Monte Carlo Investigation of Dynamic Critical Phenomena in the Two-Dimensional Kinetic Ising Model

1973 ◽  
Vol 8 (7) ◽  
pp. 3266-3289 ◽  
Author(s):  
E. Stoll ◽  
K. Binder ◽  
T. Schneider
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Critical Phenomena ◽  
Two Dimensional ◽  
Dynamic Critical Phenomena ◽  
Kinetic Ising Model ◽  
Monte Carlo Investigation

Monte Carlo study of growth in the two-dimensional spin-exchange kinetic Ising model

1988 ◽  
Vol 37 (1) ◽  
pp. 196-208 ◽  
Author(s):  
Jacques G. Amar ◽  
Francis E. Sullivan ◽  
Raymond D. Mountain
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Spin Exchange ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Kinetic Ising Model ◽  
Exchange Kinetic

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.

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