Monte Carlo investigation of a kinetic Ising model of the glass transition

1986 ◽  
Vol 84 (6) ◽  
pp. 3351-3366 ◽  
Author(s):  
Glenn H. Fredrickson ◽  
Steven A. Brawer
1985 ◽  
Vol 61 ◽  
Author(s):  
S. Brawer

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.


1999 ◽  
Vol 10 (01) ◽  
pp. 131-134 ◽  
Author(s):  
MOOKYUNG CHEON ◽  
IKSOO CHANG ◽  
DIETRICH STAUFFER

Simulations with up to 1125 spins confirm the prediction of Chen and Dohm of three different finite-size exponents for the spontaneous magnetization near the Curie point.


1988 ◽  
Vol 37 (1) ◽  
pp. 196-208 ◽  
Author(s):  
Jacques G. Amar ◽  
Francis E. Sullivan ◽  
Raymond D. Mountain

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