Monte Carlo simulations and thermodynamic perturbation theory (TPT) have emerged as pivotal tools in elucidating the structural and thermodynamic properties of water through simplified models. In ...

Researchers have developed a highly efficient method to investigate systems with long-range interactions that were previously puzzling to experts. These systems can be gases or even solid materials ...

Monte Carlo simulations have become a cornerstone in quantitative finance, particularly in the pricing of complex options and in modelling volatility dynamics. This numerical method employs random ...

With highly specialized instruments, we can see materials on the nanoscale – but we can’t see what many of them do. That limits researchers’ ability to develop new therapeutics and new technologies ...

The Annals of Statistics, Vol. 39, No. 2 (April 2011), pp. 673-701 (29 pages) The random numbers driving Markov chain Monte Carlo (MCMC) simulation are usually modeled as independent U (0, 1) random ...

Advisors and websites often show clients the results of large numbers of Monte Carlo simulations. It is hoped that clients will be calmed by pursuing avenues predicted to have a 90% chance of success.