Edge critical exponent for the three-dimensional Ising model by Monte Carlo simulations

1989 ◽  
Vol 40 (4) ◽  
pp. 2419-2420 ◽  
Author(s):  
K. K. Mon ◽  
J. L. Vallés
2001 ◽  
Vol 12 (07) ◽  
pp. 911-1009 ◽  
Author(s):  
MARTIN HASENBUSCH

We review Monte Carlo simulations of the Ising model and similar models in three dimensions that were performed in the last decade. Only recently, Monte Carlo simulations provide more accurate results for critical exponents than field theoretic methods, such as the ∊-expansion. These results were obtained with finite size scaling and "improved actions". In addition, we summarize Monte Carlo results for universal amplitude ratios, the interface tension, and the dimensional crossover from three to two dimensions.


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