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High-entropy alloys, which exist in the high-dimensional composition space, provide enormous unique opportunities for realizing unprecedented structural and functional properties. A fundamental challenge, however, lies in how to predict the…

Materials Science · Physics 2021-05-20 Jie Qi , Andrew M. Cheung , S. Joseph Poon

The development of machine learning sheds new light on the traditionally complicated problem of thermodynamics in multicomponent alloys. Successful application of such a method, however, strongly depends on the quality of the data and…

Materials Science · Physics 2019-06-10 Xianglin Liu , Jiaxin Zhang , Markus Eisenbach , Yang Wang

This chapter presents an innovative framework for the application of machine learning and data analytics for the identification of alloys or composites exhibiting certain desired properties of interest. The main focus is on alloys and…

Materials Science · Physics 2020-12-15 Baldur Steingrimsson , Xuesong Fan , Anand Kulkarni , Michael C. Gao , Peter K. Liaw

High-entropy alloys are widely modeled as homogeneously mixed surfaces, yet the validity of this assumption for catalytic prediction remains unclear. Here, we reproduce high-throughput experimental measurements using thermodynamic…

Materials Science · Physics 2026-04-29 Taegyeong Kim , Youngtak Kim , Sathya Sheela Subramanian , Geun Ho Gu

The growing need for structural materials with strength, mechanical stability, and durability in extreme environments is driving the development of high entropy alloys. These are materials with near equiatomic mixing of five or more…

Materials Science · Physics 2025-09-18 Rahul Bouri , Manikantan R. Nair , Tribeni Roy

High entropy alloys add a new dimension, atomic-scale randomness and the associated scale-dependent composition fluctuations, to the traditional metallurgical axes of time-temperature-composition-microstructure. Alloy performance is…

Materials Science · Physics 2020-09-25 Wolfram Georg Nöhring , W. A. Curtin

Local chemical order (LCO) is a key descriptor linking composition, atomic arrangement, and function in high-entropy alloys (HEAs), yet remains difficult to quantify. This Perspective highlights how X-ray absorption spectroscopy (XAS)…

Materials Science · Physics 2026-02-24 David Morris , Yonggang Yao , Peng Zhang

Phase diagrams exhibiting extended solid-solution and lens-like melting are often reproduced using ideal solutions, where ideal mixing considers a fully random configurational entropy of mixing. In the field of irreversible thermodynamics,…

Materials Science · Physics 2024-02-06 Jonathan Paras , Antoine Allanore

High-entropy alloys have attracted attention for their exceptional mechanical properties and thermal stability. However, the combinatorial explosion in the number of possible elemental compositions renders traditional trial-and-error…

Materials Science · Physics 2025-04-30 Ryo Murakami , Seiji Miura , Akihiro Endo , Satoshi Minamoto

Whether a system is to be considered complex or not depends on how one searches for correlations. We propose a general scheme for calculation of entropies in lattice systems that has high flexibility in how correlations are successively…

Statistical Mechanics · Physics 2015-06-18 Torbjørn Helvik , Kristian Lindgren

We introduce an exactly solvable lattice model that reveals a universal finite-size scaling law for configurational entropy driven purely by geometry. Using exact enumeration via Burnside's lemma, we compute the entropy for diverse 1D, 2D,…

Statistical Mechanics · Physics 2025-07-29 Youshen Wu , Xin Guan , Shengli Zhang , Lei Zhang

High-entropy alloys are solid solutions of multiple principal elements, capable of reaching composition and feature regimes inaccessible for dilute materials. Discovering those with valuable properties, however, relies on serendipity, as…

Multi-principle element alloys have enormous potential, but their exploration suffers from the tremendously large range of configurations. In the last decade such alloys have been designed with a focus on random solid solutions. Here we…

Materials Science · Physics 2017-02-15 Lukasz Rogal , Piotr Bobrowski , Fritz Koermann , Sergiy Divinski , Frank Stein , Blazej Grabowski

We introduce a simplified method to model the interatomic interactions of high entropy alloys based on a lookup table of cluster energies. These interactions are employed in replica exchange Monte Carlo simulations with histogram analysis…

Materials Science · Physics 2022-12-06 Andrew D. Kim , Michael Widom

High-entropy alloys are characterized by high configurational entropy. Since the discovery of high-entropy alloys (HEA) in 2004, entropy engineering has provided a promising direction for exploiting composition, lattice disorder, band…

Materials Science · Physics 2019-11-12 S. Joseph Poon , Jian He

Recently, high-entropy alloys (HEAs) have attracted wide attention due to their extraordinary materials properties. A main challenge in identifying new HEAs is the lack of efficient approaches for exploring their huge compositional space.…

Materials Science · Physics 2019-05-07 Tatiana Kostiuchenko , Fritz Körmann , Jörg Neugebauer , Alexander Shapeev

High entropy alloys (HEA) show promise as a new type of high-performance structural material. Their vast degrees of freedom provide for extensive opportunities to design alloys with tailored properties. However, the compositional…

Disordered Systems and Neural Networks · Physics 2019-04-19 Qi Jie , Andrew Cheung , S. Joseph Poon

Preserving biodiversity and ecosystem stability is a challenge that can be pursued through modern statistical mechanics modeling. Here we introduce a variational maximum entropy-based algorithm to evaluate the entropy in a minimal ecosystem…

Biological Physics · Physics 2018-10-17 Mattia Miotto , Lorenzo Monacelli

We consider lattice gas automata where the lack of semi-detailed balance results from node occupation redistribution ruled by distant configurations; such models with nonlocal interactions are interesting because they exhibit non-ideal gas…

Statistical Mechanics · Physics 2016-08-31 Olivier Tribel , Jean Pierre Boon

The vastness of the space of possible multicomponent metal alloys is hoped to provide improved structural materials but also challenges traditional, low-throughput materials design efforts. Computational screening could narrow this search…

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