Monte carlo simulation of nonlinear diffusion processes

1992 ◽  
Vol 9 (1) ◽  
pp. 25-33 ◽  
Author(s):  
Shigeyoshi Ogawa
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Nonlinear Diffusion ◽  
Diffusion Processes

Monte Carlo Simulation of Diffusion Processes in Three-Component Alloys

2019 ◽  
Vol 62 (4) ◽  
pp. 691-697
Author(s):  
A. R. Khalikov ◽  
E. A. Sharapov ◽  
E. A. Korznikova ◽  
A. I. Potekaev ◽  
M. D. Starostenkov ◽  
...  
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Diffusion Processes

Spatial Diffusion Processes 2: Numerical Analysis

1979 ◽  
Vol 11 (3) ◽  
pp. 335-347 ◽  
Author(s):  
M J Webber ◽  
A E Joseph
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Numerical Analysis ◽  
Diffusion Process ◽  
Diffusion Processes ◽  
Model Solution ◽  
Spatial Diffusion ◽  
System Of Cities ◽  
Reasonable Description ◽  
Parameter Values

An earlier paper (Webber and Joseph, 1978) proposed a model of the process whereby messages diffuse between a system of cities and provided a means of approximating the solution to that model if cities can ‘self-infect’ themselves with the message. This paper continues the analysis of this model by investigating the case in which a city cannot send the message to itself. The analysis is numerical, and an alternative to Monte Carlo simulation is used. The results indicate that the diffusion process described by the model is highly predictable if information on the accessibility of cities is available. A second part of the paper shows that the approximation used in the earlier paper provides a reasonable description of the model solution for at least some parameter values.

Electron Scattering in Solids

1990 ◽  
Vol 48 (2) ◽  
pp. 4-5
Author(s):  
Ryuichi Shimizu ◽  
Ze-Jun Ding
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Angular Distribution ◽  
Elastic Scattering ◽  
Electron Scattering ◽  
Cross Sections ◽  
Expansion Method ◽  
Electron Excitation ◽  
Partial Wave Expansion ◽  
Backscattered Electrons

Monte Carlo simulation has been becoming most powerful tool to describe the electron scattering in solids, leading to more comprehensive understanding of the complicated mechanism of generation of various types of signals for microbeam analysis.The present paper proposes a practical model for the Monte Carlo simulation of scattering processes of a penetrating electron and the generation of the slow secondaries in solids. The model is based on the combined use of Gryzinski’s inner-shell electron excitation function and the dielectric function for taking into account the valence electron contribution in inelastic scattering processes, while the cross-sections derived by partial wave expansion method are used for describing elastic scattering processes. An improvement of the use of this elastic scattering cross-section can be seen in the success to describe the anisotropy of angular distribution of elastically backscattered electrons from Au in low energy region, shown in Fig.l. Fig.l(a) shows the elastic cross-sections of 600 eV electron for single Au-atom, clearly indicating that the angular distribution is no more smooth as expected from Rutherford scattering formula, but has the socalled lobes appearing at the large scattering angle.

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