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Related papers: Nonreciprocal Spin-Glass Transition and Aging

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Different sets of metastable states can be reached in glassy systems below some transition temperature depending on initial conditions and details of the dynamics. This is investigated for the Sherrington-Kirkpatrick spin glass model with…

Disordered Systems and Neural Networks · Physics 2015-03-13 Heinz Horner

We present a general framework for incorporating non-reciprocal interactions into the Ising model with Glauber dynamics, without requiring multiple species. We then focus on a model with vision-cone type interactions. We solve it in a fully…

Statistical Mechanics · Physics 2025-05-09 Adrià Garcés , Demian Levis

We derive a rigorous dynamical relation on aging phenomena -- the aging relation -- for Ising spin glasses using the method of gauge transformation. The waiting-time dependence of the auto-correlation function in the zero-field-cooling…

Disordered Systems and Neural Networks · Physics 2009-10-28 Yukiyasu Ozeki

We recently showed that the two-dimensional Ising spin glass allows for a line of renormalization group fixed points which explains properties observed in numerical studies. We observe that this exact result corresponds to enhancement to a…

Statistical Mechanics · Physics 2026-04-15 Gesualdo Delfino

Many systems in nature, glasses, interfaces and fractures being some examples, cannot equilibrate with their environment, which gives rise to novel and surprising behaviour such as memory effects, ageing and nonlinear dynamics. Unlike their…

Superconductivity · Physics 2015-05-13 Xu Du , Guohong Li , Eva Y. Andrei , M. Greenblatt , P. Shuk

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

In this paper we study the phase diagram of a Sherrington-Kirkpatrick (SK) model where the couplings are forced to thermalize at different time scales. Besides being a challenging generalization of the SK model, such settings may arise…

Mathematical Physics · Physics 2026-01-14 Francesco Camilli , Pierluigi Contucci , Emanuele Mingione , Daniele Tantari

A key open question in the glass transition field is whether a finite temperature thermodynamic transition to the glass state exists or not. Recent simulations of coupled replicas in atomistic models have found signatures of a static…

Statistical Mechanics · Physics 2015-06-18 Juan P. Garrahan

The analytical solution to the out-of-equilibrium dynamics of mean-field spin glasses has profoundly shaped our understanding of glassy dynamics, which take place in many diverse physical systems. In particular, the idea that during the…

Disordered Systems and Neural Networks · Physics 2025-12-11 Vincenzo Citro , Federico Ricci-Tersenghi

We report results of dynamic light scattering measurements of the coherent intermediate scattering function (ISF) of glasses of hard spheres for several volume fractions and a range of scattering vectors around the primary maximum of the…

Soft Condensed Matter · Physics 2015-05-19 V. A. Martinez , G. Bryant , W. van Megen

The spherical mean field approximation of a spin-1 model with p-body quenched disordered interaction is investigated. Depending on temperature and chemical potential the system is found in a paramagnetic or in a glassy phase and the…

Disordered Systems and Neural Networks · Physics 2012-03-06 Ulisse Ferrari , Luca Leuzzi

Symmetry considerations and a direct, Hubbard-Stratonovich type, derivation are used to construct a replica field-theory relevant to the study of the spin glass transition of short range models in a magnetic field. A mean-field treatment…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Temesvari , C. De Dominicis , I. R. Pimentel

The behavior of a family of mean-field glass models is reviewed. The models are analyzed by means of a Langevin-based approach to the dynamics and a Replica theory computation of the thermodynamics. We focus on the phase diagram of a…

Disordered Systems and Neural Networks · Physics 2009-04-23 Luca Leuzzi

Topological defects are typically quantified relative to ordered backgrounds. The importance of these defects to the understanding of physical phenomena including diverse equilibrium melting transitions from low temperature ordered to…

Statistical Mechanics · Physics 2019-02-19 Z. Nussinov , N. B. Weingartner , F. S. Nogueira

The synergetic approach proposed here is based on characteristic instability of chemical bonding in the form of the bond wave considered as the spatiotemporal correlation between the elementary acts of bond exchange. In frames of the model,…

Materials Science · Physics 2024-07-02 Elena A. Chechetkina

We numerically analyze the statistics of the heat flow between an aging system and its thermal bath, following a method proposed and tested for a spin-glass model in a recent Letter (P. Sibani and H.J. Jensen, Europhys. Lett.69, 563…

Statistical Mechanics · Physics 2009-11-11 Paolo Sibani

The spin-glass transition in external magnetic field is studied both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the…

Disordered Systems and Neural Networks · Physics 2013-05-29 L Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

Spin-liquid and spin-glass states represent two distinct phases of disordered quantum spin systems. These states are, in principle, distinguished by quantum-entangled fluctuations and spin freezing, but identifying each state and…

Strongly Correlated Electrons · Physics 2025-12-09 Shusei Wadashima , Yukitoshi Motome

We present results of a Monte Carlo study of the equilibrium dynamics of the one dimensional long-range Ising spin glass model. By tuning a parameter $\sigma$, this model interpolates between the mean field Sherrington-Kirkpatrick model and…

Disordered Systems and Neural Networks · Physics 2015-07-31 Alain Billoire

The structure of states of the perturbed p-spin spherical spin-glass is analyzed. At low enough free energy metastable states have a supersymmetric structure, while at higher free energies the supersymmetry is broken. The transition between…

Disordered Systems and Neural Networks · Physics 2009-11-10 Alessia Annibale , Giulia Gualdi , Andrea Cavagna