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Verstraelen et al. (J. Chem. Theory Comput. 12 (2016) 3894-3912) recently introduced a new method for partitioning the electron density of a material into constituent atoms. Their approach falls within the class of atomic population…

Chemical Physics · Physics 2017-01-09 Thomas A. Manz

The aim of this paper is to analyze from a mathematical perspective some existing schemes to partition a molecular density into several atomic contributions, with a specific focus on Iterative Stockholder Atom (ISA) methods. We provide a…

Numerical Analysis · Mathematics 2022-05-11 Robert Benda , Eric Cancès , Virginie Ehrlacher , Benjamin Stamm

Coulomb interaction, following an inverse-square force-law, quantifies the amount of force between two stationary and electrically charged particles. The long-range nature of Coulomb interactions poses a major challenge to molecular…

Computational Physics · Physics 2022-01-26 Jiuyang Liang , Pan Tan , Yue Zhao , Lei Li , Shi Jin , Liang Hong , Zhenli Xu

The recently developed iterated stockholder atoms (ISA) approach of Lillestolen and Wheatley (Chem. Commun. {\bf 2008}, 5909 (2008)) offers a powerful method for defining atoms in a molecule. However, the real-space algorithm is known to…

Materials Science · Physics 2014-09-23 Alston J. Misquitta , Anthony J. Stone , Farhang Fazeli

Accurate modeling of long-range forces is critical in atomistic simulations, as they play a central role in determining the properties of materials and chemical systems. However, standard machine learning interatomic potentials (MLIPs)…

Computational Physics · Physics 2024-12-23 Dongjin Kim , Daniel S. King , Peichen Zhong , Bingqing Cheng

A new particle-based sampling and approximate inference method, based on electrostatics and Newton mechanics principles, is introduced with theoretical ground, algorithm design and experimental validation. This method simulates an…

Artificial Intelligence · Computer Science 2024-07-01 Yongchao Huang

Distributed point charge models (DCM) and their minimal variants (MDCM) have been integrated with tools widely used for condensed-phase simulations, including a virial-based barostat and a slow-growth algorithm for thermodynamic…

Chemical Physics · Physics 2020-11-03 Mike Devereux , Marco Pezzella , Shampa Raghunathan , Markus Meuwly

Accurate modelling of electrostatic interactions and charge transfer is fundamental to computational chemistry, yet most machine learning interatomic potentials (MLIPs) rely on local atomic descriptors that cannot capture long-range…

The previously applied independent atom model (IAM) for highly charged ion-molecule collisions which implemented the suppression of multiple ionization and capture on the basis of geometric overlaps of cross-sectional areas representing…

Atomic Physics · Physics 2025-09-15 Hans Jürgen Lüdde , Marko Horbatsch , Tom Kirchner

Machine learning interatomic potentials (MLIPs) have become widely used tools in atomistic simulations. For much of the history of this field, the most commonly employed architectures were based on short-ranged atomic energy contributions,…

Chemical Physics · Physics 2026-03-17 William J. Baldwin , Ilyes Batatia , Martin Vondrák , Johannes T. Margraf , Gábor Csányi

Recently we have developed a robust, basis-space implementation of the iterated stockholder atoms (BS-ISA) approach for defining atoms in a molecule. This approach has been shown to yield rapidly convergent distributed multipole expansions…

Chemical Physics · Physics 2018-09-03 Alston J. Misquitta , Anthony J. Stone

The embedded atom method (EAM) is one of the most widely used many-body, short-range potentials in molecular dynamics simulations, particularly for metallic systems. To enhance the efficiency of calculating these short-range interactions,…

Materials Science · Physics 2025-03-25 Jieqiong Zhang , Jizu Huang , Zihao Yang

The electron density of a molecule or material has recently received major attention as a target quantity of machine-learning models. A natural choice to construct a model that yields transferable and linear-scaling predictions is to…

Chemical Physics · Physics 2022-06-29 Andrea Grisafi , Alan M. Lewis , Mariana Rossi , Michele Ceriotti

We construct a new phase-field model for the solvation of charged molecules with a variational implicit solvent. Our phase-field free-energy functional includes the surface energy, solute-solvent van der Waals dispersion energy, and…

Numerical Analysis · Mathematics 2017-12-07 Yanxiang Zhao , Yanping Ma , Hui Sun , Bo Li , Qiang Du

The lack of long-range electrostatics is a key limitation of modern machine learning interatomic potentials (MLIPs), hindering reliable applications to interfaces, charge-transfer reactions, polar and ionic materials, and biomolecules. In…

Computational Physics · Physics 2025-12-23 Dongjin Kim , Bingqing Cheng

In this work, we introduce several approximations of the Iterative Stockholder Analysis (ISA) method based on exponential basis functions. These approximations are categorized into linear and non-linear models, referred to as LISA and NLIS,…

Chemical Physics · Physics 2025-07-25 YingXing Cheng , Benjamin Stamm

Based on thermodynamic integration we introduce atoms in molecules (AIM) using the orbital-free framework of alchemical perturbation density functional theory (APDFT). Within APDFT, atomic energies and electron densities in molecules are…

Chemical Physics · Physics 2020-06-15 Guido Falk von Rudorff , O. Anatole von Lilienfeld

A recently developed model to describe proton collisions from molecules involving basic atoms such as hydrogen, carbon, nitrogen, oxygen and phosphorus (H, C, N, O, P) is extended to treat collisions with multiply charged ions. The ion-atom…

Atomic Physics · Physics 2020-07-01 Hans Jürgen Lüdde , Thilo Kalkbrenner , Marko Horbatsch , Tom Kirchner

We propose a local, O(N) molecular dynamics algorithm for the simulation of charged systems. The long ranged Coulomb potential is generated by a propagating electric field that obeys modified Maxwell equations. On coupling the…

Soft Condensed Matter · Physics 2009-11-10 Jörg Rottler , A. C. Maggs

Machine learning interatomic potentials (MLIPs) provide a computationally efficient alternative to quantum mechanical simulations for predicting material properties. Message-passing graph neural networks, commonly used in these MLIPs, rely…

Chemical Physics · Physics 2025-09-08 Moin Uddin Maruf , Sungmin Kim , Zeeshan Ahmad
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