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Related papers: A phase-field approach for modeling equilibrium so…

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Using a minimal algebraic model for the thermodynamics of binary rod--polymer mixtures, we provide evidence for a quintuple phase equilibrium; an observation that seems to be at odds with the Gibbs phase rule for two-component systems. Our…

Soft Condensed Matter · Physics 2020-09-21 V. F. D. Peters , M. Vis , Á. González García , H. H. Wensink , R. Tuinier

We propose a new statistical physics model to study equilibrium solute segregation at grain boundaries and the resulting embrittlement effect. This low-temperature expansion model is general and efficient, and its parameters can be obtained…

Materials Science · Physics 2019-03-21 Thomas Schuler , Frédéric Christien , Patrick Ganster , Krzysztof Wolski

We present a detailed derivation and thin interface analysis of a phase-field model that can accurately simulate microstructural pattern formation for low-speed directional solidification of a dilute binary alloy. This advance with respect…

Materials Science · Physics 2009-11-10 Blas Echebarria , Roger Folch , Alain Karma , Mathis Plapp

Segregation of alloying elements and impurities at grain boundaries (GBs) critically influences material behavior by affecting cohesion. In this study, we present an ab initio high-throughput evaluation of segregation energies and cohesive…

Materials Science · Physics 2025-03-19 Han Lin Mai , Xiang-Yuan Cui , Tilmann Hickel , Jörg Neugebauer , Simon Ringer

In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an…

Analysis of PDEs · Mathematics 2013-12-09 Elena Bonetti , Christian Heinemann , Christiane Kraus , Antonio Segatti

Most of the commercially important alloys are multicomponent, producing multiphase microstructures as a result of processing. When the coexisting phases are elastically coherent, the elastic interactions between these phases play a major…

Materials Science · Physics 2019-04-17 Sandeep Sugathan , Saswata Bhattacharya

Planar solidification from an undercooled melt has been considered using the phase-field model. The solute and the phase fields have been found in the limit of small impurity concentration. These solutions in the limit of vanishing velocity…

Materials Science · Physics 2007-05-23 Denis Danilov

We investigate the phase diagram of a two-component associating fluid mixture in the presence of selectively adsorbing substrates. The mixture is characterized by a bulk phase diagram which displays peculiar features such as closed loops of…

Statistical Mechanics · Physics 2009-11-07 J. M. Romero-Enrique , L. F. Rull , U. Marini Bettolo Marconi

A thermodynamically consistent phase-field model is developed to study the non-isothermal grain coalescence during the sintering process, with a potential application to the simulation in unconventional sintering techniques, e.g. spark…

Materials Science · Physics 2018-06-08 Yangyiwei Yang , Min Yi , Bai-Xiang Xu , Long-Qing Chen

In magnesium alloys with multiple substitutional elements, solute segregation at grain boundaries (GBs) has a strong impact on many important material characteristics, such as GB energy and mobility, and therefore, texture. Although it is…

Materials Science · Physics 2023-03-22 Risheng Pei , Zhuocheng Xie , Sangbong Yi , Sandra Korte-Kerzel , Julien Guénolé , Talal Al-Samman

Grain boundary embrittlement occurs when a solute enriches at a grain boundary and lowers its cohesive energy. While grain boundary enrichment is often attributed to equilibrium segregation effects, most models of embrittlement consider…

Materials Science · Physics 2015-08-18 Michael A. Gibson , Christopher A. Schuh

We construct a mean-field formulation of the thermodynamics of ion solvation in immiscible polar binary mixtures. Assuming an equilibrium planar interface separating two semi-infinite regions of different constant dielectric medium, we…

Soft Condensed Matter · Physics 2007-10-03 William Kung , Francisco J. Solis , Monica Olvera de la Cruz

We propose a two dimensional frame-invariant phase field model of grain impingement and coarsening. One dimensional analytical solutions for a stable grain boundary in a bicrystal are obtained, and equilibrium energies are computed. We are…

Materials Science · Physics 2007-05-23 Ryo Kobayashi , James A. Warren , W. Craig Carter

A phase-field approach to the dynamics of liquid-solid interfaces that evolve due to precipitation and/or dissolution is presented. For the purpose of illustration and comparison with other methods, phase field simulations were carried out…

Computational Physics · Physics 2018-07-04 Zhijie Xu , Paul Meakin

The growing trend towards engineering interfacial complexion (or phase) transitions has been seen in the grain boundary and solid surface systems.Meanwhile, little attention has been paid to the chemically heterogeneous solid/liquid…

Materials Science · Physics 2023-05-10 Jiaojiao Liu , Hongtao Liang , Jinfu Li , Brian B. Laird , and Yang Y

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…

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

The Langmuir-McLean isotherm is often interpreted as providing an approximation to the most probable grain boundary segregation as a function of the bulk mole solute fraction $x_B$, even though $x_B$ is not an independant parameter in the…

Materials Science · Physics 2022-08-09 S. R. Wilson

Conventional phase segregation is controlled by a positive interfacial tension, which implies that the system relaxes towards a state in which the interfacial area (or length) is minimized, typically manifesting as a single droplet that…

Soft Condensed Matter · Physics 2025-09-24 Kathrin Hertäg , Joshua F. Robinson , Thomas Speck

Phase separation plays an role in determining the self-assembly of biological and soft-matter systems. In biological systems, liquid-liquid phase separation inside a cell leads to the formation of various macromolecular aggregates. The…

Soft Condensed Matter · Physics 2024-03-26 Tanmay Biswas , Gerhard Kahl , Gaurav P. Shrivastav