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Related papers: Dynamic scaling in spin glasses

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Experiments on spin glasses can now make precise measurements of the exponent $z(T)$ governing the growth of glassy domains, while our computational capabilities allow us to make quantitative predictions for experimental scales. However,…

We analyse, using Inhomogenous Mode-Coupling Theory, the critical scaling behaviour of the dynamical susceptibility at a distance epsilon from continuous second-order glass transitions. We find that the dynamical correlation length xi…

Disordered Systems and Neural Networks · Physics 2014-12-17 Saroj Kumar Nandi , Giulio Biroli , Jean-Philippe Bouchaud , Kunimasa Miyazaki , David R. Reichman

The growth of the spin-glass correlation length has been measured as a function of the waiting time $t_{\mathrm{w}}$ on a single crystal of CuMn (6 at.\%), reaching values $\xi\sim 150$ nm, larger than any other glassy correlation-length…

Disordered Systems and Neural Networks · Physics 2020-02-19 Q. Zhai , V. Martin-Mayor , D. L. Schlagel , G. G. Kenning , R. L. Orbach

Event correlation between aftershocks in the coherent noise model is studied by making use of natural time, which has recently been introduced in complex time-series analysis. It is found that the aging phenomenon and the associated scaling…

Statistical Mechanics · Physics 2009-11-10 Ugur Tirnakli , Sumiyoshi Abe

We introduce a diluted version of the one dimensional spin-glass model with interactions decaying in probability as an inverse power of the distance. In this model varying the power corresponds to change the dimension in short-range models.…

Disordered Systems and Neural Networks · Physics 2009-11-13 L. Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

The ordering of the one-dimensional Heisenberg spin glass interacting via the long-range power-law interaction is studied by Monte Carlo simulations. Particular attention is paid to the possible occurrence of the ``spin-chirality…

Disordered Systems and Neural Networks · Physics 2015-06-25 Akihiro Matsuda , Mitsuru Nakamura , Hikaru Kawamura

We extend the standard droplet scaling theory for isothermal aging in spin glasses assuming that the effective stiffness constant of droplets as large as extended defects is vanishingly small. A novel dynamical order parameter and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hajime Yoshino , Koji Hukushima , Hajime Takayama

We study a large-$N$ bosonic quantum mechanical sigma-model with a spherical target space subject to disordered interactions, more colloquially known as the $p$-spin spherical model. Replica symmetry is broken at low temperatures and for…

High Energy Physics - Theory · Physics 2021-11-04 Tarek Anous , Felix M. Haehl

The spin glass behavior near zero temperature is a complicated matter. To get an easier access to the spin glass order parameter $Q(x)$ and, at the same time, keep track of $Q_{ab}$, its matrix aspect, and hence of the Hessian controlling…

Disordered Systems and Neural Networks · Physics 2015-05-14 A. Crisanti , C. De Dominicis , T. Sarlat

We study the Ising spin glass model on scale-free networks generated by the static model using the replica method. Based on the replica-symmetric solution, we derive the phase diagram consisting of the paramagnetic (P), ferromagnetic (F),…

Statistical Mechanics · Physics 2009-11-11 D. -H. Kim , G. J. Rodgers , B. Kahng , D. Kim

A detailed analysis of Monte Carlo data on the two-dimensional Ising spin glass with bimodal interactions shows that the free energy of the model has a nontrivial scaling. In particular, we show by studying the correlation length that much…

Disordered Systems and Neural Networks · Physics 2009-09-29 Helmut G. Katzgraber , L. W. Lee , I. A. Campbell

We study numerically the nonequilibrium dynamics of the three-dimensional Heisenberg Edwards-Anderson spin glass submitted to protocols during which temperature is shifted or cycled within the spin glass phase. We show that (partial)…

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

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

Nonequilibrium dynamics of the $\pm J$ Ising, the {\it XY}, and the Heisenberg spin-glass models are investigated in three dimensions. A nonequilibrium dynamic exponent is calculated from the dynamic correlation length. The spin-glass…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tota Nakamura

Based on \cite{H}, it is well known that the rescaled two point correlation functions \[ \sqrt{N} \langle \sigma_i ; \sigma_j\rangle = \sqrt{N} \big( \langle \sigma_i \sigma_j\rangle -\langle \sigma_i\rangle \langle \sigma_j\rangle\big) \]…

Probability · Mathematics 2024-05-01 Christian Brennecke , Adrien Schertzer , Chen Van Dam

We perform large scale simulations of the frustrated Ising lattice gas, a three-dimensional lattice model of a structural glass, using the parallel tempering technique. We evaluate the spin and density overlap distributions, and the…

Statistical Mechanics · Physics 2009-11-07 A. de Candia , A. Coniglio

We develop a new method to probe the local spin dynamic autocorrelation function, using magnetic field dependent muon depolarization measurements. We apply this method to muSR experiments in the dilute Heisenberg spin glass AgMn(p at. %) at…

Strongly Correlated Electrons · Physics 2009-11-07 Amit Keren , Galina Bazalitsky , Ian Campbell , James S. Lord

We first review, following our earlier studies, the critical behavior of the quantum Sherrington-Kirkpatrick (SK) model at finite as well as at zero temperatures. Through the analysis of the Binder cumulant we determined the entire phase…

Statistical Mechanics · Physics 2019-03-08 Sudip Mukherjee , Bikas K Chakrabarti

In this paper we investigate the superspin glass behavior of a concentrated assembly of interacting maghemite nanoparticles and compare it to that of canonical atomic spin glass systems. ac versus temperature and frequency measurements show…

Disordered Systems and Neural Networks · Physics 2008-04-15 D. Parker , V. Dupuis , F. Ladieu , J. -P. Bouchaud , E. Dubois , R. Perzynski , Eric Vincent

The microscopic dependence of glassy equilibration on sample history, both the initial configuration and the specific sequence of random noise, is examined. The temporal evolution of spin configurations in a two-dimensional Ising spin glass…

Disordered Systems and Neural Networks · Physics 2018-08-23 Jie Yang , A. Alan Middleton