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Related papers: 4D Spin Glasses in Magnetic Field Have a Mean Fiel…

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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 present numerical results that allow a precise determination of the transition point and of the critical exponents of the 4D Edwards-Anderson Spin Glass with binary quenched random couplings. We show that the low T phase undergoes…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Marinari , F. Zuliani

Spin glasses are a longstanding model for the sluggish dynamics that appears at the glass transition. However, spin glasses differ from structural glasses for a crucial feature: they enjoy a time reversal symmetry. This symmetry can be…

Ground states of the three dimensional Edwards-Anderson spin glass are computed in the presence of an external magnetic field. Our algorithm is sufficiently powerful for us to treat systems with up to 600 spins. We perform a statistical…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Houdayer , O. C. Martin

We study the four dimensional Gaussian spin glass in presence of a magnetic field. Using off-equilibrium numerical simulations we have found that the probability distribution of the overlaps is built in the same way as that of the Mean…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

We discuss a phase transition in spin glass models which have been rarely considered in the past, namely the phase transition that may take place when two real replicas are forced to be at a larger distance (i.e. at a smaller overlap) than…

Disordered Systems and Neural Networks · Physics 2020-02-27 Maddalena Dilucca , Luca Leuzzi , Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

Using ground state computations, we study the transition from a spin glass to a ferromagnet in 3-d spin glasses when changing the mean value of the spin-spin interaction. We find good evidence for replica symmetry breaking up till the…

Disordered Systems and Neural Networks · Physics 2009-11-07 F. Krzakala , O. C. Martin

We study the three-dimensional system of magnetic nanoparticle dipoles randomly oriented along quenched easy axes. Directions of the magnetic momenta are described by the Ising variables which allow the momenta to flip along their random…

Disordered Systems and Neural Networks · Physics 2010-09-17 Victor Dotsenko

We characterize numerically the properties of the phase transition of the three dimensional Ising spin glass with Gaussian couplings and of the low temperature phase. We compute critical exponents on large lattices. We study in detail the…

Statistical Mechanics · Physics 2009-10-31 E. Marinari , G. Parisi , J. J. Ruiz-Lorenzo

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

In ref. cond-mat/9811419 Houdayer and Martin analyze the T=0 3d EA spin glass with a magnetic field $B$. By using a new, powerful method, they determine an effective critical field $B_c$ as a function of the lattice size $L$. They use their…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Marinari , G. Parisi , F. Zuliani

In this paper we propose a simple mean-field "toy" model for the liquid-glass phase transition. This is the system of $N$ point-like particles confined in a finite volume of a $D$-dimensional space interacting via infinite-range oscillating…

Disordered Systems and Neural Networks · Physics 2007-05-23 Victor Dotsenko

By using renormalization-group (RG) methods, we study a non-mean-field model of a spin glass built on a hierarchical lattice, the hierarchical Edwards-Anderson model in a magnetic field. We investigate the spin-glass transition in a field…

Disordered Systems and Neural Networks · Physics 2015-03-03 Michele Castellana , Carlo Barbieri

We study the off-equilibrium dynamics of the three-dimensional Ising spin glass in the presence of an external magnetic field. We have performed simulations both at fixed temperature and with an annealing protocol. Thanks to the Janus…

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

We present a mean field model for spin glasses with a natural notion of distance built in, namely, the Edwards-Anderson model on the diluted D-dimensional unit hypercube in the limit of large D. We show that finite D effects are strongly…

Disordered Systems and Neural Networks · Physics 2010-05-12 L. A. Fernandez , V. Martin-Mayor , G. Parisi , B. Seoane

We show that in mean-field spin glasses, a discontinuous breaking of replica symmetry at the critical inverse temperature $\beta_c$ implies the existence of an intermediate shattered phase. This confirms a prediction from physics regarding…

Probability · Mathematics 2025-06-04 Antonio Auffinger , Ahmed El Alaoui , Mark Sellke

We report the value of the dynamical critical exponent z for the six dimensional Ising spin glass, measured in three different ways: from the behavior of the energy and the susceptibility with the Monte Carlo time and by studying the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi , Paola Ranieri , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

We study the order parameter distribution P(q) in the 4d Ising spin glass with $\pm J$ couplings in a magnetic field. We also compare these results with simulations for the infinite ranged model (i.e. SK model.) Then we analyse our…

Condensed Matter · Physics 2009-10-22 Marco Picco , Felix Ritort

We study the off equilibrium dynamics of a mean field disordered systems which can be interpreted both as a long range interaction spin glass and as a particle in a random potential. The statics of this problem is well known and exhibits a…

Condensed Matter · Physics 2009-10-22 S. Franz , M. Mézard
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