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The computational acceleration of orbital-invariant local correlation methods on graphics processing units (GPUs) has remained largely unexplored due to substantial algorithmic complexities. The runtime efficiency of GPU-implemented local…

化学物理 · 物理学 2026-03-18 Qiujiang Liang , Jun Yang

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…

强关联电子 · 物理学 2021-08-11 Vibin Abraham , Nicholas Mayhall

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…

化学物理 · 物理学 2023-10-09 Enhua Xu , Yuma Shimomoto , Seiichiro L. Ten-no , Takashi Tsuchimochi

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…

化学物理 · 物理学 2019-11-21 Srimukh Prasad Veccham , Joonho Lee , Martin Head-Gordon

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…

化学物理 · 物理学 2017-09-13 Kun Yao , John E. Herr , John Parkhill

We show how an embedded many-body expansion (EMBE) can be used to calculate accurate \emph{ab initio} energies of water clusters and ice structures using wavefunction-based methods. We use the EMBE described recently by Bygrave \emph{et…

材料科学 · 物理学 2015-06-16 M. J. Gillan , D. Alfe , P. J. Bygrave , C. R. Taylor , F. R. Manby

We propose an exact algorithm for computing the analytical gradient within the framework of the orbital-specific-virtual (OSV) second-order M{\o}ller-Plesset (MP2) theory in resolution-of-identity (RI) approximation. We implement the exact…

化学物理 · 物理学 2019-12-17 Ruiyi Zhou , Qiujiang Liang , Jun Yang

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…

数值分析 · 数学 2025-09-25 James Barker , Michael Griebel , Jan Hamaekers

In this paper, we propose a time-fractional molecular beam epitaxy (MBE) model with slope selection and its efficient, accurate, full discrete, linear numerical approximation. The numerical scheme utilizes the fast algorithm for the Caputo…

数值分析 · 数学 2020-01-08 Lizhen Chen , Jia Zhao , Waixiang Cao , Hong Wang , Jiwei Zhang

We develop and test methods that include second and third-order perturbation theory (MP3) using orbitals obtained from regularized orbital-optimized second-order perturbation theory, $\kappa$-OOMP2, denoted as MP3:$\kappa$-OOMP2. Testing…

化学物理 · 物理学 2019-10-15 Luke W. Bertels , Joonho Lee , Martin Head-Gordon

In this second part of our series on the recently proposed many-body expanded full configuration interaction (MBE-FCI) method, we introduce the concept of multideterminantal expansion references. Through theoretical arguments and numerical…

化学物理 · 物理学 2019-09-23 Janus J. Eriksen , Jürgen Gauss

Quantum chemical methods dealing with challenging systems while retaining low computational costs have attracted attention. In particular, many efforts have been devoted to developing new methods based on the second-order perturbation that…

化学物理 · 物理学 2023-10-30 Nhan Tri Tran , Hoang Thanh Nguyen , Lan Nguyen Tran

We present a wide-reaching revamp of the generalized many-body expanded full configuration interaction (MBE-FCI) method. First, we outline how to automatize the selection of reference active spaces whereby the inherent bias introduced…

化学物理 · 物理学 2024-06-18 Jonas Greiner , Jürgen Gauss , Janus J. Eriksen

Treating electron correlation more accurately and efficiently is at the heart of the development of electronic structure methods. In the present work, we explore the use of stochastic approaches to evaluate high-order electron correlation…

化学物理 · 物理学 2020-01-29 Zhendong Li

Accurate treatment of the long-range electron correlation energy, including van der Waals (vdW) or dispersion interactions, is essential for describing the structure, dynamics, and function of a wide variety of systems. Among the most…

We present a novel implementation of the complete active space self-consistent field (CASSCF) method that makes use of the many-body expanded full configuration interaction (MBE-FCI) method to incrementally approximate electronic structures…

Many-body dispersion (MBD) is a powerful framework to treat van der Waals (vdW) dispersion interactions in density-functional theory and related atomistic modeling methods. Several independent implementations of MBD with varying degree of…

Relativistic third-order MBPT is applied to obtain energies of ions with two valence electrons in the no virtual-pair approximation (NVPA). A total of 302 third-order Goldstone diagrams are organized into 12 one-body and 23 two-body terms.…

原子物理 · 物理学 2009-11-11 H. C. Ho , W. R. Johnson , S. A. Blundell , M. S. Safronova

The multipole-expansion (MPE) model is an implicit solvation model used to efficiently incorporate solvent effects in quantum chemistry. Even within the recent direct approach, the multipole basis used in MPE to express the dielectric…

化学物理 · 物理学 2021-12-10 Jakob Filser , Karsten Reuter , Harald Oberhofer

We report successful implementation of the time-dependent second-order many-body perturbation theory using optimized orthonormal orbital functions called time-dependent optimized second-order many-body perturbation theory [TD-OMP2] to reach…

化学物理 · 物理学 2020-08-26 Himadri Pathak , Takeshi Sato , Kenichi L. Ishikawa
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