Hard-disk pressure computations—a historic perspective

B Li, Y Nishikawa, P Höllmer, L Carillo… - The Journal of …, 2022 - pubs.aip.org
We discuss pressure computations for the hard-disk model performed since 1953 and
compare them to the results that we obtain with a powerful event-chain Monte Carlo and a …

Fast, approximation-free molecular simulation of the SPC/Fw water model using non-reversible Markov chains

P Höllmer, AC Maggs, W Krauth - Scientific Reports, 2024 - nature.com
In a world made of atoms, computer simulations of molecular systems such as proteins in
water play an enormous role in science. Software packages for molecular simulation have …

PDMP characterisation of event-chain Monte Carlo algorithms for particle systems

A Monemvassitis, A Guillin, M Michel - Journal of Statistical Physics, 2023 - Springer
Monte Carlo simulations of systems of particles such as hard spheres or soft spheres with
singular kernels can display around a phase transition prohibitively long convergence times …

Large-scale dynamics of event-chain Monte Carlo

AC Maggs, W Krauth - Physical Review E, 2022 - APS
Event-chain Monte Carlo (ECMC) accelerates the sampling of hard-sphere systems, and
has been generalized to the potentials used in classical molecular simulations. Rather than …

Hard-disk dipoles and non-reversible Markov chains

P Höllmer, AC Maggs, W Krauth - The Journal of Chemical Physics, 2022 - pubs.aip.org
We benchmark event-chain Monte Carlo (ECMC) algorithms for tethered hard-disk dipoles
in two dimensions in view of application of ECMC to water models in molecular simulation …

Microscopic mechanisms of diffusion dynamics: A comparative efficiency study of event-chain Monte Carlo variants in dense hard disk systems

D Mugita, M Isobe - The Journal of Chemical Physics, 2024 - pubs.aip.org
In molecular simulations, efficient methods for investigating equilibration and slow relaxation
in dense systems are crucial yet challenging. This study focuses on the diffusional …

Damage spreading and coupling in spin glasses and hard spheres

K Hukushima, W Krauth - arXiv preprint arXiv:2410.05544, 2024 - arxiv.org
We study the connection between damage spreading, a phenomenon long discussed in the
physics literature, and the coupling of Markov chains, a technique used to bound the mixing …

Hard-disk computer simulations--a historic perspective

B Li, Y Nishikawa, P Hoellmer, L Carillo… - arXiv preprint arXiv …, 2022 - arxiv.org
We discuss historic pressure computations for the hard-disk model performed since 1953,
and compare them to results that we obtain with a powerful event-chain Monte Carlo and a …

[PDF][PDF] Non-Reversible Markov-Chain Monte Carlo: Theoretical Foundations and Applications in Molecular Simulation

P Höllmer - 2024 - d-nb.info
The overarching objective of this doctoral thesis is the development of a rigorous paradigm
for molecular simulation based on non-reversible Markov-chain Monte Carlo (MCMC) …