Metastability and Instability in the Lennard-Jones Fluid Investigated by Transition-Matrix Monte Carlo†,‡

2004 ◽  
Vol 108 (51) ◽  
pp. 19595-19606 ◽  
Author(s):  
Vincent K. Shen ◽  
Jeffrey R. Errington
Keyword(s):  
Monte Carlo ◽  
Transition Matrix ◽  
Lennard Jones

scholarly journals Optimized ensemble Monte Carlo simulations of dense Lennard-Jones fluids

2005 ◽  
Vol 123 (20) ◽  
pp. 204501 ◽  
Author(s):  
Simon Trebst ◽  
Emanuel Gull ◽  
Matthias Troyer
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Ensemble Monte Carlo ◽  
Lennard Jones

scholarly journals Prediction of prevalence of type 2 diabetes in Rwanda using the metropolis-hasting sampling

2021 ◽  
Vol 21 (2) ◽  
pp. 702-709
Author(s):  
Angelique Dukunde ◽  
Jean Marie Ntaganda ◽  
Juma Kasozi ◽  
Joseph Nzabanita
Keyword(s):  
Physical Activity ◽  
Mathematical Model ◽  
Type 2 Diabetes ◽  
Monte Carlo ◽  
Transition Matrix ◽  
Decision Makers ◽  
World Health ◽  
Health Decision ◽  
The Masses

In this work, we predict the prevalence of type 2 diabetes among adult Rwandan people. We used the Metropolis-Hasting method that involved calculating the metropolis ratio. The data are those reported by World Health Organiation in 2015. Considering Suffering from diabetes, Overweight, Obesity, Dead and other subject as states of mathematical model, the transition matrix whose elements are probabilities is generated using Metropolis-Hasting sampling. The numerical results show that the prevalence of type 2 diabetes increases from 2.8% in 2015 to reach 12.65% in 2020 and to 22.59% in 2025. Therefore, this indicates the urgent need of prevention by Rwandan health decision makers who have to play their crucial role in encouraging for example physical activity, regular checkups and sensitization of the masses. Keywords: Non communicable diseases; type 2 diabetes; Markov Chain Monte Carlo method; Metropolis-Hasting method; Transition probabilities.rds: 

Thermodynamic properties of the Lennard-Jones FCC solid: perturbation theory parameterisation and Monte Carlo simulation

2019 ◽  
Vol 118 (1) ◽  
pp. e1582813 ◽  
Author(s):  
Mostafa Abolala ◽  
Kiana Peyvandi ◽  
Farshad Varaminian ◽  
Seyed Majid Hashemianzadeh
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Perturbation Theory ◽  
Thermodynamic Properties ◽  
Lennard Jones
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