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A quantitative first-principles description of complex substitutional materials like alloys is challenging due to the vast number of configurations and the high computational cost of solving the quantum-mechanical problem. Therefore,…

Materials Science · Physics 2025-06-24 Adrian Stroth , Claudia Draxl , Santiago Rigamonti

Materials exhibiting a substitutional disorder such as multicomponent alloys and mixed metal oxides/oxyfluorides are of great importance in many scientific and technological sectors. Disordered materials constitute an overwhelmingly large…

The Cluster Expansion (CE) Method encounters significant computational challenges in multicomponent systems due to the computational expense of generating training data through density functional theory (DFT) calculations. This work aims to…

Materials Science · Physics 2024-12-10 Guillermo Vazquez , Daniel Sauceda , Raymundo Arróyave

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

Crystalline alloys and related mixed systems make up a large family of materials with high tunability which have been proposed as the solution to a large number of energy related materials design problems. Due to the presence of chemical…

Materials Science · Physics 2025-01-28 Pernilla Ekborg-Tanner , Petter Rosander , Erik Fransson , Paul Erhart

Long-standing challenges in cluster expansion (CE) construction include choosing how to truncate the expansion and which crystal structures to use for training. Compressive sensing (CS), which is emerging as a powerful tool for model…

Materials Science · Physics 2013-10-30 Lance J Nelson , Vidvuds Ozolins , Shane Reese , Fei Zhou , Gus L. W. Hart

Identifying a suitable set of descriptors for modeling physical systems often utilizes either deep physical insights or statistical methods such as compressed sensing. In statistical learning, a class of methods known as structured sparsity…

Materials Science · Physics 2019-10-30 Zhidong Leong , Teck Leong Tan

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

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…

Materials Science · Physics 2017-11-28 Nikolai A. Zarkevich , D. D. Johnson

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

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…

Biological Physics · Physics 2015-11-17 Fei Zhou , Gevorg Grigoryan , Steve R. Lustig , Amy E. Keating , Gerbrand Ceder , Dane Morgan

Machine-learning-based interatomic potentials enable accurate materials simulations on extended time- and lengthscales. ML potentials based on the Atomic Cluster Expansion (ACE) framework have recently shown promising performance for this…

Computational Physics · Physics 2024-08-02 Daniel F. Thomas du Toit , Yuxing Zhou , Volker L. Deringer

Lattice models parameterized using first-principles calculations constitute an effective framework to simulate the thermodynamic behavior of physical systems. The cluster expansion method is a flexible lattice-based method used extensively…

Materials Science · Physics 2023-01-09 Luis Barroso-Luque , Gerbrand Ceder

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…

Materials Science · Physics 2017-07-19 Andrew H. Nguyen , Conrad W. Rosenbrock , C. Shane Reese , Gus L. W. Hart

The detailed analysis of molecular structures and properties holds great potential for drug development discovery through machine learning. Developing an emergent property in the model to understand molecules would broaden the horizons for…

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 novel cluster-expansion (CE) approach for the first-principles modeling of temperature and concentration dependent alloy properties. While the standard CE method includes temperature effects only via the configurational entropy…

Materials Science · Physics 2013-05-30 D. Reith , M. Stöhr , R. Podloucky , T. C. Kerscher , S. Müller

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

Multi-principal element alloys (MPEAs), also known as high-entropy alloys, have garnered significant interest across many applications due to their exceptional properties. Equilibrium vacancy concentrations in MPEAs influence diffusion and…

Materials Science · Physics 2026-03-26 Damien K. J. Lee , Yann L. Müller , Anirudh Raju Natarajan

The design of new High Entropy Alloys that can achieve exceptional mechanical properties is presently of great interest to the materials science community. However, due to the difficulty of designing these alloys using traditional methods,…

Materials Science · Physics 2023-01-03 Arindam Debnath , Wesley F Reinhart
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