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Within quantum chemistry, the electron clouds that surround nuclei in atoms and molecules are sometimes treated as clouds of probability and sometimes as clouds of charge. These two roles, tracing back to Schr\"odinger and Born, are in…

Quantum Physics · Physics 2021-07-02 Charles T. Sebens

Understanding the properties of warm dense hydrogen is of key importance for the modeling of compact astrophysical objects and to understand and further optimize inertial confinement fusion (ICF) applications. The work horse of warm dense…

The electric vehicle (EV) and electric vehicle charging station (EVCS) have been widely deployed with the development of large-scale transportation electrifications. However, since charging behaviors of EVs show large uncertainties, the…

Systems and Control · Electrical Eng. & Systems 2023-01-25 Yuanzheng Li , Shangyang He , Yang Li , Leijiao Ge , Suhua Lou , Zhigang Zeng

Density functional theory and its optimization algorithm are the main methods to calculate the properties in the field of materials. Although the calculation results are accurate, it costs a lot of time and money. In order to alleviate this…

Materials Science · Physics 2021-09-21 Houchen Zuo , Yongquan Jiang , Yan Yang , Jie Hu

Electron is modeled as a spherically symmetric charged perfect fluid distribution of matter. The existing model is extended assuming a matter source that is characterized by quadratic EoS in the context of general theory of relativity. For…

General Relativity and Quantum Cosmology · Physics 2011-01-04 Farook Rahaman , Mubasher Jamil , Kaushik Chakraborty

We use density-matrix renormalization group, applied to a one-dimensional model of continuum Hamiltonians, to accurately solve chains of hydrogen atoms of various separations and numbers of atoms. We train and test a machine-learned…

Strongly Correlated Electrons · Physics 2016-12-28 Li Li , Thomas E. Baker , Steven R. White , Kieron Burke

In molecular simulations, neural network force fields aim at achieving \emph{ab initio} accuracy with reduced computational cost. This work introduces enhancements to the Deep Potential network architecture, integrating a message-passing…

Computational Physics · Physics 2024-04-09 Ruiqi Gao , Yifan Li , Roberto Car

One of the most powerful strategies to address properties of real many-body systems is to incorporate data obtained for models, for example, to use data of the homogeneous electron gas in order to build the Local Density Approximation for…

Materials Science · Physics 2026-05-05 Muhammed Hüseyin Güneş , Ayoub Aouina , Vitaly Gorelov , Matteo Gatti , Lucia Reining

Hybrid density functional calculation is indispensable to accurate description of electronic structure, whereas the formidable computational cost restricts its broad application. Here we develop a deep equivariant neural network method…

Materials Science · Physics 2023-02-17 Zechen Tang , He Li , Peize Lin , Xiaoxun Gong , Gan Jin , Lixin He , Hong Jiang , Xinguo Ren , Wenhui Duan , Yong Xu

We investigate the possibility of electrostatic potential saturation, which may lead to the phenomenon of effective charge saturation. The system under study is a uniformly charged infinite plane immersed in an arbitrary electrolyte made up…

Soft Condensed Matter · Physics 2007-05-23 Gabriel Tellez , Emmanuel Trizac

A deep neural network (DNN) has been developed to accurately predict nuclear charge density distributions for nuclei with proton numbers $Z \geq 8$. By incorporating essential nuclear structure features, the model achieves a significant…

Nuclear Theory · Physics 2026-04-17 Yun Dong Wang , Tian Shuai Shang , Hui Hui Xie , Peng Xiang Du , Jian Li , Haozhao Liang

Density functional theory (DFT) is the de facto approach for predicting self-consistent-field electronic structures of ground-state configurations of complex atoms, molecules, and solids and providing their property data for materials…

Materials Science · Physics 2024-01-30 Zi-Kui Liu

Materials representation plays a key role in machine learning based prediction of materials properties and new materials discovery. Currently both graph and 3D voxel representation methods are based on the heterogeneous elements of the…

Materials Science · Physics 2020-10-22 Yong Zhao , Kunpeng Yuan , Yinqiao Liu , Steph-Yves Louis , Ming Hu , Jianjun Hu

Accurate forecasting of battery health indicators, including remaining capacity and lifetime, is of paramount importance for ensuring the reliability, safety, and operational efficiency of applications such as electric vehicles and large…

Signal Processing · Electrical Eng. & Systems 2026-05-29 Athanasios Koukosias , Vasileios Tzanidakis , Sotiris Athanasiou , Kostas Kolomvatsos

Background: Precise measurements of atomic transitions affected by electron-nucleus hyperfine interactions offer sensitivity to explore basic properties of the atomic nucleus and study fundamental symmetries, including the search for new…

Nuclear Theory · Physics 2023-06-06 Paul-Gerhard Reinhard , Witold Nazarewicz

We demonstrate that the machine learning of density functionals allows one to determine simultaneously the equilibrium chemical potential across simulation datasets of inhomogeneous classical fluids. Minimization of a loss function based on…

Soft Condensed Matter · Physics 2026-02-11 Florian Sammüller , Matthias Schmidt

We train a neural network as the universal exchange-correlation functional of density-functional theory that simultaneously reproduces both the exact exchange-correlation energy and potential. This functional is extremely non-local, but…

Computational Physics · Physics 2019-10-10 Jonathan Schmidt , Carlos L. Benavides-Riveros , Miguel A. L. Marques

Precise probabilistic forecasts are fundamental for energy risk management, and there is a wide range of both statistical and machine learning models for this purpose. Inherent to these probabilistic models is some form of uncertainty…

Machine Learning · Computer Science 2025-10-10 Andreas Lebedev , Abhinav Das , Sven Pappert , Stephan Schlüter

We present a machine learning algorithm for the prediction of molecule properties inspired by ideas from density functional theory. Using Gaussian-type orbital functions, we create surrogate electronic densities of the molecule from which…

Chemical Physics · Physics 2019-11-27 Michael Eickenberg , Georgios Exarchakis , Matthew Hirn , Stéphane Mallat , Louis Thiry

In principle, machine learning (ML) can be used to obtain any electronic property of a many-body system from its electron density within density functional theory. However, some physical quantities are highly sensitive to small variations…

Materials Science · Physics 2026-02-19 L. Arnstein , J. Wetherell , R. Lawrence , P. J. Hasnip , M. J. P. Hodgson
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