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Fourier acceleration has been successfully applied to the simulation of lattice field theories for more than a decade. In this paper, we extend the method to the dynamics of discrete particles moving in continuum. Although our method is…

Statistical Mechanics · Physics 2009-10-31 Francis J. Alexander , Bruce M. Boghosian , Richard C. Brower , S. Roy Kimura

In MCMC methods, such as the Metropolis-Hastings (MH) algorithm, the Gibbs sampler, or recent adaptive methods, many different strategies can be proposed, often associated in practice to unknown rates of convergence. In this paper we…

Statistics Theory · Mathematics 2007-06-13 Didier Chauveau , Pierre Vandekerkhove

Simulations with high accuracy are an essential part of scientific research to accelerate the innovation process. They are especially useful for finding novel approaches or optimizing existing methods. Today, powerful software tools are…

Medical Physics · Physics 2022-08-31 Patrick Vogel , Martin A. Rückert , Thomas Kampf , Volker C. Behr

Phase-field simulations are a practical but also expensive tool to calculate microstructural evolution. This work aims to compare explicit time integrators for a broad class of phase-field models involving coupling between the phase-field…

Numerical Analysis · Mathematics 2026-03-02 Marco Seiz , Tomohiro Takaki

Langevin and Brownian simulations play a prominent role in computational research, and state of the art integration algorithms provide trajectories with different stability ranges and accuracy in reproducing statistical averages. The…

Computational Physics · Physics 2025-01-03 Bogdan Tanygin , Simone Melchionna

Hybrid particle-field methods are computationally efficient approaches for modelling soft matter systems. So far applications of these methodologies have been limited to constant volume conditions. Here, we reformulate particle-field…

Molecular dynamics (MD) is a powerful tool for exploring the behavior of atomistic systems, but its reliance on sequential numerical integration limits simulation efficiency. We present a novel neural network architecture, MDtrajNet, and a…

Chemical Physics · Physics 2026-03-17 Fuchun Ge , Yuxinxin Chen , Pavlo O. Dral

Molecular dynamics simulations are a cornerstone in science, allowing to investigate from the system's thermodynamics to analyse intricate molecular interactions. In general, to create extended molecular trajectories can be a…

Computational Physics · Physics 2022-06-22 Ludwig Winkler , Klaus-Robert Müller , Huziel E. Sauceda

In engineering examples, one often encounters the need to sample from unnormalized distributions with complex shapes that may also be implicitly defined through a physical or numerical simulation model, making it computationally expensive…

Methodology · Statistics 2024-11-27 Promit Chakroborty , Michael D. Shields

Coupled models are set to become increasingly important in all aspects of science and engineering as tools with which to study complex systems in an integrated manner. Such coupled, hybrid simulations typically communicate data between the…

Computational Physics · Physics 2009-11-11 P. V. Coveney , G. De Fabritiis , M. J. Harvey , S. M. Pickles , A. R. Porter

A funnel transformation is introduced, which acts recursively from higher towards lower temperatures. It biases the a-priori probabilities of a canonical or generalized ensemble Metropolis simulation, so that they zoom in on the global…

Soft Condensed Matter · Physics 2009-11-07 Bernd A. Berg

The complexities of today's materials simulations demand computer codes which are both powerful and highly flexible. A researcher should be able to readily choose different geometries, different materials and different algorithms without…

Pore forming toxins (PFTs) are virulent proteins released by several species, including many strains of bacteria, to attack and kill host cells. In this article, we focus on the utility of molecular dynamics (MD) simulations and the…

Soft Condensed Matter · Physics 2021-08-17 Rajat Desikan , Amit Behera , Prabal K. Maiti , K. Ganapathy Ayappa

The use of machine learning interatomic potentials (MLIPs) in simulations of materials is a state-of-the-art approach, which allows achieving nearly \textit{ab initio} accuracy with orders of magnitude less computational cost.…

Materials Science · Physics 2021-10-28 R. E. Ryltsev , N. M. Chtchelkatchev

Decades of hardware, methodological, and algorithmic development have propelled molecular dynamics (MD) simulations to the forefront of materials-modeling techniques, bridging the gap between electronic-structure theory and continuum…

Soft Condensed Matter · Physics 2020-11-11 Tristan Bereau

We construct a particle integrator for nonrelativistic particles by means of the splitting method based on the exact flow of the equation of motion of particles in the presence of constant electric and magnetic field. This integrator is…

Plasma Physics · Physics 2021-08-06 Tsunehiko N. Kato , Seiji Zenitani

The numerical simulation of three-dimensional charged-particle dynamics (CPD) under strong magnetic field is a basic and challenging algorithmic task in plasma physics. In this paper, we introduce a new methodology to design two-scale…

Numerical Analysis · Mathematics 2024-09-20 Bin Wang , Zhen Miao , Yaolin Jiang

Molecular Dynamics (MD) is a powerful computational microscope for probing protein functions. However, the need for fine-grained integration and the long timescales of biomolecular events make MD computationally expensive. To address this,…

Machine Learning · Computer Science 2026-03-30 Kacper Kapuśniak , Cristian Gabellini , Michael Bronstein , Prudencio Tossou , Francesco Di Giovanni

Only a small fraction of the data generated in state-of-the-art all-atom multi-microsecond molecular dynamics (MD) simulations is typically analyzed. With femtosecond integration steps, microsecond simulations generate billions of time…

Coarse-grained models that preserve hydrodynamics provide a natural approach to study collective properties of soft-matter systems. Here, we demonstrate that commonly used integration schemes in dissipative particle dynamics give rise to…

Soft Condensed Matter · Physics 2009-10-31 Gerhard Besold , Ilpo Vattulainen , Mikko Karttunen , James M. Polson
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