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We present an atomic cluster expansion (ACE) for carbon that improves over available classical and machine learning potentials. The ACE is parameterized from an exhaustive set of important carbon structures at extended volume and energy…

Materials Science · Physics 2023-06-13 Minaam Qamar , Matous Mrovec , Yury Lysogorskiy , Anton Bochkarev , Ralf Drautz

The atomic cluster expansion (ACE) efficiently parameterizes complex energy surfaces of pure elements and alloys. Due to the local nature of the many-body basis, ACE is inherently local or semilocal for graph ACE. Here, we employ…

Materials Science · Physics 2024-11-07 Matteo Rinaldi , Anton Bochkarev , Yury Lysogorskiy , Ralf Drautz

We develop a Magnetic Cluster Expansion (MCE) model for binary bcc and fcc Fe-Cr alloys, as well as for fcc Fe-Ni alloys, and apply it to the investigation of magnetic properties of these alloys over a broad interval of concentrations, and…

Materials Science · Physics 2015-06-17 M. Yu. Lavrentiev , D. Nguyen-Manh , J. Wrobel , S. L. Dudarev

The Atomic Cluster Expansion (ACE) (Drautz, Phys. Rev. B 99, 2019) has been widely applied in high energy physics, quantum mechanics and atomistic modeling to construct many-body interaction models respecting physical symmetries.…

Numerical Analysis · Mathematics 2024-01-08 Cheuk Hin Ho , Timon S. Gutleb , Christoph Ortner

We present a general-purpose parameterization of the atomic cluster expansion (ACE) for magnesium. The ACE shows outstanding transferability over a broad range of atomic environments and captures physical properties of bulk as well as…

Materials Science · Physics 2023-05-08 Eslam Ibrahim , Yury Lysogorskiy , Matous Mrovec , Ralf Drautz

A Magnetic Cluster Expansion (MCE) model for ternary face-centered cubic Fe-Ni-Cr alloys has been developed using DFT data spanning binary and ternary alloy configurations. Using this MCE model Hamiltonian, we perform Monte Carlo…

Materials Science · Physics 2016-11-24 M. Y. Lavrentiev , J. S. Wróbel , D. Nguyen-Manh , S. L. Dudarev , M. G. Ganchenkova

The Atomic Cluster Expansion (ACE) [R. Drautz, Phys. Rev. B, 99:014104 (2019)] provides a systematically improvable, universal descriptor for the environment of an atom that is invariant to permutation, translation and rotation. ACE is…

Computational Physics · Physics 2023-08-15 Christoph Ortner

Atomic cluster expansion (ACE) methods provide a systematic way to describe particle local environments of arbitrary body order. For practical applications it is often required that the basis of cluster functions be symmetrized with respect…

Materials Science · Physics 2024-02-27 James M. Goff , Charles Sievers , Mitchell A. Wood , Aidan P. Thompson

Machine learning interatomic potentials are revolutionizing large-scale, accurate atomistic modelling in material science and chemistry. Many potentials use atomic cluster expansion or equivariant message passing frameworks. Such frameworks…

Computational Physics · Physics 2024-07-31 Bingqing Cheng

The force field describing the calculated interaction between atoms or molecules is the key to the accuracy of many molecular dynamics (MD) simulation results. Compared with traditional or semi-empirical force fields, machine learning force…

Computational Physics · Physics 2023-06-28 Yongle Li , Feng Xu , Long Hou , Luchao Sun , Haijun Su , Xi Li , Wei Ren

Non-equilibrium molecular dynamics (NEMD) techniques are widely used for investigating lattice thermal conductivity. Recently, machine learning force fields (MLFFs) have emerged as a promising approach to enhance the precision in NEMD…

Materials Science · Physics 2023-09-21 Takumi Araki , Shinnosuke Hattori , Toshio Nishi , Yoshihiro Kudo

Equivariant atomistic machine learning models have largely been built on spherical-tensor representations, where explicit angular-momentum coupling introduces substantial complexity and systematic extensions beyond energies and forces…

Machine Learning · Statistics 2026-03-09 Zemin Xu , Wenbo Xie , P. Hu

We study the convergence of a linear atomic cluster expansion (ACE) potential with respect to its basis functions, in terms of the effective two-body interactions of elemental Carbon and Silicon systems. We build ACE potentials with…

Computational Physics · Physics 2025-07-30 Apolinario Miguel Tan , Franco Pellegrini , Stefano de Gironcoli

The atomic cluster expansion (ACE) has been highly successful for the parameterisation of symmetric (invariant or equivariant) properties of many-particle systems. Here, we generalize its derivation to anti-symmetric functions. We show how…

Materials Science · Physics 2022-06-24 Ralf Drautz , Christoph Ortner

Insight into structural and thermodynamic properties of nanoparticles is crucial for designing optimal catalysts with enhanced activity and stability. We present a semi-automated workflow for parameterizing the atomic cluster expansion…

Density functional theory (DFT)-based simulations of materials have first-principles accuracy, but are very computationally expensive. For simulating various properties of multi-component alloys, the cluster expansion (CE) technique has…

Materials Science · Physics 2026-04-01 Jacob Jeffries , Bochuan Sun , Enrique Martinez

The unique properties exhibited in immiscible metals, such as excellent strength, hardness, and radiation-damage tolerance, have stimulated the interest of many researchers. As a typical immiscible metal system, the Cu-W nano-multilayers…

Materials Science · Physics 2024-07-02 Jiahao Pan , Huiqun Cheng , Gaosheng Yan , Lei Zhang , Wenshan Yu , Shengping Shen

The atomic cluster expansion (ACE) (Drautz, 2019) yields a highly efficient and intepretable parameterisation of symmetric polynomials that has achieved great success in modelling properties of many-particle systems. In the present work we…

Computational Physics · Physics 2023-05-05 Dexuan Zhou , Huajie Chen , Cheuk Hin Ho , Christoph Ortner

Using a first principles based, magnetic tight-binding total energy model, the magnetization energy and moments are computed for various ordered spin configurations in the high pressure polymorphs of iron (fcc, or $\gamma$-Fe, and hcp, or…

Materials Science · Physics 2009-11-10 R. E. Cohen

For face-centered cubic (fcc) and tetragonal (fct) iron a large number of magnetic configurations as a function of crystal structural parameters were studied by means of density functional theory. The stability of magnetic structures was…

Materials Science · Physics 2015-06-18 D. Reith , R. Podloucky , M. Marsman , P. O. Bedolla-Velazquez , P. Mohn
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