Kinetics of phase transitions: Theory of Ostwald ripening

Marqusee, J. A.; Ross, John

doi:10.1063/1.445532

Cited by 255 publications

(137 citation statements)

References 8 publications

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“…Historically, extensions of coarsening theory for multicomponent systems were carried out by several authors [51][52][53][54][55][56][57]. More recently, a very general coarsening theory was developed by Philippe and Voorhees (PV) that accounts for the diffusion couplings and allows the composition of the precipitate to depart from equilibrium [25].…”

Section: Coarsening Regimementioning

confidence: 99%

Kinetics pathway of precipitation in model Co-Al-W superalloy

et al. 2018

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Abstract:The early stages of precipitation of the γ ' phase in a model Co based superalloy (Co-9.1Al-7W (at.%)) have been investigated at 900 °C using electron microscopy and atom probe tomography. Nucleation, growth and coarsening stages have been studied with a focus on the temporal evolution of the precipitate composition in the light of recent theoretical developments on phase separation in multicomponent alloys. The experimental data have been confronted to the theories of nucleation and coarsening recently developed for such alloys, which are valid for non-ideal and non-dilute systems, and predict the temporal evolution of both the matrix and precipitate compositions. The rate constant for the mean size evolution of the particles, as derived from experiments, has been compared to the one predicted by the mentioned coarsening theory that accounts for a more accurate description of the thermodynamics of the phases, as compared with more classical approaches. From this comparison the γ/γ' interfacial energy was derived and found equal to ~48 mJ/m 2 . the exponents for the temporal evolution of average particles size, number of particles per unit volume were found identical to those for binary alloys during the coarsening regime, as expected, and the temporal evolutions of compositions in both γ and γ' phases were found to evolve as predicted by theory. Indeed, the W content in the particles, measured from atom probe tomography (APT) experiments, was found to significantly decrease with time and the observed evolution is remarkably well described by the theory and therefore is shown to originate from the competition between diffusion and capillarity.

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Section: Coarsening Regimementioning

confidence: 99%

Kinetics pathway of precipitation in model Co-Al-W superalloy

et al. 2018

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“…Significantly fewer are studies in the growth of a population of bubbles, where various size bubbles compete for a fixed mass of solute through diffusion. We cite the work by Engelking [37] who applied coars~n.ing iilea.c; hy Lifshitz and Slycn:ov [66] as also confirmed by Marqusee and Ross [68] to infer that initially broad population densities asymptotically peak to a single-(large) size distribution.…”

Section: Discussionmentioning

confidence: 95%

“…F:9r relatively small supersaturations, ll.P < Poo, we take P 00 ~ conditions the reference Jacob number is (Table 1) •I· (68) 2000 psia, so that at these (69) Thus, for a small supersaturation, Ja is considerably less than 0(1). On the other hand, for moderate and large supersaturations, P 00 can be significantly small and J a may reach values as high as 20000 (when P 00 is 0(1 psia)), or even higher at conditions of vacuum.…”

Section: Dimensionless Groupsmentioning

confidence: 99%

Modification of chemical and physical factors in steamflood to increase heavy oil recovery

Yortsos¹

1990

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“…Let c be the concentration of solute in the matrix, and assume that c in the matrix is much smaller than the (constant) concentration in the precipitate phase c p , so that c p − c can be approximated by c p [13]. Conservation of solute mass requires that for each precipitate particle,…”

Section: Self-similarity and Growth Exponentsmentioning

confidence: 99%

Self-similarity and coarsening of three dimensional particles on a one or two dimensional matrix

Viñals

Mullins

1998

Journal of Applied Physics

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We examine the validity of the hypothesis of self-similarity in systems coarsening under the driving force of interface energy reduction in which three dimensional particles are intersected by a one or two dimensional diffusion matrix. In both cases, solute fluxes onto the surface of the particles, assumed spherical, depend on both particle radius and inter-particle distance. We argue that overall mass conservation requires independent scalings for particle sizes and inter-particle distances under magnification of the structure, and predict power law growth for the average particle size in the case of a one 1 dimensional matrix (3D/1D), and a weak breakdown of self-similarity in the two dimensional case (3D/2D). Numerical calculations confirm our predictions regarding self-similarity and power law growth of average particle size with an exponent 1/7 for the 3D/1D case, and provide evidence for the existence of logarithmic factors in the laws of boundary motion for the 3D/2D case.The latter indicate a weak breakdown of self-similarity.

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Kinetics of phase transitions: Theory of Ostwald ripening

Cited by 255 publications

References 8 publications

Kinetics pathway of precipitation in model Co-Al-W superalloy

Kinetics pathway of precipitation in model Co-Al-W superalloy

Modification of chemical and physical factors in steamflood to increase heavy oil recovery

Self-similarity and coarsening of three dimensional particles on a one or two dimensional matrix

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