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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…

材料科学 · 物理学 2023-06-13 Minaam Qamar , Matous Mrovec , Yury Lysogorskiy , Anton Bochkarev , Ralf Drautz

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.…

数值分析 · 数学 2024-01-08 Cheuk Hin Ho , Timon S. Gutleb , Christoph Ortner

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…

材料科学 · 物理学 2024-11-07 Matteo Rinaldi , Anton Bochkarev , Yury Lysogorskiy , Ralf Drautz

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…

材料科学 · 物理学 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…

计算物理 · 物理学 2024-07-31 Bingqing Cheng

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…

计算物理 · 物理学 2023-08-15 Christoph Ortner

Traditionally, interatomic potentials assume local bond formation supplemented by long-range electrostatic interactions when necessary. This ignores intermediate range multi-atom interactions that arise from the relaxation of the electronic…

材料科学 · 物理学 2022-11-07 Anton Bochkarev , Yury Lysogorskiy , Christoph Ortner , Gábor Csányi , Ralf Drautz

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…

材料科学 · 物理学 2022-06-24 Ralf Drautz , Christoph Ortner

Machine-learned interatomic potentials enable large systems to be simulated for long time scales at near ab-initio accuracy. This accuracy is achieved by fitting extremely flexible model architectures to high quality reference data. In…

The silicon-hydrogen system is of key interest for solar-cell devices, including both crystalline and amorphous modifications. Elemental amorphous Si is now well understood, but the atomic-scale effects of hydrogenating the silicon matrix…

材料科学 · 物理学 2025-10-20 Louise A. M. Rosset , Volker L. Deringer

The Atomic Cluster Expansion (ACE) provides a formally complete basis for the local atomic environment. ACE is not limited to representing energies as a function of atomic positions and chemical species, but can be generalized to vectorial…

材料科学 · 物理学 2023-05-25 Matteo Rinaldi , Matous Mrovec , Anton Bochkarev , Yury Lysogorskiy , Ralf Drautz

Cluster expansion (CE) is effective in modeling the stability of metallic alloys, but sometimes cluster expansions fail. Failures are often attributed to atomic relaxation in the DFT-calculated data, but there is no metric for quantifying…

材料科学 · 物理学 2017-07-19 Andrew H. Nguyen , Conrad W. Rosenbrock , C. Shane Reese , Gus L. W. Hart

The atomic cluster expansion is a general polynomial expansion of the atomic energy in multi-atom basis functions. Here we implement the atomic cluster expansion in the performant C++ code \verb+PACE+ that is suitable for use in large scale…

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…

计算物理 · 物理学 2023-05-05 Dexuan Zhou , Huajie Chen , Cheuk Hin Ho , Christoph Ortner

Molecule-optimized basis sets, based on approximate natural orbitals, are developed for accelerating the convergence of quantum calculations with strongly correlated (multi-referenced) electrons. We use a low-cost approximate solution of…

化学物理 · 物理学 2014-02-12 Gergely Gidofalvi , David A. Mazziotti

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…

材料科学 · 物理学 2023-05-08 Eslam Ibrahim , Yury Lysogorskiy , Matous Mrovec , Ralf Drautz

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…

材料科学 · 物理学 2026-04-01 Jacob Jeffries , Bochuan Sun , Enrique Martinez

We show that cluster expansions (CE), previously used to model solid-state materials with binary or ternary configurational disorder, can be extended to the protein design problem. We present a generalized CE framework, in which properties…

生物物理 · 物理学 2015-11-17 Fei Zhou , Gevorg Grigoryan , Steve R. Lustig , Amy E. Keating , Gerbrand Ceder , Dane Morgan

In alloys cluster expansions (CE) are increasingly used to combine first-principles electronic-structure and Monte Carlo methods to predict thermodynamic properties. As a basis-set expansion in terms of lattice geometrical clusters and…

材料科学 · 物理学 2017-11-28 Nikolai A. Zarkevich , D. D. Johnson

Cluster expansions are commonly employed as surrogate models to link the electronic structure of an alloy to its finite-temperature properties. Using cluster expansions to model materials with several alloying elements is challenging due to…

材料科学 · 物理学 2025-01-31 Yann L. Müller , Anirudh Raju Natarajan
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