scholarly journals A cluster Monte Carlo algorithm for 2-dimensional spin glasses

2001 ◽  
Vol 22 (4) ◽  
pp. 479-484 ◽  
Author(s):  
J. Houdayer
Keyword(s):  
Monte Carlo ◽  
Spin Glasses ◽  
Monte Carlo Algorithm ◽  
Cluster Monte Carlo

scholarly journals From Atomic Level to Large-Scale Monte Carlo Magnetic Simulations

Materials ◽  
2020 ◽  
Vol 13 (17) ◽  
pp. 3696
Author(s):  
Artur Chrobak ◽  
Grzegorz Ziółkowski ◽  
Dariusz Chrobak ◽  
Grażyna Chełkowska
Keyword(s):  
Monte Carlo ◽  
Large Scale ◽  
Atomic Level ◽  
Monte Carlo Algorithm ◽  
Magnetic Interactions ◽  
First Principle ◽  
Large Scale Systems ◽  
System Nodes ◽  
Cluster Monte Carlo ◽  
New Magnetic Materials

This paper refers to Monte Carlo magnetic simulations for large-scale systems. We propose scaling rules to facilitate analysis of mesoscopic objects using a relatively small amount of system nodes. In our model, each node represents a volume defined by an enlargement factor. As a consequence of this approach, the parameters describing magnetic interactions on the atomic level should also be re-scaled, taking into account the detailed thermodynamic balance as well as energetic equivalence between the real and re-scaled systems. Accuracy and efficiency of the model have been depicted through analysis of the size effects of magnetic moment configuration for various characteristic objects. As shown, the proposed scaling rules, applied to the disorder-based cluster Monte Carlo algorithm, can be considered suitable tools for designing new magnetic materials and a way to include low-level or first principle calculations in finite element Monte Carlo magnetic simulations.

Disorder-based cluster Monte Carlo algorithm and its application in simulations of magnetization processes

2019 ◽  
Vol 238 ◽  
pp. 157-164 ◽  
Author(s):  
Artur Chrobak ◽  
Grzegorz Ziółkowski ◽  
Krzysztof Granek ◽  
Dariusz Chrobak
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Algorithm ◽  
Cluster Monte Carlo ◽  
Magnetization Processes

A Zero-Temperature Quantum Monte Carlo Algorithm and Quantum Spin Glasses

2010 ◽  
Vol 12 (1) ◽  
pp. 64-72 ◽  
Author(s):  
Arnab Das ◽  
Anjan K. Chandra ◽  
Bikas K. Chakrabarti
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Spin Glasses ◽  
Quantum Spin ◽  
Monte Carlo Algorithm ◽  
Zero Temperature

scholarly journals Statistical mechanics of histories: A cluster Monte Carlo algorithm

2006 ◽  
Vol 73 (2) ◽  
Author(s):  
Natali Gulbahce ◽  
Francis J. Alexander ◽  
Gregory Johnson
Keyword(s):  
Monte Carlo ◽  
Statistical Mechanics ◽  
Monte Carlo Algorithm ◽  
Cluster Monte Carlo

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.

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