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We report large-scale simulations of the three-dimensional Edwards-Anderson Ising spin glass system using the recently introduced multi-overlap Monte Carlo algorithm. In this approach the temperature is fixed and two replica are coupled…

无序系统与神经网络 · 物理学 2017-09-27 Wolfhard Janke , Bernd A. Berg , Alain Billoire

Following numerous earlier studies, extensive simulations and analyses were made on the continuous interaction distribution Gaussian model and the discrete bimodal interaction distribution Ising Spin Glass (ISG) models in dimension two…

无序系统与神经网络 · 物理学 2017-04-12 P. H. Lundow , I. A. Campbell

In addition to the standard scaling rules relating critical exponents at second order transitions, hyperscaling rules involve the dimension of the model. It is well known that in canonical Ising models hyperscaling rules are modified above…

无序系统与神经网络 · 物理学 2019-10-10 P. H. Lundow , I. A. Campbell

Dynamical linked cluster expansions are linked cluster expansions with hopping parameter terms endowed with their own dynamics. This amounts to a generalization from 2-point to point-link-point interactions. An associated graph theory with…

凝聚态物理 · 物理学 2007-05-23 H. Meyer-Ortmanns , T. Reisz

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…

无序系统与神经网络 · 物理学 2015-06-25 Yukinori Tonosaki , Koujin Takeda , Yoshiyuki Kabashima

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…

We study the geometrical structure of the states in the low temperature phase of a mean field model for generalized spin glasses, the p-spin spherical model. This structure cannot be revealed by the standard methods, mainly due to the…

无序系统与神经网络 · 物理学 2009-10-30 Andrea Cavagna , Irene Giardina , Giorgio Parisi

The non-equilibrium ageing behaviour of the 3D and 4D critical Ising spin glass is studied for both binary and gaussian disorder. The same phenomenology of the time-dependent scaling as in non-disordered magnets is found but the…

统计力学 · 物理学 2007-05-23 Malte Henkel , Michel Pleimling

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…

无序系统与神经网络 · 物理学 2009-01-26 Helmut G. Katzgraber , Alexander K. Hartmann

In this Comment, we argue that the behavior of the overlap functions reported in the commented paper can be fully understood in terms of the physics of simple liquids in contact with disordered substrates, without appealing to any…

无序系统与神经网络 · 物理学 2016-06-16 Vincent Krakoviack

This paper investigates p-spin distributions for a generic spherical p-spin model; we give a representation of spin distributions in terms of a stochastic process. In order to do this, we find a novel double limit scheme that allows us to…

概率论 · 数学 2019-07-10 Arka Adhikari

In classical finite-range spin systems, especially those with disorder such as spin glasses, a low-temperature Gibbs state may be a mixture of a number of pure or ordered states; the complexity of the Gibbs state has been defined in the…

统计力学 · 物理学 2022-06-08 N. Read

We study the distribution of overlaps of glassy minima, taking proper care of residual symmetries of the system. Ensembles of locally stable, low lying glassy states are efficiently generated by rapid cooling from the liquid phase which has…

软凝聚态物质 · 物理学 2009-10-31 K. K. Bhattacharya , K. Broderix , R. Kree , A. Zippelius

We investigate the low temperature phase of three-dimensional Edwards-Anderson model with Bernoulli random couplings. We show that at a fixed value $Q$ of the overlap the model fulfills the clustering property: the connected correlation…

无序系统与神经网络 · 物理学 2013-05-29 Pierluigi Contucci , Cristian Giardina , Claudio Giberti , Giorgio Parisi , Cecilia Vernia

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

统计力学 · 物理学 2016-02-10 Robert L. Jack , Juan P. Garrahan

A linear-time algorithm is presented for the construction of the Gibbs distribution of configurations in the Ising model, on a quantum computer. The algorithm is designed so that each run provides one configuration with a quantum…

量子物理 · 物理学 2009-10-30 Daniel A. Lidar , Ofer Biham

We study the probability distribution $Q(n,t)$ of $n(t)$, the fraction of spins unflipped till time $t$, in a Ising chain with ferromagnetic interactions. The distribution shows a peak at $n=n_{max}$ and in general is non-Gaussian and…

统计力学 · 物理学 2009-11-10 Pratap Kumar Das , Parongama Sen

The effects of random magnetic fields are considered in an Ising spin-glass model defined in the limit of infinite-range interactions. The probability distribution for the random magnetic fields is a double Gaussian, which consists of two…

统计力学 · 物理学 2009-11-13 N. Crokidakis , F. D. Nobre

We investigate scenarios in which the low-temperature phase of short-range spin glasses comprises thermodynamic states which are nontrivial mixtures of multiple incongruent pure state pairs. We construct a new kind of metastate supported on…

无序系统与神经网络 · 物理学 2024-03-05 C. M. Newman , D. L. Stein

The relative importance of the contributions of droplet excitations and domain walls on the ordering of short-range Edwards-Anderson spin glasses in three and four dimensions is studied. We compare the overlap distributions of periodic and…

无序系统与神经网络 · 物理学 2017-04-05 Wenlong Wang