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Molecular dynamics simulations of ionic solutions depend sensitively on the force fields employed for the ions. To resolve the fine differences between ions of the same valence and roughly similar size and in particular to correctly…

化学物理 · 物理学 2015-05-14 Maria Fyta , Immanuel Kalcher , Joachim Dzubiella , Lubos Vrbka , Roland R. Netz

We perform an error analysis for numerical approximation methods of continuous time Markov chain models commonly found in the chemistry and biochemistry literature. The motivation for the analysis is to be able to compare the accuracy of…

概率论 · 数学 2012-02-15 David F. Anderson , Arnab Ganguly , Thomas G. Kurtz

This paper provides an error estimate for the u-series method of the Coulomb interaction in molecular dynamics simulations. We show that the number of truncated Gaussians $M$ in the u-series and the base of interpolation nodes $b$ in the…

数值分析 · 数学 2025-01-07 Jiuyang Liang , Zhenli Xu , Qi Zhou

The all-order correlation potential method of accurate atomic structure calculations for atoms with one external electron is extended to include one more class of correlation diagrams to all orders. These are the so-called ladder diagrams…

原子物理 · 物理学 2010-09-20 V. A. Dzuba

The accurate description of doubly-excited states using conventional electronic structure methods is remarkably challenging, primarily because such excited states require the inclusion of doubly or higher excited configurations or the…

化学物理 · 物理学 2019-05-01 Katharina Boguslawski

An adaptation of the convergent close-coupling method (CCC) to calculation of differential ionization cross sections is analyzed in the context of the Temkin-Poet model. The asymptotic scattering wave functions and the unitarity relation…

原子物理 · 物理学 2009-10-31 Andris T. Stelbovics

We report in this paper an implementation of 4-component relativistic Hamiltonian based Equation-of-Motion Coupled-Cluster with singles and doubles (EOM-CCSD) theory for the calculation of ionization potential (IP), electron affinity (EA)…

化学物理 · 物理学 2018-11-09 Avijit Shee , Trond Saue , Lucas Visscher , Andre Severo Pereira Gomes

We propose and analyze a block coordinate descent proximal algorithm (BCD-prox) for simultaneous filtering and parameter estimation of ODE models. As we show on ODE systems with up to d=40 dimensions, as compared to state-of-the-art…

机器学习 · 计算机科学 2019-05-28 Ramin Raziperchikolaei , Harish S. Bhat

We develop and compare four interatomic potentials for iron: a simple machine-learned embedded atom method (EAM) potential, a potential with machine-learned two- and three-body-dependent terms, a potential with machine-learned EAM and…

Standard density functional approximations often give questionable results for odd-electron radical complexes, with the error typically attributed to self-interaction. In density corrected density functional theory (DC-DFT), certain classes…

化学物理 · 物理学 2015-06-19 Min-Cheol Kim , Eunji Sim , Kieron Burke

The unitary cluster Jastrow (UCJ) ansatz and its variant known as local UCJ (LUCJ) are promising choices for variational quantum algorithms for chemistry due to their combination of physical motivation and hardware efficiency. The…

量子物理 · 物理学 2025-12-01 Wan-Hsuan Lin , Fangchun Liang , Mario Motta , Haimeng Zhang , Kenneth M. Merz , Kevin J. Sung

In this paper, we obtain error bound for binomial and negative binomial approximations to weighted sums of locally dependent random variables, using Stein's method. We also discuss approximation results for weighted sums of independent…

概率论 · 数学 2020-10-20 Amit N. Kumar

Ni-Mo superalloys have emerged as materials of choice for a diverse array of applications owing to their superior mechanical properties, exceptional corrosion and oxidation resistance, electrocatalytic behavior, and surface stability.…

Covariance matrix estimates are an essential part of many signal processing algorithms, and are often used to determine a low-dimensional principal subspace via their spectral decomposition. However, exact eigenanalysis is computationally…

应用统计 · 统计学 2011-12-01 Nicholas Arcolano , Patrick J. Wolfe

The presented previously indirect optimization method (IOM) developed within biochemical systems theory (BST) provides a versatile and mathematically tractable optimization strategy for biochemical systems. However, due to the local…

定量方法 · 定量生物学 2007-06-13 Gongxian Xu , Cheng Shao , Zhilong Xiu

The selection of suitable ionic liquids (ILs) is critical for CO2 capture and electrocatalytic conversion into valuable chemical products. The screening process can be enhanced with theoretical simulations that reveal the…

化学物理 · 物理学 2025-08-14 Jikai Sun , Alejandro Gallegos , Runtong Pan , Jianzhong Wu

There are several approximations to the exchange-correlation functional in density-functional theory that accurately predict total energy-related properties of many-electron systems, such as binding energies, bond lengths, and crystal…

化学物理 · 物理学 2015-09-30 Eli Kraisler , Tobias Schmidt , Stephan Kümmel , Leeor Kronik

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…

原子物理 · 物理学 2020-07-01 Hans Jürgen Lüdde , Thilo Kalkbrenner , Marko Horbatsch , Tom Kirchner

Accurate local Kohn-Sham potentials have been constructed for the ground $1s^2 ^1S$ state and, in particular, for the lowest triplet $1s2s ^{3}S$ state of the helium atom, using electron densities from many-body calculations and the…

原子物理 · 物理学 2016-08-16 I. Lindgren , S. Salomonson , F. Möller

Quantum state and process tomography are typically analyzed under the assumption that devices emit independent and identically distributed (i.i.d.) states or channels. In realistic experiments, however, noise, drift, feedback, or…

量子物理 · 物理学 2026-02-26 Leonardo Zambrano