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Three types of microscopic nucleus-nucleus optical potentials are constructed using three patterns for their real and imaginary parts. Two of these patterns are the real $V^H$ and imaginary $W^H$ parts of the potential which reproduces the…

Nuclear Theory · Physics 2007-05-23 K. M. Hanna , K. V. Lukyanov , V. K. Lukyanov , B. Slowinski , E. V. Zemlyanaya

In this work, we develop Gaussian process regression (GPR) models of hyperelastic material behavior. First, we consider the direct approach of modeling the components of the Cauchy stress tensor as a function of the components of the Finger…

Machine Learning · Statistics 2019-12-24 Ari Frankel , Reese Jones , Laura Swiler

An accurate description of atomic interactions, such as that provided by first principles quantum mechanics, is fundamental to realistic prediction of the properties that govern plasticity, fracture or crack propagation in metals. However,…

Materials Science · Physics 2014-03-14 Wojciech Jerzy Szlachta

Despite the increased computational resources, the simulation-based design optimization (SBDO) procedure can be very expensive from a computational viewpoint, especially if high-fidelity solvers are required. Multi-fidelity metamodels have…

Optimization and Control · Mathematics 2021-07-30 Simone Ficini , Umberto Iemma , Riccardo Pellegrini , Andrea Serani , Matteo Diez

We present here the first-principles dynamical CPA (coherent potential approximation) combined with the tight-binding LMTO LDA+U method towards quantitative calculations of the electronic structure and magnetism at finite temperatures in…

Strongly Correlated Electrons · Physics 2015-05-14 Y. Kakehashi , T. Tamashiro , M. A. R. Patoary , T. Nakamura

Taking into considerations the wide compositional stretch of Heusler alloys, the first principles density functional theory based calculations are excellently suitable for estimating the multifaceted properties of alkali metal based LiVSb…

Materials Science · Physics 2024-07-03 Diwaker , Shyam L. Gupta , Anupam , Sumit Kumar , Aadil Fayaz , Ashwani Kumar

Employing first principles electronic structure calculations in conjunction with the frozen-magnon method we calculate exchange interactions, spin-wave dispersion, and spin-wave stiffness constants in inverse-Heusler-based spin gapless…

Materials Science · Physics 2015-05-15 A. Jakobsson , P. Mavropoulos , E. Sasioglu , S. Blugel , M. Lezaic , B. Sanyal , I. Galanakis

Different ways of extracting parameters of interest from combined data sets of separate experiments are investigated accounting for the systematic errors. It is shown, that the frequentist approach may yield larger $\chi^2$ values when…

High Energy Physics - Experiment · Physics 2018-04-17 R. Orava , O. V. Selyugin

We present pseudo-potential coefficients for the first two rows of the periodic table. The pseudo potential is of a novel analytic form, that gives optimal efficiency in numerical calculations using plane waves as basis set. At most 7…

mtrl-th · Physics 2009-10-28 S. Goedecker , M. Teter , J. Hutter

For machine learning of interatomic potentials a scalable sparse Gaussian process regression formalism is introduced with a data-efficient on-the-fly adaptive sampling algorithm. With this approach, the computational cost is effectively…

Computational Physics · Physics 2021-06-09 Amir Hajibabaei , Chang Woo Myung , Kwang S. Kim

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

This paper proposes a new class of real-time optimization schemes to overcome system-model mismatch of uncertain processes. This work's novelty lies in integrating derivative-free optimization schemes and multi-fidelity Gaussian processes…

Machine Learning · Computer Science 2021-11-11 Panagiotis Petsagkourakis , Benoit Chachuat , Ehecatl Antonio del Rio-Chanona

This chapter provides a tutorial overview of first principles methods to describe the properties of matter at the ground state or equilibrium. It begins with a brief introduction to quantum and statistical mechanics for predicting the…

Computational Engineering, Finance, and Science · Computer Science 2020-10-14 Jianzhong Wu , Mengyang Gu

The efficient collection of samples is an important factor in outdoor information gathering applications on account of high sampling costs such as time, energy, and potential destruction to the environment. Utilization of available a-priori…

Robotics · Computer Science 2024-03-08 Nicholas Harrison , Nathan Wallace , Salah Sukkarieh

We present a detailed study of the derivation of the Hubbard model parameters for $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$ in the framework of {\it ab initio} Density Functional Theory. We show that calculations with different (i) wavefunction…

Strongly Correlated Electrons · Physics 2010-06-04 Harald O. Jeschke , Hem C. Kandpal , Ingo Opahle , Yu-Zhong Zhang , Roser Valenti

This paper gives a systematic method for constructing an N-body potential, approximating the true potential, that accurately captures meso-scale behavior of the chemical or biological system using pairwise potentials coming from…

Chemical Physics · Physics 2016-05-19 Gunjan S. Thakur , Ryan Mohr , Igor Mezić

Accurate knowledge of the properties of hydrogen at high compression is crucial for astrophysics (e.g. planetary and stellar interiors, brown dwarfs, atmosphere of compact stars) and laboratory experiments, including inertial confinement…

A number of diverse bulk properties of the zincblende and wurtzite III-V nitrides AlN, GaN, and InN, are predicted from first principles within density functional theory using the plane-wave ultrasoft pseudopotential method, within both the…

Materials Science · Physics 2009-10-31 A. Zoroddu , F. Bernardini , P. Ruggerone , V. Fiorentini

Machine-learning force fields have been increasingly employed in order to extend the possibility of current first-principles calculations. However, the transferability of the obtained potential can not always be guaranteed in situations…

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

Methodology · Statistics 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu
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