Diffusion-Controlled Phase Transformations in Open Systems

Гусак, А. М.; Storozhuk, N. V.

doi:10.1016/b978-0-12-804548-0.00002-5

Cited by 4 publications

(7 citation statements)

References 45 publications

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“…Such flux-driven lateral grain growth during solid state reaction at frozen bulk diffusion should provide power laws, Eqs. (17), (18), with time exponents m = 0.20 for lat- eral grain size and n = 0.40 for phase width. It would be interesting for experimentalists also to measure the possible gradient of the lateral grain size, predicted by Model 2.…”

Section: Discussionmentioning

confidence: 99%

“…The reason is that in our case grain growth proceeds in the open system, so the growing layer can develop under gradients of chemical potentials as well as under passing fluxes. It is demonstrated in [13][14][15][16][17][18] that the fluxdriven morphology evolution in open systems can demonstrate quite a different behaviour from analogic morphology evolution in closed systems. For example, Flux-Driven Ripening (FDR) in soldering reaction proceeds (contrary to the conventional ripening with decreasing interface area and almost constant volume) with almost constant interface area but growing volume [13].…”

Section: Modelmentioning

confidence: 99%

“…Flux-Driven lateral Grain Growth (FDGG) during thin film deposition also may leave the total grainboundary area constant and, depending on temperature, may lead to linear or parabolic dependence of mean grain size on the film thickness [14,16]. Flux-Driven Nucleation [15] and Flux-Driven Cellular Precipitation [17,18] demonstrate the influence of external flux on nucleation at interfaces and on precipitation at frozen bulk diffusion.…”

Section: Modelmentioning

confidence: 99%

“…Typical numeric solution of Eqs. (17), (18) for the dependences nx 1/2 , mx 1/2 of time exponents on the dimensionless phase layer thickness x 1/2 with initial conditions x 0 = 0.25, y 0 = 1 is shown at Fig. 4.…”

Section: Account Of Non-zero Initial Condition For Mean Lateral Sizementioning

confidence: 99%

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Flux-Driven Lateral Grain Growth during Reactive Diffusion

Гусак¹

2020

Metallofiz. Noveishie Tekhnol.

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Section: Discussionmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

Section: Account Of Non-zero Initial Condition For Mean Lateral Sizementioning

confidence: 99%

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Flux-Driven Lateral Grain Growth during Reactive Diffusion

Гусак¹

2020

Metallofiz. Noveishie Tekhnol.

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“…Some years ago, a new method of production of rod-like and belt-like metal oxide structures (TiO 2 , V 2 O 5 ) was suggested involving intensive stirring of salted water with initially more or less equiaxially shaped oxide powder particles at elevated or even at room temperatures [ 1 , 2 ]. This new method connected the problem of anisotropic nucleation, growth, and ripening [ 3 , 4 , 5 , 6 ] with the problem of phase and structural transformations in open driven systems [ 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 ]. In order to develop a theoretical interpretation of these interconnected phenomena, the first very simplified models were advanced recently in [ 18 ].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic Nucleation, Growth and Ripening under Stirring—A Phenomenological Model

Гусак

Huriev

Schmelzer

2020

Entropy

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The anisotropic formation of elongated metal-oxide aggregates in water under intensive stirring is analyzed. It is treated in terms of anisotropic ballistically mediated aggregation kinetics in open systems. The basic kinetic equations describing the stages of homogeneous nucleation, independent growth, and ripening of the aggregates are formulated for the open system under the external influence with the stirring intensity as the main parameter governing the process. The most significant elongation of the aggregates is shown to evolve at the ripening stage.

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Modelling of Phase Formation in Solid–Solid and Solid–Liquid Interactions: New Developments

Гусак¹,

Storozhuk²

2021

Usp. Fiz. Met.

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Recent developments (after 2016) in modelling of phase formation during solid–solid and solid–liquid reactions by SKMF (Stochastic Kinetic Mean-Field) method, Monte Carlo simulation and phenomenological modelling are reviewed. Reasonable results of multiphase reactive diffusion modelling demonstrating distinct concentration plateau for each intermediate ordered compound and distinct concentration steps between these phases are obtained by the SKMF and Monte Carlo methods, if one takes into account interatomic interactions within two coordination shells and if the signs of mixing energies are ‘minus’ for the first coordination shell and ‘plus’ for the second one. Second possibility for reasonable modelling results is consideration of interatomic interactions depending on local concentration with maxima around stoichiometric composition. In phenomenological modelling, the generalization of Wagner diffusivity concept and respective superposition rule are introduced. New mechanism of the lateral grain growth in the growing phase layers during reactive diffusion is suggested. Anomalously fast grain growth at the final stages of soldering in sandwich-like Cu–Sn–Cu contacts is reported and explained. Simple model of Zn-additions’ influence on the Cu–Sn reaction is described.

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Diffusion-Controlled Phase Transformations in Open Systems

Cited by 4 publications

References 45 publications

Flux-Driven Lateral Grain Growth during Reactive Diffusion

Flux-Driven Lateral Grain Growth during Reactive Diffusion

Anisotropic Nucleation, Growth and Ripening under Stirring—A Phenomenological Model

Modelling of Phase Formation in Solid–Solid and Solid–Liquid Interactions: New Developments

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