Large-Scale Lattice Gas Monte Carlo Simulations for the Generalized Ising Model

2011 ◽  
Author(s):  
Tobias C. Kerscher ◽  
Stefan Müller ◽  
Quinn O. Snell ◽  
Gus L.W. Hart
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Large Scale ◽  
Lattice Gas ◽  
Generalized Ising Model

scholarly journals TESTS OF RANDOM NUMBER GENERATORS USING ISING MODEL SIMULATIONS

1996 ◽  
Vol 07 (03) ◽  
pp. 295-303 ◽  
Author(s):  
P. D. CODDINGTON
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
High Performance ◽  
Large Scale ◽  
Random Number ◽  
Random Number Generators ◽  
Lattice Monte Carlo ◽  
High Performance Computers

Large-scale Monte Carlo simulations require high-quality random number generators to ensure correct results. The contrapositive of this statement is also true — the quality of random number generators can be tested by using them in large-scale Monte Carlo simulations. We have tested many commonly-used random number generators with high precision Monte Carlo simulations of the 2-d Ising model using the Metropolis, Swendsen-Wang, and Wolff algorithms. This work is being extended to the testing of random number generators for parallel computers. The results of these tests are presented, along with recommendations for random number generators for high-performance computers, particularly for lattice Monte Carlo simulations.

The Relation Between Defects and Relaxation in Viscous Liquids

1985 ◽  
Vol 61 ◽  
Author(s):  
S. Brawer
Keyword(s):  
Computer Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Relaxation Behavior ◽  
Atomic Diffusion ◽  
Kinetic Ising Model ◽  
Viscous Liquids ◽  
First Approximation

ABSTRACTIt is shown that defects can be identified in liquids, that they are related to atomic diffusion, and a model is described whereby defects give rise to the observed relaxation behavior of viscous liquids. A review is presented of defects in silicate and fluoroberyllate liquids, as studied by computer simulation. It is found that defects have the form of overcoordinated or undercoordinated atoms, and that atomic diffusion occurs only at the site of defects. The manner in which an Ising model can represent the detect structure of viscous liquids to a first approximation is presented. The results of Monte Carlo simulations of a 2-dimensional kinetic Ising model are described. The behavior of this model is qualitatively the same as that of viscous liquids.

Large-Scale Monte Carlo Simulations for Aggregation, Self-Assembly, and Phase Equilibria

2008 ◽  
pp. 189-199
Author(s):  
Jake L. Rafferty ◽  
Ling Zhang ◽  
Nikolaj D. Zhuravlev ◽  
Kelly E. Anderson ◽  
Becky L. Eggimann ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Phase Equilibria ◽  
Monte Carlo Simulations ◽  
Self Assembly ◽  
Large Scale

Canonical and microcanonical Monte Carlo simulations of lattice-gas mixtures

2006 ◽  
Vol 125 (16) ◽  
pp. 164509 ◽  
Author(s):  
Carlos E. Fiore ◽  
Vera B. Henriques ◽  
Mario J. de Oliveira
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Lattice Gas ◽  
Gas Mixtures
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