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We present a technique to efficiently compute long-range interactions in systems with periodic boundary conditions. We extend the well-known Ewald method by using a linear combination of screening Gaussian charge distributions instead of…

Computational Physics · Physics 2014-09-16 Ilkka Kylänpää , Esa Räsänen

We report the development and implementation of hybrid methods that combine quantum mechanics (QM) with molecular mechanics (MM) to theoretically characterize thiolated gold clusters. We use, as training systems, structures such as…

Materials Science · Physics 2012-08-06 Sandipan Banerjee , John A. Montgomery , José A. Gascón

Bootstrap embedding (BE) is a recently developed electronic structure method that has shown great success at treating electron correlation in molecules. Here, we extend BE to treat surfaces and solids where the wave function is represented…

Strongly Correlated Electrons · Physics 2023-01-18 Oinam Romesh Meitei , Troy Van Voorhis

The evaluation of long-range Coulomb interactions is a significant cost in molecular dynamics (MD), even when using Particle Mesh Ewald (PME) or Particle-Particle-Particle-Mesh (PPPM) methods, which rely on Ewald splitting and the fast…

Numerical Analysis · Mathematics 2026-04-21 Jiuyang Liang , Libin Lu , Alex Barnett , Leslie Greengard , Shidong Jiang

We present our successful implementation of the quantum electrodynamics coupled-cluster method with single and double excitations (QED-CCSD) for electronic and bosonic amplitudes, covering both individual and mixed excitation processes…

Quantum Physics · Physics 2024-09-12 Himadri Pathak , Nicholas P. Bauman , Ajay Panyala , Karol Kowalski

We present a novel multi-scale embedding scheme that links conventional QM/MM embedding and bootstrap embedding (BE) to allow simulations of large chemical systems on limited quantum devices. We also propose a mixed-basis BE scheme that…

The constant potential molecular dynamics simulation method proposed by Siepmann and Sprik and reformulated later by Reed (SR-CPM) has been widely employed to investigate the metallic electrolyte/electrode interfaces, especially for…

Chemical Physics · Physics 2022-05-04 Haoyu Li , Peiyao Wang , Jefferson Zhe Liu , Gengping Jiang

The inherent complexity of biological systems gives rise to complicated mechanistic models with a large number of parameters. On the other hand, the collective behavior of these systems can often be characterized by a relatively small…

Quantitative Methods · Quantitative Biology 2016-06-15 Mark K. Transtrum , Peng Qiu

Dielectrically confined Coulomb systems are widely employed in molecular dynamics (MD) simulations. Despite extensive efforts in developing efficient and accurate algorithms for these systems, rigorous and accurate error estimates, which…

Numerical Analysis · Mathematics 2025-03-25 Xuanzhao Gao , Qi Zhou , Zecheng Gan , Jiuyang Liang

Continuum solvation methods can provide an accurate and inexpensive embedding of quantum simulations in liquid or complex dielectric environments. Notwithstanding a long history and manifold applications to isolated systems in open boundary…

Materials Science · Physics 2014-12-02 Oliviero Andreussi , Nicola Marzari

A kernel-based method (kernelized minimal distributed charge model - kMDCM) to represent the molecular electrostatic potential (ESP) in terms of off-center point charges whose positions adapts to the molecular geometry. Using Gaussian…

Chemical Physics · Physics 2024-06-04 Eric Boittier , Kai Töpfer , Mike Devereux , Markus Meuwly

We developed a general framework for hybrid quantum-classical computing of molecular and periodic embedding approaches based on an orbital space separation of the fragment and environment degrees of freedom. We demonstrate its potential by…

Chemical Physics · Physics 2024-12-23 Stefano Battaglia , Max Rossmannek , Vladimir V. Rybkin , Ivano Tavernelli , Jürg Hutter

Time-domain Boundary Element Methods (BEM) have been successfully used in acoustics, optics and elastodynamics to solve transient problems numerically. However, the storage requirements are immense, since the fully populated system matrices…

Numerical Analysis · Mathematics 2020-06-11 Daniel Seibel

We propose a very simple but realistic enough model which allows to include a large number of molecules in molecular dynamics MD simulations of these bilayers, but nevertheless taking into account molecular charge distributions, flexible…

Soft Condensed Matter · Physics 2009-11-13 Z. Gamba

Electrochemical processes play a crucial role in energy storage and conversion systems, yet their computational modeling remains a significant challenge. Accurately incorporating the effects of electric potential has been a central focus in…

Chemical Physics · Physics 2024-11-25 Jingwen Zhou , Yunsong Fu , Ling Liu , Chungen Liu

The Poisson-Boltzmann equation offers an efficient way to study electrostatics in molecular settings. Its numerical solution with the boundary element method is widely used, as the complicated molecular surface is accurately represented by…

Numerical Analysis · Mathematics 2021-08-25 Stefan D. Search , Christopher D. Cooper , Elwin van't Wout

Collective light-matter interactions have been used to control chemistry and energy transfer, yet accessible approaches that combine ab initio methodology with large many-body quantum optical systems are missing due to the fast increase in…

Quantum Physics · Physics 2024-08-27 Frieder Lindel , Dominik Lentrodt , Stefan Yoshi Buhmann , Christian Schäfer

This paper presents a re-formulation of the boundary integral method (BIM) for the Debye-Huckel model of molecular and colloidal electrostatics that removes the mathematical singularities that have been accepted as an intrinsic part of the…

Computational Physics · Physics 2019-10-14 Q. Sun , E. Klaseboer , D. Y. C. Chan

We develop a boundary integral equation-based numerical method to solve for the electrostatic potential in two dimensions, inside a medium with piecewise constant conductivity, where the boundary condition is given by the complete electrode…

Numerical Analysis · Mathematics 2024-03-28 Teemu Tyni , Adam R Stinchcombe , Spyros Alexakis

Modeling microstructure evolution in electrochemical systems is vital for understanding the mechanism of various electrochemical processes. In this work, we propose a general phase field framework that is fully variational and thus…

Materials Science · Physics 2023-12-12 Jin Zhang , Alexander F. Chadwick , Peter W. Voorhees