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Calculation of phase diagrams is one of the fundamental tools in alloy design---more specifically under the framework of Integrated Computational Materials Engineering. Uncertainty quantification of phase diagrams is the first step required…

High-throughput methods enable accelerated discovery of novel materials in complex systems such as high-entropy alloys, which exhibit intricate phase stability across vast compositional spaces. Computational approaches, including Density…

Phase fractions, compositions and energies of the stable phases as a function of macroscopic composition, temperature, and pressure (X-T-P) are the principle correlations needed for the design of new materials and improvement of existing…

Materials Science · Physics 2020-02-04 Noah H Paulson , Brandon J Bocklund , Richard A Otis , Zi-Kui Liu , Marius Stan

We propose a new approach to constructing a phase diagram using the effective Hamiltonian derived only from a single real-space image produced by scanning tunneling microscopy (STM). Currently, there have been two main methods to construct…

Materials Science · Physics 2017-09-07 Kazuhito Takeuchi , Koretaka Yuge , Shinya Tabata , Hiroki Saito , Shu Kurokawa , Akira Sakai

The quest towards expansion of the MAX design space has been accelerated with the recent discovery of several solid solution and ordered phases involving at least two MAX end members. Going beyond the nominal MAX compounds enables not only…

Materials Science · Physics 2017-04-11 Thien C. Duong , Anjana Talapatra , Woongrak Son , Miladin Radovic , Raymundo Arroyave

Knowledge of phase diagrams is essential for material design as it helps in understanding microstructure evolution during processing. The determination of phase diagrams is thus one of the central tasks in materials science. When exploring…

Materials Science · Physics 2022-03-08 Guillaume Deffrennes , Kei Terayama , Taichi Abe , Ryo Tamura

Predicting solid-solid phase transitions remains a long-standing challenge in materials science. Solid-solid transformations underpin a wide range of functional properties critical to energy conversion, information storage, and thermal…

Materials Science · Physics 2025-06-03 Cibrán López , Joshua Ojih , Ming Hu , Josep Lluis Tamarit , Edgardo Saucedo , Claudio Cazorla

Devising a computational tool that assesses the thermodynamic stability of materials is among the most important steps required to build a ``virtual laboratory'', where materials could be designed from first-principles without relying on…

Statistical Mechanics · Physics 2007-05-23 A. van de Walle , G. Ceder

A thorough in situ characterization of materials at extreme conditions is challenging, and computational tools such as crystal structural search methods in combination with ab initio calculations are widely used to guide experiments by…

Materials Science · Physics 2018-11-14 Maximilian Amsler , Vinay I. Hegde , Steven D. Jacobsen , Chris Wolverton

We investigate the theory of thermodynamic formalism from the perspective of computable analysis, with a special focus on the computability of equilibrium states. Specifically, we develop two complementary general approaches to verify the…

Dynamical Systems · Mathematics 2025-12-18 Ilia Binder , Qiandu He , Zhiqiang Li , Xianghui Shi

Predicting phase stabilities of crystal polymorphs is central to computational materials science and chemistry. Such predictions are challenging because they first require searching for potential energy minima and then performing arduous…

Materials Science · Physics 2020-07-15 Aleks Reinhardt , Chris J. Pickard , Bingqing Cheng

By combining different ideas, a general and efficient protocol to deal with discontinuous phase transitions at low temperatures is proposed. For small $T$'s, it is possible to derive a generic analytic expression for appropriate order…

Statistical Mechanics · Physics 2015-06-03 C. E. Fiore , M. G. E. da Luz

Advancements in theoretical and algorithmic approaches, workflow engines, and an ever-increasing computational power have enabled a novel paradigm for materials discovery through first-principles high-throughput simulations. A major…

Phase diagrams serve as a highly informative tool for materials design, encapsulating information about the phases that a material can manifest under specific conditions. In this work, we develop a method in which Bayesian inference is…

Materials Science · Physics 2023-09-06 Timofei Miryashkin , Olga Klimanova , Vladimir Ladygin , Alexander Shapeev

This paper presents the first thermodynamic assessment of binary and pseudo-binary phase diagrams in the Ba--La--S and Ga--La--S systems by means of the CALPHAD method. Experimental phase diagram equilibrium data and thermodynamic…

Materials Science · Physics 2026-02-20 Jiayang Wang , Guangyu Hu , Pierre Lucas , Marat I. Latypov

During powder production, the pre-alloyed powder composition often deviates from the target composition leading to undesirable properties of additive manufacturing (AM) components. Therefore, we developed a method to perform high-throughput…

Materials Science · Physics 2020-12-23 Xin Wang , Wei Xiong

We show that one can employ well-established numerical continuation methods to efficiently calculate the phase diagram for thermodynamic systems. In particular, this involves the determination of lines of phase coexistence related to first…

Soft Condensed Matter · Physics 2021-01-22 Max Philipp Holl , Andrew J. Archer , Uwe Thiele

Standard enthalpies of formation are used for assessing the efficiency and safety of chemical processes in the chemical industry. However, the number of compounds for which the enthalpies of formation are available is many orders of…

Computational Engineering, Finance, and Science · Computer Science 2013-02-05 Ana L. Teixeira , Rui C. Santos , Joao P. Leal , Jose A. Martinho Simoes , Andre O. Falcao

The phase diagram of strong interactions in nature at finite temperature and chemical potential remains largely unexplored theoretically due to inadequacy of Monte-Carlo-based computational techniques in overcoming a sign problem. Quantum…

High Energy Physics - Lattice · Physics 2024-03-05 Zohreh Davoudi , Niklas Mueller , Connor Powers

The phase-field method has become a useful tool for the simulation of classical metallurgical phase transformations as well as other phenomena related to materials science. The thermodynamic consistency that forms the basis of these…

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