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Quasi two-dimensional Coulomb systems have drawn widespread interest. The reduced symmetry of these systems leads to complex collective behaviors, yet simultaneously poses significant challenges for particle-based simulations. In this…

Numerical Analysis · Mathematics 2025-07-15 Zecheng Gan , Xuanzhao Gao , Jiuyang Liang , Zhenli Xu

The Random Batch Method (RBM) is an effective technique to reduce the computational complexity when solving certain stochastic differential problems (SDEs) involving interacting particles. It can transform the computational complexity from…

Numerical Analysis · Mathematics 2024-12-23 Yanshun Zhao , Jingrun Chen , Zhiwen Zhang

Langevin Dynamics, Monte Carlo, and all-atom Molecular Dynamics simulations in implicit solvent, widely used to access the microscopic transitions in biomolecules, require a reliable source of random numbers. Here we present the two main…

Chemical Physics · Physics 2010-03-05 A. Zhmurov , K. Rybnikov , Y. Kholodov , V. Barsegov

We discuss an implementation of molecular dynamics (MD) simulations on a graphic processing unit (GPU) in the NVIDIA CUDA language. We tested our code on a modern GPU, the NVIDIA GeForce 8800 GTX. Results for two MD algorithms suitable for…

Other Condensed Matter · Physics 2008-09-10 J. A. van Meel , A. Arnold , D. Frenkel , S. F. Portegies Zwart , R. G. Belleman

In the first part of a series of two papers, we present in considerable detail a collision-driven molecular dynamics algorithm for a system of nonspherical particles, within a parallelepiped simulation domain, under both periodic or…

Computational Physics · Physics 2007-05-23 Aleksandar Donev , Salvatore Torquato , Frank H. Stillinger

We present a scalable dissipative particle dynamics simulation code, fully implemented on the Graphics Processing Units (GPUs) using a hybrid CUDA/MPI programming model, which achieves 10-30 times speedup on a single GPU over 16 CPU cores…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-01 Yu-Hang Tang , George Em Karniadakis

RPYFMM is a software package for the efficient evaluation of the potential field governed by the Rotne-Prager-Yamakawa (RPY) tensor interactions in biomolecular hydrodynamics simulations. In our algorithm, the RPY tensor is decomposed as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-04 W. Guan , X. Cheng , J. Huang , G. Huber , W. Li , J. A. McCammon , B. Zhang

We report a novel hybrid method of simultaneous atomistic simulation of solids in critical regions (contacts surfaces, cracks areas, etc.), along with continuum modeling of other parts. The continuum is treated in terms of quasi-atoms of…

Materials Science · Physics 2026-02-17 Artem Chuprov , Egor E. Nuzhin , Alexey A. Tsukanov , Nikolay V. Brilliantov

The introduction of accelerator devices such as graphics processing units (GPUs) has had profound impact on molecular dynamics simulations and has enabled order-of-magnitude performance advances using commodity hardware. To fully reap these…

Computational Physics · Physics 2020-10-28 Szilárd Páll , Artem Zhmurov , Paul Bauer , Mark Abraham , Magnus Lundborg , Alan Gray , Berk Hess , Erik Lindahl

Machine-learned interatomic potentials have revolutionized molecular dynamics simulations by providing quantum-mechanical accuracy at empirical-potential speeds. The graphics processing unit molecular dynamics (GPUMD) package, featuring the…

The RMPCDMD software package performs hybrid Molecular Dynamics simulations, coupling Multiparticle Collision Dynamics to model the solvent and Molecular Dynamics to model suspended colloids, including hydrodynamics, thermal fluctuations,…

Computational Physics · Physics 2017-01-13 Pierre de Buyl , Mu-Jie Huang , Laurens Deprez

Massively parallel computer architectures create new opportunities for the performance of long-timescale molecular dynamics (MD) simulations. Here, we introduce the path-accelerated molecular dynamics (PAMD) method that takes advantage of…

Computational Physics · Physics 2021-01-11 Jorge L. Rosa-Raíces , Bin Zhang , Thomas F. Miller

Quasi-2D Coulomb systems are of fundamental importance and have attracted much attention in many areas nowadays. Their reduced symmetry gives rise to interesting collective behaviors, but also brings great challenges for particle-based…

Numerical Analysis · Mathematics 2025-02-05 Zecheng Gan , Xuanzhao Gao , Jiuyang Liang , Zhenli Xu

We present an efficient open-source implementation of the multiparticle collision dynamics (MPCD) algorithm that scales to run on hundreds of graphics processing units (GPUs). We especially focus on optimizations for modern GPU…

Soft Condensed Matter · Physics 2018-08-01 Michael P. Howard , Athanassios Z. Panagiotopoulos , Arash Nikoubashman

We present GridFF, an efficient method for simulating molecules on rigid substrates, derived from techniques used in protein-ligand docking in biochemistry. By projecting molecule-substrate interactions onto precomputed spatial grids with…

Chemical Physics · Physics 2025-08-22 Indranil Mal , Milan Kočí , Paolo Nicolini , Prokop Hapala

We develop an accurate, highly efficient and scalable random batch sum-of-Gaussians (RBSOG) method for molecular dynamics simulations of systems with long-range interactions. The idea of the RBSOG method is based on a sum-of-Gaussians…

Computational Physics · Physics 2022-05-30 Jiuyang Liang , Zhenli Xu , Qi Zhou

In this paper, a new progressive mesh algorithm is introduced in order to perform fast physical simulations by the use of a lattice Boltzmann method (LBM) on a single-node multi-GPU architecture. This algorithm is able to mesh automatically…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-14 Julien Duchateau , François Rousselle , Nicolas Maquignon , Gilles Roussel , Christophe Renaud

Machine learning potentials have emerged as a means to enhance the accuracy of biomolecular simulations. However, their application is constrained by the significant computational cost arising from the vast number of parameters compared to…

The computational bottleneck of molecular dynamics is the pairwise additive long-range interactions between particles. The random batch Ewald (RBE) method provides a highly efficient and superscalable solver for long-range interactions, but…

Chemical Physics · Physics 2023-12-29 Jiuyang Liang , Zhenli Xu , Yue Zhao

We introduce a particle-based simulation method for granular material in interactive frame rates. We divide the simulation into two decoupled steps. In the first step, a relatively small number of particles is accurately simulated with a…

Graphics · Computer Science 2023-08-04 Alexander Sommer , Ulrich Schwanecke , Elmar Schömer