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The many-body expansion (MBE) is an efficient tool which has a long history of use for calculating interaction energies, binding energies, lattice energies, and so on. In the past, applications of MBE to correlation energy have been…

Strongly Correlated Electrons · Physics 2021-08-11 Vibin Abraham , Nicholas Mayhall

The Many-Body Expansion (MBE) is a useful tool to simulate condensed phase chemical systems, often avoiding the steep computational cost of usual electronic structure methods. However, it often requires higher than 2-body terms to achieve…

Chemical Physics · Physics 2019-11-21 Srimukh Prasad Veccham , Joonho Lee , Martin Head-Gordon

We calculate binding energies of four molecular solids using the Hartree-Fock (HF) and second-order M{\o}ller-Plesset perturbation theory (MP2). We obtain the energies within many-body expansion (MBE) as well as using periodic boundary…

Chemical Physics · Physics 2022-08-15 J. Hofierka , J. Klimes

In this study, we utilize the many-body expansion (MBE) framework to decompose electronic structures into fragments by incrementing the virtual orbitals. Our work aims to accurately solve the ground and excited state energies of each…

Chemical Physics · Physics 2023-10-09 Enhua Xu , Yuma Shimomoto , Seiichiro L. Ten-no , Takashi Tsuchimochi

Fragmentation methods such as the many-body expansion (MBE) are a common strategy to model large systems by partitioning energies into a hierarchy of decreasingly significant contributions. The number of fragments required for chemical…

Chemical Physics · Physics 2017-09-13 Kun Yao , John E. Herr , John Parkhill

Energy-based fragmentation methods approximate the potential energy of a molecular system as a sum of contribution terms built from the energies of particular subsystems. Some such methods reduce to truncations of the many-body expansion…

Numerical Analysis · Mathematics 2025-09-25 James Barker , Michael Griebel , Jan Hamaekers

The many-body polarization energy is the major source of non-additivity in strongly polar systems such as water. This non-additivity is often considerable and must be included, if only in an average manner, to correctly describe the…

Chemical Physics · Physics 2019-08-14 Rory A. J. Gilmore , Martin T. Dove , Alston J. Misquitta

We present a many-body expansion (MBE) formulation and implementation for efficient computation of analytical energy gradients from OSV-MP2 theory based on our earlier work (Zhou et al. J. Chem. Theory Comput. 2020, 16, 196-210). The…

Chemical Physics · Physics 2021-11-15 Qiujiang Liang , Jun Yang

We present a highly accurate and transferable parameterization of water using the atomic cluster expansion (ACE). To efficiently sample liquid water, we propose a novel approach that involves sampling static calculations of various ice…

Materials Science · Physics 2024-06-21 Eslam Ibrahim , Yury Lysogorskiy , Ralf Drautz

Recent work has shown that the many-body expansion of the interaction energy can effectively be used to develop analytical representations of global potential energy surfaces (PESs) for water. In this study, the role of short- and…

Materials Science · Physics 2015-09-30 Gregory R. Medders , Andreas W. Gotz , Miguel A. Morales , Francesco Paesani

The accurate representation of multidimensional potential energy surfaces is a necessary requirement for realistic computer simulations of molecular systems. The continued increase in computer power accompanied by advances in correlated…

The MB-pol many-body potential has recently emerged as an accurate molecular model for water simulations from the gas to the condensed phase. In this study, the accuracy of MB-pol is systematically assessed across the three phases of water…

Standard forms of density-functional theory (DFT) have good predictive power for many materials, but are not yet fully satisfactory for solid, liquid and cluster forms of water. We use a many-body separation of the total energy into its…

Materials Science · Physics 2013-03-05 M. J. Gillan , D. Alfè , A. P. Bartók , G. Csányi

We propose a simple scheme to construct composition-dependent interatomic potentials for multicomponent systems that when superposed onto the potentials for the pure elements can reproduce not only the heat of mixing of the solid solution…

Materials Science · Physics 2012-01-31 B. Sadigh , P. Erhart , A. Stukowski , A. Caro

Structural survival of offshore structures is crucial for the growing marine economy. Calculating the added mass, radiation damping, and excitation coefficients to quantify wave loads with the traditional boundary element method (BEM)…

Atmospheric and Oceanic Physics · Physics 2026-05-20 Yinghui Bimali , Rebecca McCabe , Collin Treacy , Kapil Khanal , En Lo , Maha Haji

We present a novel energy-based localization procedure able to localize molecular orbitals into specific spatial regions. The method is applied to several cases including both conjugated and non-conjugated systems. The obtained localized…

Chemical Physics · Physics 2022-09-13 Tommaso Giovannini , Henrik Koch

We present an efficient implementation of ab initio many-body quantum embedding and local correlation methods for infinite periodic systems through translational symmetry adapted interpolative separable density fitting, an approach which…

Strongly Correlated Electrons · Physics 2026-01-26 Junjie Yang , Ning Zhang , Shunyue Yuan , Jincheng Yu , Hong-Zhou Ye , Garnet Chan

A framework for developing new approximate electronic structure methods is presented, in which the correlation energy of a many-electron system in the ground state is computed as in the single-reference second-order many-body perturbation…

Chemical Physics · Physics 2011-06-15 Dimitri Laikov

The very-low temperature thermal effective mass m* of paramagnetic and ferromagnetic electrons in a uniform electron fluid in two dimensions is studied. Analytical and numerical evaluations are used to meaningfully define an m*, even in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 M. W. C. Dharma-wardana

We present a molecular extension of our recently proposed Green's function embedding method, interacting-bath dynamical embedding theory (ibDET), for computing charged excitation energies at the $GW$ and EOM-CCSD levels. Starting from…

Chemical Physics · Physics 2026-04-06 Christian Venturella , Jiachen Li , Tianyu Zhu
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