Monte Carlo studies of universal critical amplitudes for the three-dimensional Ising model: Correlation length and renormalized coupling

1989 ◽  
Vol 40 (16) ◽  
pp. 11120-11122 ◽  
Author(s):  
Pik-Yin Lai ◽  
K. K. Mon
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Correlation Length ◽  
Three Dimensional ◽  
Monte Carlo Studies ◽  
Critical Amplitudes ◽  
Model Correlation

MONTE CARLO STUDIES OF THE THREE-DIMENSIONAL ISING MODEL IN EQUILIBRIUM

2001 ◽  
Vol 12 (07) ◽  
pp. 911-1009 ◽  
Author(s):  
MARTIN HASENBUSCH
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Three Dimensional ◽  
Finite Size ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Amplitude Ratios ◽  
Interface Tension ◽  
Monte Carlo Studies

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.

Monte Carlo studies on electromagnetic cascades in extensive air showers

1968 ◽  
Vol 46 (10) ◽  
pp. S189-S196 ◽  
Author(s):  
K. O. Thielheim ◽  
E. K. Schlegel ◽  
R. Beiersdorf
Keyword(s):  
Monte Carlo ◽  
Electron Density ◽  
Three Dimensional ◽  
High Energy ◽  
Extensive Air Showers ◽  
Air Showers ◽  
Energy Distributions ◽  
The Core ◽  
Fragmentation Mechanisms ◽  
Monte Carlo Studies

Three-dimensional Monte Carlo calculations have been performed on the trajectories of high-energy hadrons in extensive air showers. The central electron density and gradient of distribution are obtained for individual electromagnetic cascades together with coordinates at the level of observation. Various assumptions concerning primary mass number and energy, distributions of strong interaction parameters, and fragmentation mechanisms are discussed with respect to the production of steep maxima of electron density by single electromagnetic cascades in the core region of extensive air showers.

Monte Carlo Renormalization of the Three-Dimensional Ising Model: The Influence of Truncation

1989 ◽  
Vol 10 (2) ◽  
pp. 105-109 ◽  
Author(s):  
H. W. J Blöte ◽  
J. A. de Bruin ◽  
A Compagner ◽  
J. H Croockewit ◽  
Y. T. J. C Fonk ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Three Dimensional
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