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The non-equilibrium ageing behaviour of the 3D and 4D critical Ising spin glass is studied for both binary and gaussian disorder. The same phenomenology of the time-dependent scaling as in non-disordered magnets is found but the…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Michel Pleimling

We study the relaxation dynamics of a Hamiltonian system of N fully-coupled XY spins. The thermodynamics of the system predicts a ferromagnetic and a paramagnetic phase. Starting from out-of-equilibrium initial conditions, the dynamics at…

Statistical Mechanics · Physics 2016-08-31 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

We discuss the behavior of the fully frustrated hypercubic cell in the infinite dimensional mean-field limit. In the Ising case the system undergoes a glass transition, well described by the random orthogonal model. Under the glass…

Condensed Matter · Physics 2009-10-22 Enzo Marinari , Giorgio Parisi , Felix Ritort

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

A spin-1 atomic gas in an optical lattice, in the unit-filling Mott Insulator (MI) phase and in the presence of disordered spin-dependent interaction, is considered. In this regime, at zero temperature, the system is well described by a…

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

The field theory of a short range spin glass with Gaussian random interactions, is considered near the upper critical dimension six. In the glassy phase, replica symmetry breaking is accompanied with massless Goldstone modes, generated by…

Condensed Matter · Physics 2009-11-07 E. Brézin , C. De Dominicis

We introduce an approach to derive an effective scalar field theory for the glass transition; the fluctuating field is the overlap between equilibrium configurations. We apply it to the case of constrained liquids for which the introduction…

Disordered Systems and Neural Networks · Physics 2014-05-07 Giulio Biroli , Chiara Cammarota , Gilles Tarjus , Marco Tarzia

Across many scientific and engineering disciplines, it is important to consider how much the output of a given system changes due to perturbations of the input. Here, we investigate the glassy phase of $\pm J$ spin glasses at zero…

Disordered Systems and Neural Networks · Physics 2022-10-24 Vaibhav Mohanty , Ard A. Louis

A mean field spherical model with random couplings between pairs, quartets, and possibly higher multiplets of spins is considered. It has the same critical behavior as the Sherrington-Kirkpatrick model. It thus exhibits replica symmetry…

Condensed Matter · Physics 2009-10-22 Th. M. Nieuwenhuizen

The Kondo lattice model has been analyzed in the presence of a random inter-site interaction among localized spins with non zero mean Jo and standard deviation J. Following the same framework previously introduced by us, the problem is…

Strongly Correlated Electrons · Physics 2015-06-24 S. G. Magalhaes , A. A. Schmidt , Alba Theumann , B. Coqblin

The field-cooled (FC) process on an Ising spin-glass model is investigated by a standard Monte Calro (MC) method on one hand, and the equilibrium magnetization of the same system is evaluated by the exchang MC method on the other hand. The…

Disordered Systems and Neural Networks · Physics 2015-06-25 Hajime Takayama , Koji Hukushima

We consider nonequilibrium systems such as the Edwards-Anderson Ising spin glass at a temperature where, in equilibrium, there are presumed to be (two or many) broken symmetry pure states. Following a deep quench, we argue that as time goes…

Disordered Systems and Neural Networks · Physics 2015-06-25 C. M. Newman , D. L. Stein

Spin glasses are the paradigm of complex systems. These materials present really slow dynamics. However, the nature of the spin glass phase in finite dimensional systems is still controversial. Different theories describing the low…

Disordered Systems and Neural Networks · Physics 2020-06-24 J. J. Ruiz-Lorenzo

The Ising model in a random field and with power-law decaying ferromagnetic bonds is studied at zero temperature. Comparing the scaling of the energy contributions of the ferromagnetic domain wall flip and of the random field a la Imry-Ma…

Disordered Systems and Neural Networks · Physics 2015-06-15 Luca Leuzzi , Giorgio Parisi

The mechanism of appearance of exponentially large number of metastable states in magnetic phases of disordered Ising magnets with short-range random exchange is suggested. It is based on the assumption that transitions into inhomogeneous…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. N. Timonin

A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behaviour of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very…

Disordered Systems and Neural Networks · Physics 2016-08-31 Luca Angelani , Claudio Conti , Giancarlo Ruocco , Francesco Zamponi

We present numerical simulations of the 4D Edwards Anderson Ising spin glass with binary couplings. Our results, in the midst of strong finite size effects, suggest the existence of a spin glass phase transition. We present a preliminar…

Disordered Systems and Neural Networks · Physics 2009-10-31 Enzo Marinari , Carla Naitza , Francesco Zuliani

We study the Ising model under a time-varying, but spatially homogeneous, Gaussian random magnetic field. In the Monte Carlo simulations, we go beyond the standard analysis of the order parameter by measuring the magnetization probability…

Statistical Mechanics · Physics 2026-03-30 Sara Oliver-Bonafoux , Raul Toral , Amitabha Chakrabarti

Time and history dependent magnetization has been observed in a wide variety of materials, which are collectively termed as the glassy magnetic systems. However, such systems showing similar non-equilibrium magnetic response can be…

Strongly Correlated Electrons · Physics 2020-12-30 Sudip Pal , Kranti Kumar , A. Banerjee , S. B. Roy , A. K. Nigam