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We revisit the long time dynamics of the spherical fully connected $p = 2$-spin glass model when the number of spins $N$ is large but {\it finite}. At $T=0$ where the system is in a (trivial) spin-glass phase, and on long time scale $t…

Disordered Systems and Neural Networks · Physics 2016-01-08 Yan V. Fyodorov , Anthony Perret , Gregory Schehr

The correlation length $\xi$, a key quantity in glassy dynamics, can now be precisely measured for spin glasses both in experiments and in simulations. However, known analysis methods lead to discrepancies either for large external fields…

We study nonequilibrium dynamical properties of inhomogeneous systems, in particular at a free surface or at a defect plane. Thereby we consider nonconserved (model-A) dynamics of a system which is prepared in the high-temperature phase and…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling , Ferenc Igloi

Experimental measurements of nonlinear dielectric response in glassformers like supercooled glycerol or propylene carbonate have been interpreted as providing evidence for a growing thermodynamic length scale when lowering temperature. A…

Disordered Systems and Neural Networks · Physics 2026-01-08 Eric Bertin , François Ladieu

The growth of correlation lengths in equilibrium glass-forming liquids near the glass transition is considered a critical finding in the quest to understand the physics of glass formation. These understandings helped us understand various…

Soft Condensed Matter · Physics 2023-08-16 Anoop Mutneja , Smarajit Karmakar

We investigate numerically the dynamics of three different spin models in the aging regime. Each of these models is meant to be representative of a distinct class of aging behavior: coarsening systems, discontinuous spin glasses, and…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Montanari , Federico Ricci-Tersenghi

In this paper we propose a short range generalization of the $p$-spin interaction spin-glass model. The model is well suited to test the idea that an entropy collapse is at the bottom-line of the dynamical singularity encountered in…

Condensed Matter · Physics 2009-10-28 Diego Alvarez , Silvio Franz , Felix Ritort

Non-deterministic polynomial-time (NP) problems are ubiquitous in almost every field of study. Recently, all-optical approaches have been explored for solving classic NP problems based on the spin-glass Ising Hamiltonian. However, obtaining…

Disordered Systems and Neural Networks · Physics 2025-12-15 Louis Delloye , Gianni Jacucci , Raj Pandya , Davide Pierangeli , Claudio Conti , Sylvain Gigan

The quintessential description of Kondo physics in equilibrium is obtained within a scaling picture that shows the buildup of Kondo screening at low temperature. For the non-equilibrium Kondo model with a voltage bias the key new feature…

Strongly Correlated Electrons · Physics 2010-03-22 Peter Fritsch , Stefan Kehrein

We investigate the low-temperature dynamics of a simple stochastic model, introduced recently in the context of the physics of glasses. The slowest characteristic time at equilibrium diverges exponentially at low temperature. On smaller…

Statistical Mechanics · Physics 2009-10-30 C Godreche , J M Luck

Spin and chirality orderings of a three-dimensional XY spin glass are studied by extensive Monte Carlo simulations. By calculating an appropriately defined spin-overlap distribution function, we show that the finite-temperature chiral-glass…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hikaru Kawamura , Mai Suan Li

Equilibrium properties of the three-dimensional isotropic Heisenberg spin glass are studied by extensive Monte Carlo simulations, with particular attention to the nature of its phase transition. A finite-size-scaling analysis is performed…

Disordered Systems and Neural Networks · Physics 2013-05-29 K. Hukushima , H. Kawamura

The dynamics of a spin-1/2 particle coupled to a nuclear spin bath through an isotropic Heisenberg interaction is studied, as a model for the spin decoherence in quantum dots. The time-dependent polarization of the central spin is…

Quantum Physics · Physics 2007-06-28 D. D. Bhaktavatsala Rao , V. Ravishankar , V. Subrahmanyam

The microscopic dependence of glassy equilibration on sample history, both the initial configuration and the specific sequence of random noise, is examined. The temporal evolution of spin configurations in a two-dimensional Ising spin glass…

Disordered Systems and Neural Networks · Physics 2018-08-23 Jie Yang , A. Alan Middleton

Spin-glass (SG) and chiral-glass (CG) orderings in three dimensional (3D) Heisenberg spin glass with and without magnetic anisotropy are studied by using large-scale off-equilibrium Monte Carlo simulations. A characteristic time of…

Disordered Systems and Neural Networks · Physics 2016-08-31 Mitsuhiro Matsumoto , Koji Hukushima , Hajime Takayama

We numerically study the three-dimensional Edwards-Anderson model with Gaussian couplings, focusing on the heterogeneities arising in its nonequilibrium dynamics. Results are analyzed in terms of the backbone picture, which links strong…

Statistical Mechanics · Physics 2016-12-05 F. Roma , S. Bustingorry , P. M. Gleiser

The three-dimensional $\pm J$ Heisenberg spin-glass model is investigated by the non-equilibrium relaxation method from the paramagnetic state. Finite-size effects in the non-equilibrium relaxation are analyzed, and the relaxation functions…

Disordered Systems and Neural Networks · Physics 2009-11-07 Tota Nakamura , Shin-ichi Endoh

All higher-spin s >= 1/2 Ising spin glasses are studied by renormalization-group theory in spatial dimension d=3. The s-sequence of global phase diagrams, the chaos Lyapunov exponent, and the spin-glass runaway exponent are calculated. It…

Disordered Systems and Neural Networks · Physics 2021-10-26 E. Can Artun , A. Nihat Berker

Ordering of the three-dimensional Heisenberg spin glass with Gaussian coupling is studied by extensive Monte Carlo simulations. The model undergoes successive chiral-glass and spin-glass transitions at nonzero temperatures T_{CG} > T_{SG} >…

Disordered Systems and Neural Networks · Physics 2012-01-27 Dao Xuan Viet , Hikaru Kawamura

Motivated by recent experiments of exceptional accuracy, we study numerically the spin-glass dynamics in a film geometry. We cover all the relevant time regimes, from picoseconds to equilibrium, at temperatures at and below the 3D critical…

Disordered Systems and Neural Networks · Physics 2020-02-17 L. A. Fernandez , E. Marinari , V. Martin-Mayor , I. Paga , J. J. Ruiz-Lorenzo