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We present a computational framework for modeling large-scale particle-laden flows in complex domains with the goal of enabling simulations in medical-image derived patient specific geometries. The framework is based on a volume-filtered…

Fluid Dynamics · Physics 2023-11-28 Abhilash Reddy Malipeddi , C. Alberto Figueroa , Jesse Capecelatro

The present document focuses on the theoretical foundations of the nuclear energy density functional (EDF) method. As such, it does not aim at reviewing the status of the field, at covering all possible ramifications of the approach or at…

Nuclear Theory · Physics 2015-06-17 T. Duguet

Neural network force fields have significantly advanced ab initio atomistic simulations across diverse fields. However, their application in the realm of magnetic materials is still in its early stage due to challenges posed by the subtle…

Materials Science · Physics 2024-02-08 Zilong Yuan , Zhiming Xu , He Li , Xinle Cheng , Honggeng Tao , Zechen Tang , Zhiyuan Zhou , Wenhui Duan , Yong Xu

We propose a new molecular simulation framework that combines the transferability, robustness and chemical flexibility of an ab initio method with the accuracy and efficiency of a machine learned force field. The key to achieve this mix is…

Computational Physics · Physics 2020-01-08 Sebastian Dick , Marivi Fernandez-Serra

We seek to obtain a usable form of the nuclear energy density functional that is rooted in the modern theory of nuclear forces. We thus consider a functional obtained from the density matrix expansion of local nuclear potentials from chiral…

Nuclear Theory · Physics 2018-05-23 R. Navarro Perez , N. Schunck , A. Dyhdalo , R. J. Furnstahl , S. K. Bogner

Nuclear density functional theory (DFT) is the only microscopic, global approach to the structure of atomic nuclei. It is used in numerous applications, from determining the limits of stability to gaining a deep understanding of the…

Nuclear Theory · Physics 2015-02-06 Nicolas Schunck , Jordan D. McDonnell , Jason Sarich , Stefan M. Wild , Dave Higdon

Quantum chemical calculations of the ground-state properties of positron-molecule complexes are challenging. The main difficulty lies in employing an appropriate basis set for representing the coalescence between electrons and a positron.…

Computational Physics · Physics 2024-02-08 G. Cassella , W. M. C. Foulkes , D. Pfau , J. S. Spencer

Density functional theory (DFT) is one of the main methods in Quantum Chemistry that offers an attractive trade off between the cost and accuracy of quantum chemical computations. The electron density plays a key role in DFT. In this work,…

Chemical Physics · Physics 2018-09-11 Anton V. Sinitskiy , Vijay S. Pande

Nuclear quantum effects and non-Born--Oppenheimer effects play a vital role in many chemical and biological processes, motivating the incorporation of such effects into dynamical simulations. In real-time nuclear--electronic orbital…

Chemical Physics · Physics 2026-05-27 Nicholas J. Boyer , Sharon Hammes-Schiffer

We demonstrate that a committee of deep neural networks is capable of predicting the ground-state and excited energies of more than 1800 atomic nuclei with an accuracy akin to the one achieved by state-of-the-art nuclear energy density…

Nuclear Theory · Physics 2020-04-29 R. -D. Lasseri , D. Regnier , J. -P. Ebran , A. Penon

Background: An electron localization function was originally introduced to visualize bond structures in molecules. It became a useful tool to describe electron configurations in atoms, molecules and solids. In nuclear physics, a nucleon…

Nuclear Theory · Physics 2020-10-09 Tong Li , Mengzhi Chen , Chunli Zhang , Witold Nazarewicz , Markus Kortelainen

Nucleon density distributions and nucleus-nucleus interaction potentials for the reactions $^{16}$O+$^{40}$Ca, $^{16}$O+$^{56}$Fe and $^{16}$O+$^{90}$Zr have been calculated in the framework of the modified Thomas-Fermi method and…

Nuclear Theory · Physics 2023-01-12 V. A. Nesterov , O. I. Davydovska , V. Yu. Denisov

Based on the Skyrme-Hartree-Fock model (SHF) as well as its extension (the Korea-IBS-Daegu-SKKU (KIDS) model) and the relativistic mean-field (RMF) model, we have studied the constraints on the parameters of the nuclear matter equation of…

Nuclear Theory · Physics 2023-05-17 Jia Zhou , Jun Xu , Panagiota Papakonstantinou

Improving the predictive capability of molecular properties in ab initio simulations is essential for advanced material discovery. Despite recent progress making use of machine learning, utilizing deep neural networks to improve quantum…

Chemical Physics · Physics 2021-09-22 Muhammad F. Kasim , Sam M. Vinko

The Dynamic Nelson--Siegel (DNS) model is a widely used framework for term structure forecasting. We propose a novel extension that models DNS residuals as a Gaussian random field, capturing dependence across both time and maturity. The…

Applications · Statistics 2026-01-01 Qihao Duan , Alexandre B. Simas , David Bolin , Raphaël Huser

Elasticities in depth, width, kernel size and resolution have been explored in compressing deep neural networks (DNNs). Recognizing that the kernels in a convolutional neural network (CNN) are 4-way tensors, we further exploit a new…

Machine Learning · Computer Science 2021-05-11 Jie Ran , Rui Lin , Hayden K. H. So , Graziano Chesi , Ngai Wong

Semiclassical expansions derived in the framework of the Extended Thomas-Fermi approach for the kinetic energy density tau(r) and the spin-orbit density J(r) as functions of the local density rho(r) are used to determine the central nuclear…

Nuclear Theory · Physics 2007-05-23 J. Bartel , K. Bencheikh

The global behavior of the nuclear equation of state (EoS) is commonly studied using data from finite nuclei (FN), heavy-ion collisions, and astrophysical observations of neutron stars (NS). The constraints derived from FN such as binding…

Nuclear Theory · Physics 2026-04-10 Anagh Venneti , Chiranjib Mondal , Sk Md Adil Imam , Sarmistha Banik , Bijay K. Agrawal

Modern deep networks are heavily overparameterized yet often generalize well, suggesting a form of low intrinsic complexity not reflected by parameter counts. We study this complexity at initialization through the effective rank of the…

Machine Learning · Computer Science 2025-12-02 Praveen Anilkumar Shukla
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