Random alloy diffusion kinetics for the application to multicomponent alloy systems

Paul, Tumpa R.; Belova, Irina V.; Murch, Graeme E.

doi:10.1080/14786435.2016.1159349

Cited by 14 publications

(13 citation statements)

References 25 publications

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“…To further test the present formalism we performed a series of Monte Carlo (MC) simulations for 3, 4 and 5-component alloys. For the details of our MC simulations see, for example, [11]. In all cases, the agreement between the MC results and MAA-light approach is similar to the binary alloy: the diagonal collective correlation factors agree very well, the off-diagonal correlation factors agree to a good degree with an overall agreement that can be rated as very good, see Figs.…”

Section: Multicomponent Alloyssupporting

confidence: 53%

“…In [11] a brief historic overview of the development of various theories of diffusion kinetics in random alloys with vacancy mechanism was presented. The majority of those theories lack accuracy especially for the fastest component which is also the most correlated (lowest tracer correlation factor).…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper, we present a much 'lighter' version (here called MAA-light) of the MAA theory. It nonetheless remains much more complex than the combined Manning [15] and Holdsworth and Elliott (HE) [16] theory that was recently suggested [11]. The principal advantage of MAA-light, however, is in its very accurate predictions of the correlation factors for the fastest atomic component.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, MAA-light is a self-consistent theory in the sense that both collective and tracer correlation factors are calculated using the same system of equations. It should be pointed out that for quinary and higher alloys MAA-light will require application of iterative numerical methods and therefore rather more computational effort will be needed compared with the approach described in [11].…”

Section: Introductionmentioning

confidence: 99%

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A high accuracy diffusion kinetics formalism for random multicomponent alloys: application to high entropy alloys

Allnatt

Paul

Belova

et al. 2016

Philosophical Magazine

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In this paper, a new, lighter, version of the highly accurate Moleko, Allnatt and Allnatt formalism for describing both tracer (self) and collective diffusion kinetics in multicomponent random alloys is presented. Verification of the resulting expressions is performed by means of kinetic Monte Carlo simulation. The accuracy of the new formalism is much higher than that of the combined Manning and Holdsworth and Elliott formalism discussed recently. Using this formalism the possible range of the tracer diffusion ratio of the highest to the lowest atomic component is examined for equiatomic (or near equiatomic) binary, ternary, quaternary and quinary alloys. It is shown that in the random alloy model, the correlation effect is the highest with a reduction of the fastest tracer diffusion by 40-55%, when moving from two pure metals to their equiatomic binary alloy. By adding the third component (with an intermediate mobility) this effect can be further increased with a possible total reduction of the fastest tracer diffusion by up to 70% (depending on the combinations of mobilities), while adding the fourth component brings this reduction up to 80% and with a possible maximum of up to 85% reduction for the 5component alloy (again depending on the combinations of mobilities). But the slowest diffusing components are not affected by this. This suggests that kinetics arguments alone are not enough for explaining the sluggish diffusion observed of all atomic components in (equiatomic) high entropy alloys.

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Section: Multicomponent Alloyssupporting

confidence: 53%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A high accuracy diffusion kinetics formalism for random multicomponent alloys: application to high entropy alloys

Allnatt

Paul

Belova

et al. 2016

Philosophical Magazine

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“…The second article by this team concentrated strictly on the analysis of the results by Tsai et al [28], with the use of the MAA-light theory. For comparison, the results of the analysis with the use of both the Darken [76] and the Manning-Holdsworth-Elliot [77] theories were also presented. The comparison of the obtained self-diffusivities showed that in all cases, only the diffusion coefficient of Ni was significantly corrected in comparison to the tracer data provided by Tsai et al (see Figure 30).…”

Section: State-of-the-art In Theoretical Studiesmentioning

confidence: 99%

State-of-the-Art Diffusion Studies in the High Entropy Alloys

Dąbrowa

Danielewski

2020

Metals

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The development of the high entropy alloys (HEAs) is amongst the most important topics in the field of materials science during the last two decades. The concept of multicomponent, near-equimolar systems has been already applied to the number of other systems, including oxides, carbides, diborides, silicides, and it can be expected that other groups of materials will follow. One of the main driving forces for the development of HEAs is the so-called “four core effects”: high entropy effects, severe lattice distortion, cocktail effect, and sluggish diffusion effect. Their existence and extent has been a subject of heated discussion. Probably the least studied of them is the sluggish diffusion effect, which is of the, especially, high importance from the point of view of the most possible applications of HEAs—as high-temperature materials. Its alleged existence carries a promise of obtaining materials with superior mechanical properties, higher creep resistance, and less susceptibility to high-temperature corrosion. In the current review, the state-of-the-art of diffusion studies in HEAs was presented, as well as the resulting conclusions concerning the existence of the sluggish diffusion effect. Based on the literature analysis, it can be stated that there is no experimental evidence, which would support the existence of the sluggish diffusion in HEAs on the level of tracer and self-diffusivities. Nevertheless, it can be pointed out that our current state of knowledge on the diffusion in HEAs is still far from complete; therefore, further directions of studies are proposed.

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Experimental Determination of Vacancy Formation Energies in Multicomponent Systems

Nayak,

Danayak,

Kulkarni

2023

Metall Mater Trans A

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Random alloy diffusion kinetics for the application to multicomponent alloy systems

Cited by 14 publications

References 25 publications

A high accuracy diffusion kinetics formalism for random multicomponent alloys: application to high entropy alloys

A high accuracy diffusion kinetics formalism for random multicomponent alloys: application to high entropy alloys

State-of-the-Art Diffusion Studies in the High Entropy Alloys

Experimental Determination of Vacancy Formation Energies in Multicomponent Systems

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