Stability of the tricritical point in a three-dimensional next-nearest-neighbor Ising antiferromagnet: A Monte Carlo simulation

1993 ◽  
Vol 48 (1) ◽  
pp. 239-242 ◽  
Author(s):  
H. J. Herrmann ◽  
D. P. Landau
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Nearest Neighbor ◽  
Tricritical Point ◽  
Three Dimensional ◽  
Ising Antiferromagnet

Three-Dimensional Monte Carlo Simulation of Submicronic Devices

1993 ◽  
pp. 189-192 ◽  
Author(s):  
C. Brisset ◽  
P. Dollfus ◽  
N. Chemarin ◽  
R. Castagné ◽  
P. Hesto
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Three Dimensional

Secondary Fluorescence of 3D Heterogeneous Materials Using a Hybrid Model

2020 ◽  
Vol 26 (3) ◽  
pp. 484-496
Author(s):  
Yu Yuan ◽  
Hendrix Demers ◽  
Xianglong Wang ◽  
Raynald Gauvin
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Analytical Model ◽  
Hybrid Model ◽  
Three Dimensional ◽  
Heterogeneous Materials ◽  
X Ray ◽  
The Monte Carlo Method ◽  
Secondary Fluorescence ◽  
Good Agreement

AbstractIn electron probe microanalysis or scanning electron microscopy, the Monte Carlo method is widely used for modeling electron transport within specimens and calculating X-ray spectra. For an accurate simulation, the calculation of secondary fluorescence (SF) is necessary, especially for samples with complex geometries. In this study, we developed a program, using a hybrid model that combines the Monte Carlo simulation with an analytical model, to perform SF correction for three-dimensional (3D) heterogeneous materials. The Monte Carlo simulation is performed using MC X-ray, a Monte Carlo program, to obtain the 3D primary X-ray distribution, which becomes the input of the analytical model. The voxel-based calculation of MC X-ray enables the model to be applicable to arbitrary samples. We demonstrate the derivation of the analytical model in detail and present the 3D X-ray distributions for both primary and secondary fluorescence to illustrate the capability of our program. Examples for non-diffusion couples and spherical inclusions inside matrices are shown. The results of our program are compared with experimental data from references and with results from other Monte Carlo codes. They are found to be in good agreement.

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