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Large numbers of ground states of two-dimensional Ising spin glasses with periodic boundary conditions in both directions are calculated for sizes up to 40^2. A combination of a genetic algorithm and Cluster-Exact Approximation is used. For…

无序系统与神经网络 · 物理学 2009-10-31 Alexander K. Hartmann

We introduce an exact algorithm for the computation of spin correlation functions for the two dimensional +/-J Ising spin glass in the ground state. Unlike with the transfer matrix method, there is no particular restriction on the shape of…

无序系统与神经网络 · 物理学 2007-05-23 J. Poulter , J. A. Blackman

For a very general class of probability distributions in disordered Ising spin systems, in the thermodynamical limit, we prove the following property for overlaps among real replicas. Consider the overlaps among s replicas. Add one replica…

无序系统与神经网络 · 物理学 2009-10-31 Stefano Ghirlanda , Francesco Guerra

In this paper I will consider many of the various definitions of the overlap and of its probability distribution that have been introduced in the literature starting from the original papers of Edwards and Anderson; I will present also some…

无序系统与神经网络 · 物理学 2013-10-22 Giorgio Parisi

We study the $3d$ Ising spin glass with $\pm 1$ couplings. We introduce a modified local action. We use finite size scaling techniques and very large lattice simulations. We find that our data are compatible both with a finite $T$…

凝聚态物理 · 物理学 2009-10-22 E. Marinari , G. Parisi , F. Ritort

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…

凝聚态物理 · 物理学 2009-10-22 Marco Picco , Felix Ritort

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…

无序系统与神经网络 · 物理学 2009-11-07 Hikaru Kawamura , Mai Suan Li

Scaling arguments and precise simulations are used to study the square lattice $\pm J$ Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our numerical results show, entropically-stabilized long range…

无序系统与神经网络 · 物理学 2011-07-21 Creighton K. Thomas , David A. Huse , A. Alan Middleton

Unbiased samples of ground states were generated for the short-range Ising spin glass with Jij=+/-1, in three dimensions. Clustering the ground states revealed their hierarchical structure, which is explained by correlated spin domains,…

无序系统与神经网络 · 物理学 2009-10-31 Guy Hed , Alexander K. Hartmann , Dietrich Stauffer , Eytan Domany

We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in extended disordered systems. We use this definition to…

统计力学 · 物理学 2009-02-02 Silvio Franz , T Jorg , Giorgio Parisi

Ising spin glass models with bimodal, Gaussian, uniform and Laplacian interaction distributions in dimension five are studied through detailed numerical simulations. The data are analyzed in both the finite-size scaling regime and the…

无序系统与神经网络 · 物理学 2017-01-18 P. H. Lundow , I. A. Campbell

Equilibrium numerical data on the three dimensional bimodal interaction Ising spin glass up to size L=48 show that corrections to scaling, which are known to be strong, behave in a non-monotonic manner with size. Extrapolation to the…

统计力学 · 物理学 2009-03-31 K. Hukushima , I. A. Campbell

In a statistical physics context, inverse problems consist in determining microscopic interactions such that a system reaches a predefined collective state. A complex collective state may be prescribed by specifying the overlap distribution…

统计力学 · 物理学 2024-05-15 Laura Guislain , Eric Bertin

In a recent Letter [Europhys. Lett. 40, 429 (1997)], Hartmann presented results for the structure of the degenerate ground states of the three-dimensional +/- J spin glass model obtained using a genetic algorithm. In this Comment, I argue…

无序系统与神经网络 · 物理学 2009-10-31 A. W. Sandvik

We study the properties of fluctuation for the free energies and internal energies of two spin glass systems that differ for having some set of interactions flipped. We show that their difference has a variance that grows like the volume of…

数学物理 · 物理学 2009-11-13 Pierluigi Contucci , Cristian Giardina , Claudio Giberti

We compute and analyze couples of ground states of 3D spin glass systems with the same quenched noise but periodic and anti-periodic boundary conditions for different lattice sizes. We discuss the possible different behaviors of the system,…

无序系统与神经网络 · 物理学 2009-10-31 Enzo Marinari , Giorgio Parisi

Using Monte Carlo simulations, we study the character of the spin-glass (SG) state of a site-diluted dipolar Ising model. We consider systems of dipoles randomly placed on a fraction x of all L^3 sites of a simple cubic lattice that point…

统计力学 · 物理学 2015-03-13 Juan J. Alonso

We study the sample-to-sample fluctuations of the overlap probability densities from large-scale equilibrium simulations of the three-dimensional Edwards-Anderson spin glass below the critical temperature. Ultrametricity, Stochastic…

In order to overcome the limitations of small system sizes in spin-glass simulations, we investigate the one-dimensional Ising spin chain with power-law interactions. The model has the advantage over traditional higher-dimensional…

无序系统与神经网络 · 物理学 2009-11-11 Helmut G. Katzgraber , Mathias Koerner , Frauke Liers , A. K. Hartmann

We present results of recent high-statistics Monte Carlo simulations of the Edwards-Anderson Ising spin-glass model in three and four dimensions. The study is based on a non-Boltzmann sampling technique, the multi-overlap algorithm which is…

无序系统与神经网络 · 物理学 2007-05-23 Wolfhard Janke , Bernd A. Berg , Alain Billoire