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Meshless methods are commonly used to determine numerical solutions to partial differential equations (PDEs) for problems involving free surfaces and/or complex geometries, approximating spatial derivatives at collocation points via local…

Numerical Analysis · Mathematics 2025-10-24 H. Broadley , J. R. C. King , S. J. Lind

Solving partial differential equations (PDEs) with machine learning has recently attracted great attention, as PDEs are fundamental tools for modeling real-world systems that range from fundamental physical science to advanced engineering…

Machine Learning · Computer Science 2025-05-26 Changfan Yang , Lichen Bai , Yinpeng Wang , Shufei Zhang , Zeke Xie

The mean transverse momentum of produced particles, [pt], and its event-by-event fluctuations give direct access to the initial conditions of ultra-relativistic heavy-ion collisions and help probe the colliding nuclei's structure. The [pt]…

Nuclear Theory · Physics 2023-12-04 Emil Gorm Dahlbæk Nielsen , Frederik K. Rømer , Kristjan Gulbrandsen , You Zhou

Numerical approaches to the correlated electron problem have achieved considerable success, yet are still constrained by several bottlenecks, including high order polynomial or exponential scaling in system size, long autocorrelation times,…

Strongly Correlated Electrons · Physics 2022-12-14 S. Johnston , E. Khatami , R. T. Scalettar

Accurate solution of the many-electron problem including correlations remains intractable except for few-electron systems. Describing interacting electrons as a superposition of independent electron configurations results in an apparent…

Computational Physics · Physics 2024-02-20 J. C. Greer

Understanding strongly correlated systems is essential for advancing quantum chemistry and materials science, yet conventional methods like Density Functional Theory (DFT) often fail to capture their complex electronic behavior. To address…

Chemical Physics · Physics 2025-09-01 Archith Rayabharam , N. R. Aluru

This study presents two different machine learning approaches for the modeling of hydrodynamic force on particles in a particle-laden multiphase flow. Results from particle-resolved direct numerical simulations (PR-DNS) of flow over a…

Fluid Dynamics · Physics 2020-07-15 S. Balachandar , W. C. Moore , G. Akiki , K. Liu

We discuss a theoretical approach that employs machine learning potential energy surfaces (ML-PESs) in the nonadiabatic dynamics simulation of polyatomic systems by taking 6-aminopyrimidine as a typical example. The Zhu-Nakamura theory is…

Chemical Physics · Physics 2018-05-11 Deping Hu , Yu Xie , Xusong Li , Lingyue Li , Zhenggang Lan

Chemical reactions involve the movement of charges, and this work presents a mathematical model for describing chemical reactions in electrolytes. The model is developed using an energy variational method that aligns with classical…

Chemical Physics · Physics 2023-11-02 Shixin Xu , Robert Eisenberg , Zilong Song , Huaxiong Huang

Broadly speaking, the calculation of core spectra such as electron energy loss spectra (EELS) at the level of density functional theory (DFT) usually relies one of two approaches: conceptually more complex but computationally efficient…

We investigate the coupling of different quantum-embedding approaches with a third molecular-mechanics layer, which can be either polarizable or non-polarizable. In particular, such a coupling is discussed for the multilevel families of…

Chemical Physics · Physics 2020-12-11 Linda Goletto , Tommaso Giovannini , Sarai D. Folkestad , Henrik Koch

Methods for estimating the correlation energy of molecules and other electronic systems are discussed based on the assumption that the correlation energy can be partitioned between atomic regions. In one method, the electron density is…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

Ab initio modeling of electrochemical systems is becoming a key tool for understanding and predicting electrochemical behavior. Development and careful benchmarking of computational electrochemical methods are essential to ensure their…

Chemical Physics · Physics 2017-03-01 Ravishankar Sundararaman , Kathleen Schwarz

The dissociation of $\rm N_2$ and $\rm N_2^+$ has been studied by using the \emph{ab initio} Density Matrix Renormalization Group (DMRG) method. Accurate Potential Energy Surfaces (PES) have been obtained for the electronic ground states of…

Chemical Physics · Physics 2018-02-21 Christian Stemmle , Örs Legeza , Beate Paulus

Electronic transport properties for single-molecule junctions have been widely measured by several techniques, including mechanically controllable break junctions, electromigration break junctions or by means of scanning tunneling…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Ferdinand Evers , Richard Korytár , Sumit Tewari , Jan M. van Ruitenbeek

Multivalent ions in solutions with polyelectrolytes (PE) induce electrostatic correlations that can drastically change ion distributions around the PEs and their mutual interactions. Using coarse-grained molecular dynamics simulations, we…

Soft Condensed Matter · Physics 2023-04-26 Hossein Vahid , Alberto Scacchi , Maria Sammalkorpi , Tapio Ala-Nissila

While data science is battling to extract information from the enormous explosion of data, many estimators and algorithms are being developed for better prediction. Researchers and data scientists often introduce new methods and evaluate…

Applications · Statistics 2019-05-22 Raju Rimal , Trygve Almøy , Solve Sæbø

The multiscale model combining the multiconfigurational self-consistent field (MCSCF) method with the fully atomistic polarizable Fluctuating Charges (FQ) force field (J. Chem. Theory Comput. 2024, 20, 9954-9967) is here extended to the…

Chemical Physics · Physics 2025-11-14 Francesco Mazza , Marco Trinari , Chiara Sepali , Chiara Cappelli

Electrodynamical coupled cluster (CC) methodologies have been formulated employing standard QED Hamiltonian that is written in Coulomb gauge while using the DF and the MCDF pictures of the matter field for closed-shell and open-shell cases…

Quantum Physics · Physics 2024-01-15 Sambhu N. Datta

We present an exhaustive study of more than 250 ab initio potential energy surfaces (PESs) of the model dipeptide HCO-L-Ala-NH2. The model chemistries (MCs) used are constructed as homo- and heterolevels involving possibly different RHF and…

Quantitative Methods · Quantitative Biology 2013-06-21 Pablo Echenique , J. L. Alonso
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