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We discuss the rejection-free event-chain Monte-Carlo algorithm and several applications to dense soft matter systems. Event-chain Monte-Carlo is an alternative to standard local Markov-chain Monte-Carlo schemes, which are based on detailed…

Soft Condensed Matter · Physics 2021-04-29 Tobias A. Kampmann , David Müller , Clemens Franz Vorsmann , Lukas Paul Weise , Jan Kierfeld

In this article, we present an event-driven algorithm that generalizes the recent hard-sphere event-chain Monte Carlo method without introducing discretizations in time or in space. A factorization of the Metropolis filter and the concept…

Statistical Mechanics · Physics 2014-02-10 Manon Michel , Sebastian C. Kapfer , Werner Krauth

We extend the event-chain Monte Carlo algorithm from hard-sphere interactions to the micro-canonical ensemble (constant potential energy) for general potentials. This event-driven Monte Carlo algorithm is non-local, rejection-free, and…

Statistical Mechanics · Physics 2022-08-31 Etienne P. Bernard , Werner Krauth

In this paper we present the event-chain algorithms, which are fast Markov-chain Monte Carlo methods for hard spheres and related systems. In a single move of these rejection-free methods, an arbitrarily long chain of particles is…

Statistical Mechanics · Physics 2010-02-08 Etienne P. Bernard , Werner Krauth , David B. Wilson

A Monte Carlo method to sample the classical configurational canonical ensemble is introduced. In contrast to the Metropolis algorithm, where trial moves can be rejected, in this approach collisions take place. The implementation is…

Statistical Mechanics · Physics 2015-03-19 E. A. J. F. Peters , G. de With

We combine parallelization and cluster Monte Carlo for hard sphere systems and present a parallelized event chain algorithm for the hard disk system in two dimensions. For parallelization we use a spatial partitioning approach into…

Statistical Mechanics · Physics 2014-12-18 Tobias Alexander Kampmann , Horst-Holger Boltz , Jan Kierfeld

Equilibrium sampling of the configuration space in disordered systems requires algorithms that bypass the glassy slowing down of the physical dynamics. Irreversible Monte Carlo algorithms breaking detailed balance successfully accelerate…

Disordered Systems and Neural Networks · Physics 2024-07-15 Federico Ghimenti , Ludovic Berthier , Frédéric van Wijland

Polyhedral nanocrystals are building blocks for nanostructured materials that find applications in catalysis and plasmonics. Synthesis efforts and self-assembly experiments have been assisted by computer simulations that predict phase…

Statistical Mechanics · Physics 2021-11-01 Marco Klement , Sangmin Lee , Joshua A. Anderson , Michael Engel

The seminal 2009 paper by Bernard, Krauth, and Wilson marked a paradigm shift in Monte Carlo sampling. By abandoning the restrictive condition of detailed balance in favor of the more fundamental principle of global balance, they introduced…

Computational Physics · Physics 2026-02-10 E. A. J. F. Peters

We apply the event-chain Monte Carlo algorithm to the three-dimensional ferromagnetic Heisenberg model. The algorithm is rejection-free and also realizes an irreversible Markov chain that satisfies global balance. The autocorrelation…

Statistical Mechanics · Physics 2015-12-22 Yoshihiko Nishikawa , Manon Michel , Werner Krauth , Koji Hukushima

We present, in a unifying way, the main components of three asynchronous event-driven algorithms for simulating physical systems of interacting particles. The first example, hard-particle molecular dynamics, is well-known. We also present a…

Other Computer Science · Computer Science 2008-09-09 Aleksandar Donev

A simple reweighting scheme is proposed for Monte Carlo simulations of interacting particle systems, permitting one to study various parameter values in a single study, and improving efficiency by an order of magnitude. Unlike earlier…

Statistical Mechanics · Physics 2009-10-31 Ronald Dickman

We propose an efficient Monte Carlo algorithm for the off-lattice simulation of dense hard sphere polymer melts using cluster moves, called event chains, which allow for a rejection-free treatment of the excluded volume. Event chains also…

Soft Condensed Matter · Physics 2015-09-24 Tobias Alexander Kampmann , Horst-Holger Boltz , Jan Kierfeld

Monte Carlo event generators are the central interface between theoretical calculations and experimental measurements in collider physics. Over several decades, a comprehensive and highly modular ecosystem of tools has developed around…

High Energy Physics - Phenomenology · Physics 2026-05-18 Melissa van Beekveld , Enrico Bothmann , Andy Buckley , Christian Gütschow , Peter Skands , Ramon Winterhalder

We apply the event-chain Monte Carlo algorithm to classical continuum spin models on a lattice and clarify the condition for its validity. In the two-dimensional XY model, it outperforms the local Monte Carlo algorithm by two orders of…

Statistical Mechanics · Physics 2018-09-13 Manon Michel , Johannes Mayer , Werner Krauth

The event-chain Monte Carlo (ECMC) method is an irreversible Markov process based on the factorized Metropolis filter and the concept of lifted Markov chains. Here, ECMC is applied to all-atom models of multi-particle interactions that…

Statistical Mechanics · Physics 2018-09-13 Michael F. Faulkner , Liang Qin , A. C. Maggs , Werner Krauth

A new Markov Chain Monte Carlo method for simulating the dynamics of molecular systems characterized by hard-core interactions is introduced. In contrast to traditional Kinetic Monte Carlo approaches, where the state of the system is…

Computational Physics · Physics 2017-02-07 Liborio I. Costa

We study the large-scale dynamics of event chain Monte Carlo algorithms in one dimension, and their relation to the true self-avoiding walk. In particular, we study the influence of stress, and different forms of interaction on the…

Computational Physics · Physics 2024-10-14 A. C. Maggs

We present a novel, generally applicable Monte Carlo algorithm for the simulation of fluid systems. Geometric transformations are used to identify clusters of particles in such a manner that every cluster move is accepted, irrespective of…

Statistical Mechanics · Physics 2016-08-31 Jiwen Liu , Erik Luijten

We introduce a `virtual-move' Monte Carlo (VMMC) algorithm for systems of pairwise-interacting particles. This algorithm facilitates the simulation of particles possessing attractions of short range and arbitrary strength and geometry, an…

Statistical Mechanics · Physics 2009-11-11 Stephen Whitelam , Phillip L. Geissler
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