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We study universality in three-dimensional Ising spin glasses by large-scale Monte Carlo simulations of the Edwards-Anderson Ising spin glass for several choices of bond distributions, with particular emphasis on Gaussian and bimodal…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , Mathias Koerner , A. P. Young

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

Disordered Systems and Neural Networks · Physics 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

We investigate three Ising models on the simple cubic lattice by means of Monte Carlo methods and finite-size scaling. These models are the spin-1/2 Ising model with nearest-neighbor interactions, a spin-1/2 model with nearest-neighbor and…

Condensed Matter · Physics 2009-10-28 Henk W. J. Blöte , Erik Luijten , Jouke R. Heringa

We study the four-dimensional Ising spin glass with Gaussian and bond-diluted bimodal distributed interactions via large-scale Monte Carlo simulations and show via an extensive finite-size scaling analysis that four-dimensional Ising spin…

Disordered Systems and Neural Networks · Physics 2008-06-20 Thomas Jorg , Helmut G. Katzgraber

We present results from Monte Carlo simulations to test for ultrametricity and clustering properties in spin-glass models. By using a one-dimensional Ising spin glass with random power-law interactions where the universality class of the…

Disordered Systems and Neural Networks · Physics 2009-01-26 Helmut G. Katzgraber , Alexander K. Hartmann

The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to…

Disordered Systems and Neural Networks · Physics 2024-10-30 Miguel Aguilar-Janita , Victor Martin-Mayor , Javier Moreno-Gordo , Juan Jesus Ruiz-Lorenzo

We study the coarsening dynamics of the three-dimensional random field Ising model using Monte Carlo numerical simulations. We test the dynamic scaling and super-scaling properties of global and local two-time observables. We treat in…

Disordered Systems and Neural Networks · Physics 2009-08-12 Camille Aron , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

The non-equilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with different bond distributions is investigated by means of Monte Carlo simulation. A numerical method is used to determine the critical temperature…

Disordered Systems and Neural Networks · Physics 2010-12-15 F. Roma

It is shown, by means of Monte Carlo simulation and Finite Size Scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. Campos , M. Cotallo-Aban , V. Martin-Mayor , S. Perez-Gaviro , A. Tarancon

Continuous phase transitions are catalogued into universality classes, families of systems having identical values of all the exponents governing the critical behaviour of their different physical properties. Numerical simulations have been…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. O. Mari , I. A. Campbell

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

We study the 3D Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Using an iterative extrapolation…

Disordered Systems and Neural Networks · Physics 2007-05-23 Matteo Palassini , Sergio Caracciolo

We study the link overlap between two replicas of an Ising spin glass in three dimensions using the Migdal-Kadanoff approximation and scaling arguments based on the droplet picture. For moderate system sizes, the distribution of the link…

Disordered Systems and Neural Networks · Physics 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore , A. J. Bray

We have studied the Parisi overlap distribution for the three dimensional Ising spin glass in the Migdal-Kadanoff approximation. For temperatures T around 0.7Tc and system sizes upto L=32, we found a P(q) as expected for the full Parisi…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. A. Moore , Hemant Bokil , Barbara Drossel

Spin-glass and chiral-glass orderings of a three-dimensional isotropic Heisenberg spin glass are studied both by equilibrium and off-equilibrium Monte Carlo simulations with emphasis on their dynamical aspects. The model is found to exhibit…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Kawamura , K. Hukushima

The nature of the ordering of the three-dimensional isotropic Heisenberg spin glass with nearest-neighbor random Gaussian coupling is studied by extensive Monte Carlo simulations. Several independent physical quantities are measured both…

Disordered Systems and Neural Networks · Physics 2013-05-29 Dao Xuan Viet , Hikaru Kawamura

We study the three-spin model and the Ising spin glass in a field using Migdal-Kadanoff approximation. The flows of the couplings and fields indicate no phase transition, but they show even for the three-spin model a slow crossover to the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore

We present a finite size scaling analysis of Monte Carlo simulation results on a four dimensional Ising spin glass. We study chaos with both coupling and temperature perturbations, and find the same chaos exponent in each case. Chaos is…

Disordered Systems and Neural Networks · Physics 2009-10-30 Muriel Ney-Nifle

Using Monte Carlo simulations (MCS) and the Migdal-Kadanoff approximation (MKA), Marinari et al. study in their comment on our paper the link overlap between two replicas of a three-dimensional Ising spin glass in the presence of a coupling…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Bokil , A. J. Bray , B. Drossel , M. A. Moore

While in the fully-connected limit the solution of the spin-glass model is known, with the existence of a complex transition on a critical line in the temperature-external field phase diagram, in finite dimensions we don't know if a…

Disordered Systems and Neural Networks · Physics 2023-02-13 Maria Chiara Angelini
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