Replica Monte Carlo Simulation of Spin-Glasses
Physical Review LettersPublished 24 November 1986
Robert H. Swendsen, Jian‐Sheng Wang
Citations2,043
SJR quartileQ1
SJR score2.86
SNIP2.41
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
A new Monte Carlo method is presented for simulations of systems with quenched random interactions, allowing the investigation of lower temperatures with less computer time than previously necessary.
Abstract
A new Monte Carlo method is presented for simulations of systems with quenched random interactions. The approach greatly reduces the long correlation times characteristic of standard methods, allowing the investigation of lower temperatures with less computer time than previously necessary.
Keywords
Materials ScienceMathematicsPhysics and Astronomy
ScienceOptimization by Simulated Annealing
44,600 Citations1983Scott Kirkpatrick, C. D. Gelatt +1 more
A detailed analogy with annealing in solids provides a framework for optimization of the properties of very large and complex systems.
Physical review. B, Solid statePercolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm
1,917 Citations1976Joseph Hoshen, R. Kopelman
Physical review. B, Condensed matterDynamics of three-dimensional Ising spin glasses in thermal equilibrium
764 Citations1985Andrew T. Ogielski
The dynamic scaling hypothesis and finite-size scaling explain well the observed temperature and size dependence of the data, and the functional form of the correlation functions is com- patible with the scaling form if corrections to scaling are taken into account.
Physical Review LettersSearch for a transition in the three-dimensional J Ising spin-glass
393 Citations1985R. N. Bhatt, A. P. Young
Physical Review LettersCritical behavior of three-dimensional Ising spin-glass model
363 Citations1985Andrew T. Ogielski, I. Morgenstern
First results of massive Monte Carlo simulations of the d=3 Ising spin-glass with ±J bond distribution, performed on a fast special purpose computer, show a qualitative change in the behavior of the system and best fits for the spin- glass correlation length and relaxation time favor equilibrium phase transition at Tc/J≊1.2.
Physical review. B, Condensed matterMagnetic correlations in two-dimensional spin-glasses
304 Citations1980I. Morgenstern, Kurt Binder
Physical Review LettersCritical Behavior of an Ising Spin-Glass
179 Citations1986Rajiv R. P. Singh, Sudip Chakravarty
Mise en evidence de transitions a temperature finie en 3D et 4D and d'une transition T=0 en 2D et d'un transition T =0 in 3D, 4D, et 2D.
Physical Review LettersStatics and Dynamics of a Two-Dimensional Ising Spin-Glass Model
112 Citations1983A. P. Young
Physical review. B, Condensed matterMonte Carlo simulation of the two-dimensional random (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>±</mml:mo><mml:mi>J</mml:mi></mml:math>) Ising model
105 Citations1983W. L. McMillan
Physical Review LettersDirect Determination of the Probability Distribution for the Spin-Glass Order Parameter
103 Citations1983A. P. Young
Physical Review LettersFirst- and Second-Order Phase Transitions in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mn/></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XY</mml:mi></mml:math>Model
53 Citations1982Robert H. Swendsen
Physical Review LettersDomain Growth in the Ising Model in a Random Magnetic Field
50 Citations1984E. T. Gawlinski, Kimmo Kaski +2 more
Journal of Physics C Solid State PhysicsRole of initial conditions in spin glass dynamics and significance of Parisi's q(x)
46 Citations1983A. Houghton, Shreyans Jain +1 more
The European Physical Journal BMonte Carlo evidence of non-equilibrium effects for ising model in a random field
35 Citations1984D. Stauffer, C. Hartzstein +2 more
Journal of Physics C Solid State PhysicsThe 2D random-field Ising model-Monte Carlo simulations
5 Citations1986N D Mackenzie
