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The question of the number of thermodynamic states present in the low-temperature phase of the three-dimensional Edwards-Anderson Ising spin glass is addressed by studying spin and link overlap distributions using population annealing Monte…

无序系统与神经网络 · 物理学 2017-11-22 Wenlong Wang , Jonathan Machta , Humberto Munoz-Bauza , Helmut G. Katzgraber

A theoretical description of the low-temperature phase of short-range spin glasses has remained elusive for decades. In particular, it is unclear if theories that assert a single pair of pure states, or theories that are based infinitely…

无序系统与神经网络 · 物理学 2014-11-14 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

We present a large-scale simulation of the three-dimensional Ising spin glass with Gaussian disorder to low temperatures and large sizes using optimized population annealing Monte Carlo. Our primary focus is investigating the number of pure…

无序系统与神经网络 · 物理学 2021-01-20 Wenlong Wang , Mats Wallin , Jack Lidmar

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

We discuss the status of Monte Carlo simulations of (mainly finite dimensional) spin glass systems. After a short historical note and a brief theoretical introduction we start by discussing the (crucial) 3D case: the warm phase, the…

无序系统与神经网络 · 物理学 2016-08-31 Enzo Marinari , Giorgio Parisi , Juan Ruiz-Lorenzo

We study the three-spin model and the Ising spin glass in a field using Migdal-Kadanoff approximation. The flows of the couplings and fields indicate no phase transition, but they show even for the three-spin model a slow crossover to the…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore

We report a Monte Carlo simulation of the $2D$ Edwards-Anderson spin glass model within the recently introduced multicanonical ensemble. Replica on lattices of size $L^2$ up to $L=48$ are investigated. Once a true groundstate is found, we…

高能物理 - 格点 · 物理学 2015-06-25 B. A. Berg , T. Celik

We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By…

无序系统与神经网络 · 物理学 2010-02-18 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young

Population Monte Carlo simulations in the form commonly referred to as population annealing can serve as a useful meta-algorithm for simulating systems with complex free-energy landscapes. In the present paper we provide an easily…

统计力学 · 物理学 2024-01-17 P. L. Ebert , D. Gessert , W. Janke , M. Weigel

Here I will review the theoretical results that have been obtained for spin glasses. I will concentrate my attention on the predictions of the mean field approach in three dimensional systems and on its numerical and experimental…

无序系统与神经网络 · 物理学 2009-11-13 Giorgio Parisi

Estimating the density of states of systems with rugged free energy landscapes is a notoriously difficult task of the utmost importance in many areas of physics ranging from spin glasses to biopolymers. Density of states estimation has also…

统计力学 · 物理学 2019-07-31 Lev Barash , Jeffrey Marshall , Martin Weigel , Itay Hen

Some questions concerning the calculation of the number of ``physical'' (metastable) states or complexity of the spherical $p$-spin spin glass model are reviewed and examined further. Particular attention is focused on the general…

无序系统与神经网络 · 物理学 2009-11-10 A. Crisanti , L. Leuzzi , T. Rizzo

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

Population annealing is a Monte Carlo algorithm that marries features from simulated annealing and parallel tempering Monte Carlo. As such, it is ideal to overcome large energy barriers in the free-energy landscape while minimizing a…

无序系统与神经网络 · 物理学 2015-07-08 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

The aim of this work is to prove that it is possible to realise an optical system which produces as output a light intensity that can be expressed in the same mathematical form of the spin glass Hamiltonian. The optical system under study…

无序系统与神经网络 · 物理学 2020-10-27 Erik Hörmann

We discuss an Ising spin glass where each $S=1/2$ spin is coupled antiferromagnetically to three other spins (3-regular graphs). Inducing quantum fluctuations by a time-dependent transverse field, we use out-of-equilibrium quantum Monte…

量子物理 · 物理学 2015-04-14 Cheng-Wei Liu , Anatoli Polkovnikov , Anders W. Sandvik

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

A continuous-time projection quantum Monte Carlo algorithm is employed to simulate the ground state of a short-range quantum spin-glass model, namely, the two-dimensional Edwards-Anderson Hamiltonian with transverse field, featuring…

无序系统与神经网络 · 物理学 2024-12-24 L. Brodoloni , S. Pilati

We perform Monte Carlo simulations of the Ising spin glass at low temperature in three dimensions with a +/-J distribution of couplings. Our results display crossover scaling between T=0 behavior, where the order parameter distribution P(q)…

无序系统与神经网络 · 物理学 2009-10-31 Matteo Palassini , A. P. Young

We have studied the Parisi overlap distribution for the three dimensional Ising spin glass in the Migdal-Kadanoff approximation. For temperatures T around 0.7Tc and system sizes upto L=32, we found a P(q) as expected for the full Parisi…

无序系统与神经网络 · 物理学 2009-10-31 M. A. Moore , Hemant Bokil , Barbara Drossel
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