scholarly journals Universality in three-dimensional Ising spin glasses: Nonequilibrium dynamics from Monte Carlo simulations

2010 ◽  
Vol 82 (21) ◽  
Author(s):  
F. Romá
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Nonequilibrium Dynamics ◽  
Ising Spin

scholarly journals Universality in three-dimensional Ising spin glasses: A Monte Carlo study

2006 ◽  
Vol 73 (22) ◽  
Author(s):  
Helmut G. Katzgraber ◽  
Mathias Körner ◽  
A. P. Young
Keyword(s):  
Monte Carlo ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Monte Carlo Study ◽  
Ising Spin

APPLICATION OF AN EXTENDED ENSEMBLE METHOD TO SPIN GLASSES

1996 ◽  
Vol 07 (03) ◽  
pp. 337-344 ◽  
Author(s):  
KOJI HUKUSHIMA ◽  
HAJIME TAKAYAMA ◽  
KOJI NEMOTO
Keyword(s):  
Monte Carlo ◽  
Critical Temperature ◽  
Critical Exponents ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Observation Time ◽  
Monte Carlo Algorithm ◽  
Spin Glass Model ◽  
Ising Spin ◽  
Glass Model

An efficient Monte Carlo algorithm for simulating hardly-relaxing systems is proposed. By using this algorithm the three-dimensional ± J Ising spin glass model is studied. The result shows that reasonable values of the critical temperature and of the critical exponents can be obtained within Monte Carlo steps much shorter than the observation time a conventional simulation usually requires.

scholarly journals FINDING LOW-TEMPERATURE STATES WITH PARALLEL TEMPERING, SIMULATED ANNEALING AND SIMPLE MONTE CARLO

2003 ◽  
Vol 14 (03) ◽  
pp. 285-302 ◽  
Author(s):  
J. J. MORENO ◽  
HELMUT G. KATZGRABER ◽  
ALEXANDER K. HARTMANN
Keyword(s):  
Monte Carlo ◽  
Simulated Annealing ◽  
Low Temperature ◽  
Spin Glasses ◽  
Disordered Systems ◽  
Three Dimensional ◽  
Ground States ◽  
Parallel Tempering ◽  
Simulation Techniques ◽  
Ising Spin

Monte Carlo simulation techniques, like simulated annealing and parallel tempering, are often used to evaluate low-temperature properties and find ground states of disordered systems. Here we compare these methods using direct calculations of ground states for three-dimensional Ising diluted antiferromagnets in a field (DAFF) and three-dimensional Ising spin glasses (ISG). For the DAFF, we find that, with respect to obtaining ground states, parallel tempering is superior to simple Monte Carlo and to simulated annealing. However, equilibration becomes more difficult with increasing magnitude of the externally applied field. For the ISG with bimodal couplings, which exhibits a high degeneracy, we conclude that finding true ground states is easy for small systems, as is already known. But finding each of the degenerate ground states with the same probability (or frequency), as required by Boltzmann statistics, is considerably harder and becomes almost impossible for larger systems.

Monte Carlo renormalization-group study of Ising spin glasses

1988 ◽  
Vol 37 (13) ◽  
pp. 7745-7750 ◽  
Author(s):  
Jian-Sheng Wang ◽  
Robert H. Swendsen
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Spin Glasses ◽  
Ising Spin ◽  
Monte Carlo Renormalization Group

scholarly journals Clusters Formed by Dumbbell-like One-Patch Particles Confined in Thin Systems

2021 ◽  
Author(s):  
Masahide Sato
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Particle Interaction ◽  
Three Dimensional ◽  
The Other ◽  
Spherical Particles ◽  
Dimensionless Distance ◽  
Large Island ◽  
Cluster Shape

Abstract Performing isothermal-isochoric Monte Carlo simulations, I examine the types of clusters that dumbbell-like one–patch particles form in thin space between two parallel walls, assuming that each particle is synthesized through the merging of two particles, one non-attracting and the other attracting for which, for example, the inter-particle interaction is approximated by the DLVO model. The shape of these dumbbell-like particles is controlled by the ratio of the diameters q of the two spherical particles and by the dimensionless distance l between them. Using a modified Kern–Frenkel potential, I examine the dependence of the cluster shape on l and q. Large island-like clusters are created when q < 1. With increasing q, the clusters become chain-like. When q increases further, elongated clusters and regular polygonal clusters are created. In hte simulations, the cluster shape becomes three-dimensional with increasing l because the thickness of the thin system increases proportionally to l.

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