Scaling Relations for Dendritic Solidification in Binary Alloys

Emmerich, Heike; Jurgk, Matthias; Siquieri, R.

doi:10.1002/3527603506.ch4

Cited by 2 publications

(4 citation statements)

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“…For instance, the dependence of the interfacial free energy on the critical size of a nucleus is-from the point of view of recent experiments-not considered adequately. In the past years, several advances have been performed to put the modelling of nucleation and microstructure formation on a wider base [12][13][14][15].…”

Section: Scope and Aim Of This Volumementioning

confidence: 99%

Heterogenous nucleation and microstructure formation—a scale- and system-bridging approach

Emmerich

2009

J. Phys.: Condens. Matter

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Scope and aim of this volume.Nucleation and initial microstructure formation play an important role in almost all aspects of materials science [1–5]. The relevance of the prediction and control of nucleation and the subsequent microstructure formation is fully accepted across many areas of modern surface and materials science and technology. One reason is that a large range of material properties, from mechanical ones such as ductility and hardness to electrical and magnetic ones such as electric conductivity and magnetic hardness, depend largely on the specific crystalline structure that forms in nucleation and the subsequent initial microstructure growth. A very demonstrative example for the latter is the so called bamboo structure of an integrated circuit, for which resistance against electromigration [6] , a parallel alignment of grain boundaries vertical to the direction of electricity, is most favorable. Despite the large relevance of predicting and controlling nucleation and the subsequent microstructure formation, and despite significant progress in the experimental analysis of the later stages of crystal growth in line with new theoretical computer simulation concepts [7], details about the initial stages of solidification are still far from being satisfactorily understood. This is in particular true when the nucleation event occurs as heterogenous nucleation.The Priority Program SPP 1296 'Heterogenous Nucleation and Microstructure Formation—a Scale- and System-Bridging Approach' [8] sponsored by the German Research Foundation, DFG, intends to contribute to this open issue via a six year research program that enables approximately twenty research groups in Germany to work interdisciplinarily together following this goal. Moreover, it enables the participants to embed themselves in the international community which focuses on this issue via internationally open joint workshops, conferences and summer schools. An outline of such activities can be found in [8]. Furthermore, the honorable invitation to publish a special issue in Journal of Physics: Condensed Matter dedicated to the Priority Program's topic allows the obtained results to be communicated to relevant international colleagues, which stimulates further interest and encourages future collaborations.The issue comprises the research results of the participants during the first two year period of the Priority Program as well as that of the international referees of the program.Now, what precisely is the research concept of the Priority Program and thus, what are the articles in this special issue dedicated to?Ever since the pioneering work of Volmer and Weber [9], Becker and Döring [10] as well as Turnbull and Fisher [11] nucleation has been modelled more or less phenomenologically. These traditional models describe nucleation by stochastic processes of single atoms, respectively, molecules, which attach at primary droplets. Those thereby growing droplets become stable by reaching a critical size. This concept has largely been em...

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Section: Scope and Aim Of This Volumementioning

confidence: 99%

Heterogenous nucleation and microstructure formation—a scale- and system-bridging approach

Emmerich

2009

J. Phys.: Condens. Matter

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“…To our knowledge, this is the first phase-field model convergent to the underlying sharp interface problem in the thin interface limit. The respective asymptotic analysis is summarized in [21]. This model allows us for the first time to investigate quantitatively the peritectic transformation under the influence of convection.…”

Section: A Quantitative Phase-field Model For Peritectic Growth Takin...mentioning

confidence: 99%

“…Thus the latter naturally has an impact on the nucleation rate, just as indicated experimentally. This can be analysed in more detail by making use of the phase-field profiles at the stationary point [21]. The benefit of using our continuum model approach rather than atomistic models for the proposed studies is twofold: (1) the approach is computationally considerably more efficient, i.e.…”

Section: Investigating Heterogeneous Nucleation In Peritectic Materia...mentioning

confidence: 99%

“…Only due to this does simulation of nucleation as well as initial growth become possible. (2) Moreover, it can easily be extended to additional physical mechanisms influencing the nucleation process as, for example, elastic ones [17] or anisotropies of the solid-liquid interfacial free energy [21].…”

Section: Investigating Heterogeneous Nucleation In Peritectic Materia...mentioning

confidence: 99%

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Investigating heterogeneous nucleation in peritectic materials via the phase-field method

Emmerich

Siquieri

2006

J. Phys.: Condens. Matter

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Here we propose a phase-field approach to investigate the influence of convection on peritectic growth as well as the heterogeneous nucleation kinetics of peritectic systems. For this purpose we derive a phase-field model for peritectic growth taking into account fluid flow in the melt, which is convergent to the underlying sharp interface problem in the thin interface limit (Karma and Rappel 1996 Phys. Rev. E 53 R3017). Moreover, we employ our new phase-field model to study the heterogeneous nucleation kinetics of peritectic material systems. Our approach is based on a similar approach towards homogeneous nucleation in Gránásy et al (2003 Interface and Transport Dynamics (Springer Lecture Notes in Computational Science and Engineering vol 32) ed Emmerich et al (Berlin: Springer) p 190). We applied our model successfully to extend the nucleation rate predicted by classical nucleation theory for an additional morphological term relevant for peritectic growth. Further applications to understand the mechanisms and consequences of heterogeneous nucleation kinetics in more detail are discussed.

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Scaling Relations for Dendritic Solidification in Binary Alloys

Cited by 2 publications

References 9 publications

Heterogenous nucleation and microstructure formation—a scale- and system-bridging approach

Heterogenous nucleation and microstructure formation—a scale- and system-bridging approach

Investigating heterogeneous nucleation in peritectic materials via the phase-field method

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