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In this contribution I critically revise the alchemical reversible approach in the context of the statistical mechanics theory of non covalent bonding in drug receptor systems. I show that most of the pitfalls and entanglements for the…

Biomolecules · Quantitative Biology 2016-06-29 Piero Procacci

Charge density is central to density functional theory (DFT), as it fully defines the ground-state properties of a material system. Obtaining it with high accuracy is a computational bottleneck. Existing machine learning models are…

Materials Science · Physics 2025-09-30 Xuejian Qin , Taoyuze Lv , Zhicheng Zhong

Holas, Howard and March [Phys. Lett. A {\bf 310}, 451 (2003)] have obtained analytic solutions for ground-state properties of a whole family of two-electron spin-compensated harmonically confined model atoms whose different members are…

Quantum Physics · Physics 2009-11-13 T. A. Niehaus , S. Suhai , N. H. March

Controlling electrochemical reactivity requires a detailed understanding of the charging behavior and thermodynamics of the electrochemical interface. Experiments can independently probe the overall charge response of the electrochemical…

Chemical Physics · Physics 2022-03-10 Abhishek Shandilya , Kathleen Schwarz , Ravishankar Sundararaman

We present a general mathematical procedure to handle interactions described by a Morse potential in the presence of a strong harmonic excitation. We account for permanent and field-induced terms and their gradients in the dipole moment…

Atomic Physics · Physics 2023-07-19 Sándor Varró , Szabolcs Hack , Gábor Paragi , Péter Földi , Imre F. Barna , Attila Czirják

A binary embedded-atom method (EAM) potential is optimized for Cu on Ag(111) by fitting to ab initio data. The fitting database consists of DFT calculations of Cu monomers and dimers on Ag(111), specifically their relative energies, adatom…

Materials Science · Physics 2010-05-28 Henry H. Wu , Dallas R. Trinkle

Application of Genetic Algorithm (GA) for determination of parameters of an analytical representation of diatomic molecule potential is presented. GA can be used for finding potential characteristics of an electronic energy state which can…

Chemical Physics · Physics 2020-05-12 Tomasz Urbanczyk , Jaroslaw Koperski

The process of deriving an interatomic potentials represents an attempt to integrate out the electronic degrees of freedom from the full quantum description of a condensed matter system. In practice it is the derivatives of the interatomic…

Materials Science · Physics 2016-06-23 G. J. Ackland

We present a simple, yet general, end-to-end deep neural network representation of the potential energy surface for atomic and molecular systems. This methodology, which we call Deep Potential, is "first-principle" based, in the sense that…

Computational Physics · Physics 2020-07-20 Jiequn Han , Linfeng Zhang , Roberto Car , Weinan E

We propose a framework to learn the time-dependent Hartree-Fock (TDHF) inter-electronic potential of a molecule from its electron density dynamics. Though the entire TDHF Hamiltonian, including the inter-electronic potential, can be…

Chemical Physics · Physics 2024-12-05 Harish S. Bhat , Prachi Gupta , Christine M. Isborn

Many physical properties of metals can be understood in terms of the free electron model, as proven by the Wiedemann-Franz law. According to this model, electronic thermal conductivity ($\kappa_{el}$) can be inferred from the Boltzmann…

Materials Science · Physics 2016-09-07 Sheng-Ying Yue , Xiaoliang Zhang , Stephen Stackhouse , Guangzhao Qin , Edoardo Di Napoli , Ming Hu

In simulations of metallic interfaces, a critical aspect of metallic behavior is missing from the some of the most widely used classical molecular dynamics force fields. We present a modification of the embedded atom method (EAM) which…

Materials Science · Physics 2019-04-02 Hemanta Bhattarai , Kathie E. Newman , J. Daniel Gezelter

The electronic structure of an atom with Z <= 137 can be described by the Dirac equation with the Coulomb field of a point charge Ze. It was believed that the Dirac equation with Z > 137 is inconsistent and physically meaningless because…

Mathematical Physics · Physics 2012-05-02 D. M. Gitman , A. D. Levin , I. V. Tyutin , B. L. Voronov

In this work we exploit the universal approximation property of Neural Networks (NNs) to design interconnection and damping assignment (IDA) passivity-based control (PBC) schemes for fully-actuated mechanical systems in the port-Hamiltonian…

Systems and Control · Electrical Eng. & Systems 2022-03-28 Santiago Sanchez-Escalonilla , Rodolfo Reyes-Baez , Bayu Jayawardhana

Solving physics problems for which we know the equations, boundary conditions and symmetries can be done by deep learning. The constraints can be either imposed as terms in a loss function or used to formulate a neural ansatz. In the…

Classical Physics · Physics 2021-05-21 Zhe Wang , Claude Guet

The band alignment (BA) between two materials is a fundamental property that governs the functionality and performance of electronic, as well as electrochemical, devices. However, despite decades of study, the inability to separate surface…

Materials Science · Physics 2024-09-26 Zeyu Jiang , Damien West , Shengbai Zhang

A relativistic version of the effective charge model for computation of observable characteristics of multi-electron atoms and ions is developed. A complete and orthogonal Dirac hydrogen basis set, depending on one parameter -- effective…

Atomic Physics · Physics 2020-07-10 K. Dzikowski , O. D. Skoromnik , I. D. Feranchuk , N. S. Oreshkina , C. H. Keitel

Electron-electron interactions and correlations form the basis of difficulties encountered in the theoretical solution of problems dealing with multi-electron systems. Accurate treatment of the electron-electron problem is likely to unravel…

Quantum Physics · Physics 2022-03-24 E. O. Jobunga

Various properties of the general two-center two-electron integral over the explicitly correlated exponential function are analyzed for the potential use in high precision calculations for diatomic molecules. A compact one dimensional…

Chemical Physics · Physics 2015-06-11 Krzysztof Pachucki

A general procedure for the optimization of atomic density-fitting basis functions is designed with the balance between accuracy and numerical stability in mind. Given one-electron wavefunctions and energies, weights are assigned to the…

Chemical Physics · Physics 2020-10-13 Dimitri N. Laikov
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