Analytical study of statistical error in coupled finite-volume/Monte Carlo simulations of the plasma edge

2018 ◽  
Vol 58 (6-8) ◽  
pp. 659-665
Author(s):  
M. Baeten ◽  
K. Ghoos ◽  
M. Baelmans ◽  
G. Samaey
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Finite Volume ◽  
Analytical Study ◽  
Statistical Error ◽  
Plasma Edge

scholarly journals Accuracy and Convergence of Coupled Finite-Volume / Monte-Carlo Codes for Plasma Edge Simulations

2016 ◽  
Vol 56 (6-8) ◽  
pp. 616-621 ◽  
Author(s):  
K. Ghoos ◽  
W. Dekeyser ◽  
G. Samaey ◽  
P. Börner ◽  
D. Reiter ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Finite Volume ◽  
Plasma Edge

scholarly journals An improved mathematical prediction of the time evolution of the Covid-19 Pandemic in Italy, with Monte Carlo simulations and error analyses

2020 ◽  
Author(s):  
Ignazio Ciufolini ◽  
Antonio Paolozzi
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Time Evolution ◽  
Previous Analysis ◽  
Substantial Reduction ◽  
Statistical Error ◽  
Black Body ◽  
Black Body Radiation ◽  
Error Analyses ◽  
Average Factor

AbstractHere we present an improved mathematical analysis of the time evolution of the Covid-19 pandemic in Italy and a statistical error analyses of its evolution, including Monte Carlo simulations with a very large number of runs to evaluate the uncertainties in its evolution. A previous analysis was based on the assumption that the number of nasopharyngeal swabs would be constant, however the number of daily swabs has been increasing with an average factor of about five with respect to our previous analysis, Therefore, here we consider the time evolution of the ratio of the diagnosed positive cases to number of swabs, which is more representative of the evolution of the pandemic when the number of swabs is increasing or changing in time. We consider a number of possible distributions representing the evolution of the pandemic in Italy and we test their prediction capability over a period up to four weeks. The results show that a distribution of the type of Planck’s black body radiation law provides very good forecasting. The use of different distributions provides an independent estimate of the uncertainty. We then consider five possible cases for the number of daily swabs and we then estimate the potential dates of a substantial reduction in the number of diagnosed positive cases. We then perform Monte Carlo simulations with 25000 runs to evaluate the uncertainty in the prediction of the date of a substantial reduction in the number of diagnosed daily cases. Finally, we present an alternative method to evaluate the uncertainty in our mathematical predictions based on the study of each region of Italy and we present an application of the Central Limit Theorem with 100000 runs to display the uncertainty in our mathematical predictions based on the analysis of each region.

scholarly journals Penetrable-square-well fluids: Analytical study and Monte Carlo simulations

2009 ◽  
Vol 131 (12) ◽  
pp. 124106 ◽  
Author(s):  
Riccardo Fantoni ◽  
Achille Giacometti ◽  
Alexandr Malijevský ◽  
Andrés Santos
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Analytical Study ◽  
Square Well

scholarly journals Patchy sticky hard spheres: Analytical study and Monte Carlo simulations

2007 ◽  
Vol 127 (23) ◽  
pp. 234507 ◽  
Author(s):  
Riccardo Fantoni ◽  
Domenico Gazzillo ◽  
Achille Giacometti ◽  
Mark A. Miller ◽  
Giorgio Pastore
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Analytical Study ◽  
Hard Spheres

scholarly journals Accuracy and convergence with coupled finite-volume Monte Carlo codes for time-dependent plasma edge simulations

2019 ◽  
Vol 60 (5-6) ◽  
pp. e201900126
Author(s):  
Kristel Ghoos ◽  
Giovanni Samaey ◽  
Martine Baelmans
Keyword(s):  
Monte Carlo ◽  
Finite Volume ◽  
Time Dependent ◽  
Plasma Edge

Accuracy and convergence of coupled finite-volume/Monte Carlo codes for plasma edge simulations of nuclear fusion reactors

2016 ◽  
Vol 322 ◽  
pp. 162-182 ◽  
Author(s):  
K. Ghoos ◽  
W. Dekeyser ◽  
G. Samaey ◽  
P. Börner ◽  
M. Baelmans
Keyword(s):  
Monte Carlo ◽  
Finite Volume ◽  
Nuclear Fusion ◽  
Fusion Reactors ◽  
Plasma Edge

Low-voltage EDS of magnesium ferrite Dendrites in a FEG-SEM

1996 ◽  
Vol 54 ◽  
pp. 478-479
Author(s):  
Matthew T. Johnson ◽  
Ian M. Anderson ◽  
Jim Bentley ◽  
C. Barry Carter
Keyword(s):  
Monte Carlo ◽  
Quantitative Analysis ◽  
Monte Carlo Simulations ◽  
Cross Section ◽  
Spatial Resolution ◽  
Low Voltage ◽  
Magnesium Ferrite ◽  
X Ray ◽  
Interaction Volume ◽  
Ferrite Spinel

Energy-dispersive X-ray spectrometry (EDS) performed at low (≤ 5 kV) accelerating voltages in the SEM has the potential for providing quantitative microanalytical information with a spatial resolution of ∼100 nm. In the present work, EDS analyses were performed on magnesium ferrite spinel [(MgxFe1−x)Fe2O4] dendrites embedded in a MgO matrix, as shown in Fig. 1. spatial resolution of X-ray microanalysis at conventional accelerating voltages is insufficient for the quantitative analysis of these dendrites, which have widths of the order of a few hundred nanometers, without deconvolution of contributions from the MgO matrix. However, Monte Carlo simulations indicate that the interaction volume for MgFe2O4 is ∼150 nm at 3 kV accelerating voltage and therefore sufficient to analyze the dendrites without matrix contributions.Single-crystal {001}-oriented MgO was reacted with hematite (Fe2O3) powder for 6 h at 1450°C in air and furnace cooled. The specimen was then cleaved to expose a clean cross-section suitable for microanalysis.

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