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Related papers: Spin Glasses: Model systems for non-equilibrium dy…

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Spin glasses are magnetic materials exhibiting numerous magnetization patterns, that randomly vary both in real space and in time. To date, it is still not well understood what the nature of these spatiotemporal dynamics is, namely if they…

Materials Science · Physics 2024-12-23 L. Niggli , J. H. Strik , Z. Liu , A. Bergman , M. I. Katsnelson , D. Wegner , A. A. Khajetoorians

We study the out of equilibrium dynamics of the infinite range quantum Heisenberg spin glass model coupled to a thermal relaxation bath. The SU(2) spin algebra is generalized to SU(N) and we analyse the large-N limit. The model displays a…

Strongly Correlated Electrons · Physics 2009-11-07 G. Biroli , O. Parcollet

We discuss the microscopic mechanisms by which low-temperature amorphous states, such as ultrastable glasses, transform into equilibrium fluids, after a sudden temperature increase. Experiments suggest that this process is similar to the…

Statistical Mechanics · Physics 2016-07-05 Robert L. Jack , Ludovic Berthier

Spin glass dynamics is a strong function of spatial dimensionality $D$. The lower critical dimension is close to 2.5, so that, in two dimensions, the condensation temperature $T_\text{g}=0$, and only fluctuations are present at finite…

Disordered Systems and Neural Networks · Physics 2026-04-20 Hongze Li , Raymond L. Orbach , Gregory G. Kenning

Recent high precision experimental results on spin-glass films ask for a detailed understanding of the domain-growth dynamics of two-dimensional spin glasses. To achieve this goal, we numerically simulate the out-equilibrium dynamics of the…

Disordered Systems and Neural Networks · Physics 2019-05-07 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

We investigate the non-equilibrium dynamics of spherical spin models with two-spin interactions. For the exactly solvable models of the d-dimensional spherical ferromagnet and the spherical Sherrington-Kirkpatrick model the asymptotic…

Statistical Mechanics · Physics 2015-06-25 W. Zippold , R. Kuehn , H. Horner

In this topical review we discuss the nature of the low-temperature phase in both infinite-ranged and short-ranged spin glasses. We analyze the meaning of pure states in spin glasses, and distinguish between physical, or ``observable'',…

Disordered Systems and Neural Networks · Physics 2009-11-10 C. M. Newman , D. L. Stein

Effects of temperature changes on the nonequilibrium spin-glass dynamics of a strongly interacting ferromagnetic nanoparticle system (superspin glass) are studied. In contrary to atomic spin glasses, strong cooling rate effects are…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. E. Jönsson , H. Yoshino , H. Mamiya , H. Takayama

Interacting magnetic nanoparticles display a wide variety of magnetic behaviors that are now being gathered in the emerging field of 'supermagnetism.' We have investigated how the out-of-equilibrium dynamics in the disordered superspin…

Disordered Systems and Neural Networks · Physics 2015-06-11 Sawako Nakamae , Caroline Crauste-Thibierge , Denis L'Hote , Eric Vincent , Emmanuelle Dubois , Vincent Dupuis , Regine Perzynski

Apparent critical phenomena, typically indicated by growing correlation lengths and dynamical slowing-down, are ubiquitous in non-equilibrium systems such as supercooled liquids, amorphous solids, active matter and spin glasses. It is often…

Soft Condensed Matter · Physics 2021-04-07 Huaping Li , Yuliang Jin , Ying Jiang , Jeff Z. Y. Chen

The work of this thesis concerns the problem of linear low energy excitations of vector spin glass models. An analytical and numerical study is carried out, considering a fully connected random-field Heisenberg model at zero temperature, a…

Disordered Systems and Neural Networks · Physics 2023-06-16 Flavio Nicoletti

In this article we study a simple spin model which has a non-interacting Hamiltonian but constrained dynamics. The model, which is a simplification of a purely toplogical cellular model, displays glassy behaviour, involves activated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Lexie Davison , David Sherrington , Juan P. Garrahan , Arnaud Buhot

We construct a model of short-range interacting Ising spins on a translationally invariant two-dimensional lattice that mimics a reversible circuit that multiplies or factorizes integers, depending on the choice of boundary conditions. We…

Statistical Mechanics · Physics 2019-10-09 Lei Zhang , Stefanos Kourtis , Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

We have considered the two-spin interaction spherical spin-glass model with asymmetric bonds (coupling constants). Besides the usual interactions between spins and bonds and between the spins and a thermostat with temperature $T_{\sigma}$…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. E. Allahverdyan , D. B. Saakian

We argue that the chaotic temperature effect predicted in Ising spin glasses should be stronger when one considers continuous (XY, Heisenberg) kind of spins, due to bigger entropic fluctuations. We then discuss the behavior of 3d spin…

Disordered Systems and Neural Networks · Physics 2007-05-23 Florent Krzakala

The applications of nonequilbrium relations such as the Jarzynski equality and the fluctuation theorem to spin glasses are considered. The spin glass is a basic platform where we consider an application of an approximate solver of…

Disordered Systems and Neural Networks · Physics 2015-05-18 Masayuki Ohzeki , Hidetoshi Nishimori

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

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…

Statistical Mechanics · Physics 2009-11-13 Gillian A Gehring , Mahrous R Ahmed , Alex J. Crombie

Motivated by short-range Ising spin glasses, we review some rigorous results and their consequences for the relation between the number/nature of equilibrium pure states and nonequilibrium dynamics. Two of the consequences for spin glass…

Disordered Systems and Neural Networks · Physics 2009-11-13 C. M. Newman , D. L. Stein

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , D. R. Grempel , Daniel Dominguez