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Phase field modeling of simultaneous nucleation and growth by explicitly incorporating nucleation events

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This article is published in Scripta Materialia.The article was published on 2000-10-30. It has received 160 citations till now. The article focuses on the topics: Nucleation.

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An introduction to phase-field modeling of microstructure evolution

TL;DR: In this article, the authors introduce the concept of diffuse interfaces, the phase-field variables, the thermodynamic driving force for microstructure evolution and the kinetic phasefield equations are discussed.
Journal ArticleDOI

Multiscale modeling of θ′ precipitation in Al–Cu binary alloys

TL;DR: In this article, a multiscale model for studying the growth and coarsening of θ′ precipitates in Al-Cu alloys is presented, which utilizes a combination of the mesoscale phase-field method with atomistic approaches such as first-principles total energy and linear response calculations, as well as a mixed-space cluster expansion coupled with Monte Carlo simulations.
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Advances of and by phase-field modelling in condensed-matter physics

TL;DR: A critical overview of the conceptual background of the phase- field method, the most relevant fields of condensed-matter physics that have been approached using phase-field modelling, as well as the respective model formulations and the insight gained so far via their simulation and analysis are provided.
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The phase field technique for modeling multiphase materials

TL;DR: In this article, the authors review methods and applications of the phase field technique in computational materials science, one of the fastest-growing areas in computational material science, and present several applications of phase field techniques.
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Three-dimensional phase-field simulations of coarsening kinetics of γ' particles in binary Ni-Al alloys

TL;DR: In this paper, the coarsening kinetics of c 0 precipitates in binary Ni-Al alloy are studied using three-dimensional (3D) phase-field simulations, where the bulk thermodynamic information and atomic diffusion mobilities are obtained from databases constructed using the CALPHAD approach, while the experimental values for the interfacial energy, elastic constants and lattice mismatch are directly employed in the phase-Field model.
References
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Book

Phase Transitions and Critical Phenomena

TL;DR: The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results as discussed by the authors, and the major aim of this serial is to provide review articles that can serve as standard references for research workers in the field.
Journal ArticleDOI

Free Energy of a Nonuniform System. I. Interfacial Free Energy

TL;DR: In this article, it was shown that the thickness of the interface increases with increasing temperature and becomes infinite at the critical temperature Tc, and that at a temperature T just below Tc the interfacial free energy σ is proportional to (T c −T) 3 2.
Journal ArticleDOI

Kinetics of Phase Change. II Transformation‐Time Relations for Random Distribution of Nuclei

TL;DR: In this article, a relation between the actual transformed volume V and a related extended volume V1 ex is derived upon statistical considerations, and a rough approximation to this relation is shown to lead, under the proper conditions, to the empirical formula of Austin and Rickett.
Journal ArticleDOI

Theory of Dynamic Critical Phenomena

TL;DR: The renormalization group theory has been applied to a variety of dynamic critical phenomena, such as the phase separation of a symmetric binary fluid as mentioned in this paper, and it has been shown that it can explain available experimental data at the critical point of pure fluids, and binary mixtures, and at many magnetic phase transitions.
Book

Phase transformations in metals and alloys

TL;DR: In this article, the authors discuss the properties of phase diagrams for single-component systems, including the influence of interfaces on the equilibrium of binary solutions in Heterogeneous Systems (Heterogeneous Binary Phase Diagrams).
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