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Related papers: Stability in microcanonical many-body spin glasses

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We introduce a spin-1 version of the random energy model with crystal field. Crystal field controls the density of 0 spins in the system. We solve the model in the micro-canonincal ensemble. The model has a spin-glass transition at a finite…

Disordered Systems and Neural Networks · Physics 2024-11-05 Sumedha , Matteo Marsili

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 examine the phase diagram of the $p$-interaction spin glass model in a transverse field. We consider a spherical version of the model and compare with results obtained in the Ising case. The analysis of the spherical model, with and…

Disordered Systems and Neural Networks · Physics 2015-06-25 Theo M. Nieuwenhuizen , Felix Ritort

The distribution of solutions of the Thouless-Anderson-Palmer equation is studied by extensive numerical experiments for fully connected 3-body interaction Ising spin glass models in a level of annealed calculation. A recent study predicted…

Disordered Systems and Neural Networks · Physics 2015-06-25 Yukinori Tonosaki , Koujin Takeda , Yoshiyuki Kabashima

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

We test for the presence or absence of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg spin glass model, in which the rms strength of the interactions decays with distance, r as 1/r^{sigma}. It is argued that…

Disordered Systems and Neural Networks · Physics 2013-05-29 Auditya Sharma , A. P. Young

We discuss the slow, nonequilibrium, dynamics of spin glasses in their glassy phase. We briefly review the present theoretical understanding of the spectacular phenomena observed in experiments and describe new numerical results obtained in…

Disordered Systems and Neural Networks · Physics 2009-11-10 Ludovic Berthier , A. P. Young

In this work a short overview of the development of spin glass theories, mainly long and short range Ising models, are presented.

Condensed Matter · Physics 2007-05-23 J. R. L. de Almeida , S. Coutinho

We investigate an XY spin-glass model in which both spins and couplings evolve in time: the spins change rapidly according to Glauber-type rules, whereas the couplings evolve slowly with a dynamics involving spin correlations and Gaussian…

Disordered Systems and Neural Networks · Physics 2009-10-31 G. Jongen , D. Bolle , A. C. C. Coolen

We recently showed that the two-dimensional Ising spin glass allows for a line of renormalization group fixed points which explains properties observed in numerical studies. We observe that this exact result corresponds to enhancement to a…

Statistical Mechanics · Physics 2026-04-15 Gesualdo Delfino

In this work we address the nature of broken ergodicity in the low temperature phase of Ising spin glasses by examining spectral properties of spin correlation functions $C_{ij}\equiv< S_i S_j>$. We argue that more than one extensive (i.e.,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jairo Sinova , Geoff Canright , A. H. MacDonald

This review presents various aspects of a mean-field spin glass model known as the p-spin spherical spin glass model, which has raised a lot of interest in the study of spin glasses, and also for its possible links with a mean-field theory…

Disordered Systems and Neural Networks · Physics 2008-02-03 A. Barrat

We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r=2 there is a continuous transition to a ferromagnetic phase, while for r>2 the transition is first…

Disordered Systems and Neural Networks · Physics 2009-11-07 Peter Gillin , Hidetoshi Nishimori , David Sherrington

We studied the performance of the multicanonical algorithm by simulating the van Hemmen spin glass model and reproduced the exact results for this mean field model. Physical quantities such as energy density, specific heat, susceptibility…

Condensed Matter · Physics 2007-05-23 Mohammad Katoot , Ulrich H. E. Hansmann , Tarik Celik

This paper is divided into two parts. The first part concerns several standard scenarios for how short-range spin glasses might behave at low temperature. Earlier theorems of the authors are reviewed, and some new results presented,…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. M. Newman , D. L. Stein

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 scaling of the magnetic field dependence of the remanent magnetization for different temperatures and different spin-glass samples is studied. Particular attention is paid to the effect of the de Almeida-Thouless (AT) critical line on…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. S. Zotev , R. Orbach

We introduce and study a model which admits a complex landscape without containing quenched disorder. Continuing our previous investigation we introduce a disordered model which allows us to reconstruct all the main features of the original…

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

We provide strong evidence that the effective spin-spin interaction in a multimodal confocal optical cavity gives rise to a self-induced glassy phase, which emerges exclusively from the peculiar euclidean correlations and is not related to…

Statistical Mechanics · Physics 2021-05-12 Vittorio Erba , Mauro Pastore , Pietro Rotondo

We investigate the phase diagram of a spin--1 Ising spin-glass model on a Cayley tree. According to early work of Thompson and collaborators, this problem can be formulated in terms of a set of nonlinear discrete recursion relations along…

Statistical Mechanics · Physics 2014-01-17 F. A. da Costa , J. M. de Araujo , S. R. Salinas
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