scholarly journals Performance of Wang–Landau algorithm in continuous spin models and a case study: Modified XY-model

2009 ◽  
Vol 373 (3) ◽  
pp. 308-314 ◽  
Author(s):  
Suman Sinha ◽  
Soumen Kumar Roy
Keyword(s):  
Xy Model ◽  
Continuous Spin ◽  
Spin Models

PARALLEL ACCELERATION ALGORITHM FOR SPIN MODELS

1992 ◽  
Vol 03 (04) ◽  
pp. 605-610 ◽  
Author(s):  
G.V. BHANOT ◽  
S.L. ADLER
Keyword(s):  
Massively Parallel ◽  
Xy Model ◽  
Spin Models ◽  
Cluster Algorithms ◽  
Multi Scale ◽  
Connection Machine ◽  
Parallel Supercomputer ◽  
Parallel Acceleration

We describe and implement a multi-scale acceleration algorithm for spin models on a massively parallel supercomputer, the Connection Machine CM-200. Unlike usual cluster algorithms, our algorithm is completely parallelizable. The time to update all variables in a system of volume Ld scales as Ld log 2L. We prove this by computing the time for one lattice sweep for the 2-d XY model for our algorithm on lattices of size up to 2048×2048.

scholarly journals Continuous spin models on annealed generalized random graphs

2017 ◽  
Vol 127 (11) ◽  
pp. 3719-3753 ◽  
Author(s):  
S. Dommers ◽  
C. Külske ◽  
P. Schriever
Keyword(s):  
Random Graphs ◽  
Continuous Spin ◽  
Spin Models

scholarly journals Event-chain Monte Carlo for classical continuous spin models

2015 ◽  
Vol 112 (2) ◽  
pp. 20003 ◽  
Author(s):  
Manon Michel ◽  
Johannes Mayer ◽  
Werner Krauth
Keyword(s):  
Monte Carlo ◽  
Continuous Spin ◽  
Spin Models

scholarly journals APPLICATION OF THE PROJECTED DYNAMICS METHOD TO AN ANISOTROPIC HEISENBERG MODEL

1999 ◽  
Vol 10 (08) ◽  
pp. 1503-1512 ◽  
Author(s):  
S. J. MITCHELL ◽  
M. A. NOVOTNY ◽  
JOSÉ D. MUÑOZ
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Spin System ◽  
Heisenberg Model ◽  
Continuous Spin ◽  
Spin Models ◽  
Small Systems ◽  
Metastable Decay ◽  
Ferromagnetic Interactions ◽  
Dynamics Method

The Projected Dynamics method was originally developed to study metastable decay in ferromagnetic discrete spin models. Here, we apply it to a classical, continuous Heisenberg model with anisotropic ferromagnetic interactions, which evolves under a Monte Carlo dynamic. The anisotropy is sufficiently large to allow comparison with the Ising model. We describe the Projected Dynamics method and how to apply it to this continuous-spin system. We also discuss how to extract metastable lifetimes and how to extrapolate from small systems to larger systems.

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