermodynamics of the driven resonant level model is studied using numerical simulations based on the driven Liouville von-Neumann formalism. The approach is first validated against recently obtained analytical results for…

介观与纳米尺度物理 · 物理学 2019-10-08 Annabelle Oz , Oded Hod , Abraham Nitzan

The non-equilibrium relaxational properties of a three dimensional Coulomb glass model are investigated by kinetic Monte Carlo simulations. Our results suggest a transition from stationary to non-stationary dynamics at the equilibrium glass…

无序系统与神经网络 · 物理学 2007-05-23 Alejandro B. Kolton , D. R. Grempel , Daniel Dominguez

We investigate the nonequilibrium stationary state (NESS) of the two-dimensional Ising model under a stochastic dichotomous modulation of temperature, which alternates between $T_c \pm \delta$ around the critical temperature $T_c$ at a rate…

统计力学 · 物理学 2026-03-18 Debraj Dutta , Ritwick Sarkar , Urna Basu

Three dimensional Ising model ferromagnets on different lattices with nearest neighbor interactions, and on simple cubic lattices with equivalent interactions out to further neighbors, are studied numerically. The susceptibility data for…

统计力学 · 物理学 2011-07-28 P. H. Lundow , I. A. Campbell

The equilibrium ensemble approach to disordered systems is used to investigate the critical behaviour of the two dimensional Ising model in presence of quenched random site dilution. The numerical transfer matrix technique in semi- infinite…

统计力学 · 物理学 2009-10-31 Giorgio Mazzeo , Reimer Kuehn