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We present an efficient method to perform overdamped Brownian dynamics simulations in external force fields and for particle interactions that include a hardcore part. The method applies to particle motion in one dimension, where it is…

Statistical Mechanics · Physics 2026-02-23 Alexander P. Antonov , Sören Schweers , Artem Ryabov , Philipp Maass

Ab initio molecular dynamics (AIMD) based on density functional theory (DFT) has become a workhorse for studying the structure, dynamics, and reactions in condensed matter systems. Currently, AIMD simulations are primarily carried out at…

Chemical Physics · Physics 2025-06-10 Ritama Kar , Sagarmoy Mandal , Vaishali Thakkur , Bernd Meyer , Nisanth N. Nair

Neural network-based molecular dynamics (NNMD) simulations incorporating long-range electrostatic interactions have significantly extended the applicability to heterogeneous and ionic systems, enabling effective modeling critical physical…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-23 Jianxiong Li , Beining Zhang , Mingzhen Li , Siyu Hu , Jinzhe Zeng , Lijun Liu , Guojun Yuan , Zhan Wang , Guangming Tan , Weile Jia

Heterogeneous multiscale methods (HMM) combine molecular accuracy of particle-based simulations with the computational efficiency of continuum descriptions to model flow in soft matter liquids. In these schemes, molecular simulations…

Dissipative particle dynamics (DPD) is now a well-established method for simulating soft matter systems. However, its applicability was recently questioned because some investigations showed an upper coarse-graining limit that would prevent…

Soft Condensed Matter · Physics 2011-11-09 Rudolf M. Füchslin , Harold Fellermann , Anders Eriksson , Hans-Joachim Ziock

Ab initio molecular dynamics (AIMD) simulations employing density functional theory (DFT) and plane waves are routinely carried out using density functionals at the level of Generalized Gradient Approximation (GGA). AIMD simulations…

Chemical Physics · Physics 2020-03-04 Sagarmoy Mandal , Nisanth N. Nair

Interacting-Particle Reaction Dynamics (iPRD) simulates the spatiotemporal evolution of particles that experience interaction forces and can react with one another. The combination of interaction forces and reactions enable a wide range of…

Chemical Physics · Physics 2018-07-20 Christoph Fröhner , Frank Noé

Molecular dynamics simulations can generate atomically detailed trajectories of complex systems, but analyzing these dynamics can be challenging when systems lack well-established quantitative descriptors (features). Graph neural networks…

Machine Learning · Computer Science 2025-12-09 Zihan Pengmei , Spencer C. Guo , Chatipat Lorpaiboon , Aaron R. Dinner

We propose a new multi-scale molecular dynamics simulation method which can achieve high accuracy and high sampling efficiency simultaneously without aforehand knowledge of the coarse grained (CG) potential and test it for a biomolecular…

Biological Physics · Physics 2009-08-05 Wenfei Li , Shoji Takada

Direct numerical simulations (DNS) of microscale fluid-structure interactions (mFSI) in multicomponent multiphase flows pose many challenges, including the thermodynamic consistency of multiphysics couplings, tracking of moving interfaces,…

Fluid Dynamics · Physics 2025-08-08 Min Gao , Zhihao Li , Xinpeng Xu

Incorporating atomistic and molecular information into models of cellular behaviour is challenging because of a vast separation of spatial and temporal scales between processes happening at the atomic and cellular levels. Multiscale or…

Computational Physics · Physics 2019-08-28 Radek Erban

Density functionals at the level of the Generalized Gradient Approximation (GGA) and a plane-wave basis set are widely used today to perform ab initio molecular dynamics (AIMD) simulations. Going up in the ladder of accuracy of density…

Computational Physics · Physics 2021-10-18 Sagarmoy Mandal , Ritama Kar , Tobias Kloeffel , Bernd Meyer , Nisanth N. Nair

In this paper, we present a study on how to develop an efficient multiscale simulation strategy for the dynamics of chemically active systems on low-dimensional supports. Such reactions are encountered in a wide variety of situations,…

Computational Physics · Physics 2015-06-04 Giacomo Mazzi , Yannick De Decker , Giovanni Samaey

Particle-based stochastic reaction-diffusion (PBSRD) models are a popular approach for capturing stochasticity in reaction and transport processes across biological systems. In some contexts, the overdamped approximation inherent in such…

Biological Physics · Physics 2025-06-17 Samuel A. Isaacson , Qianhan Liu , Konstantinos Spiliopoulos , Chen Yao

With the continuous growth of processing power for scientific computing, first principles Born-Oppenheimer molecular dynamics (MD) simulations are becoming increasingly popular for the study of a wide range of problems in materials science,…

Materials Science · Physics 2015-06-04 Anders M. N. Niklasson , Marc J. Cawkwell

Stochastic chemical systems with diffusion are modeled with a reaction-diffusion master equation. On a macroscopic level, the governing equation is a reaction-diffusion equation for the averages of the chemical species. On a mesoscopic…

Numerical Analysis · Mathematics 2009-03-06 Stefan Engblom , Lars Ferm , Andreas Hellander , Per Lötstedt

Dynamic density functionals (DDFs) are popular tools for studying the dynamical evolution of inhomogeneous polymer systems. Here, we present a systematic evaluation of a set of diffusive DDF theories by comparing their predictions with data…

Soft Condensed Matter · Physics 2018-02-07 Shuanhu Qi , Friederike Schmid

Developments in dynamical systems theory provides new support for the macroscale modelling of pdes and other microscale systems such as Lattice Boltzmann, Monte Carlo or Molecular Dynamics simulators. By systematically resolving subgrid…

Numerical Analysis · Mathematics 2012-01-18 A. J. Roberts , Tony MacKenzie , J. E. Bunder

Molecular dynamics is a powerful simulation tool to explore material properties. Most of the realistic material systems are too large to be simulated with first-principles molecular dynamics. Classical molecular dynamics has lower…

Computational Physics · Physics 2021-01-11 Zun Wang , Chong Wang , Sibo Zhao , Shiqiao Du , Yong Xu , Bing-Lin Gu , Wenhui Duan

Quantum mechanics/molecular mechanics (QM/MM) is a standard computational tool for describing chemical reactivity in systems with many degrees of freedom, including polymers, enzymes, and reacting molecules in complex solvents. However,…

Chemical Physics · Physics 2020-07-22 Alexander V. Mironenko , Gregory A. Voth