Self-organization of precipitates during Ostwald ripening

Maksimov, L. A.; Ryazanov, A. I.; Heinig, Karl-Heinz; Reiss, S.

doi:10.1016/0375-9601(96)00092-8

Cited by 7 publications

(3 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The growth rate is of technological and fundamental interest. Many theoretical models and numerical studies have been presented for different growing, aging, or ripening mechanisms. − …”

Section: Introductionmentioning

confidence: 99%

A Simple Computer Simulation of Ostwald Ripening

1997

View full text Add to dashboard Cite

The coarsening of a polydisperse set of N particles is studied by computer simulation. The main steps of the simulation are the following: generation of a set of N (typically 20 000) particles according to an a priori model of the particle size distribution, and subsequent transfers of molecules from one particle to another according to predetermined growth rules. As an application, we consider the Ostwald ripening process. In this case, the exchange of molecules between small and large particles is governed by Kelvin's equation. The evolution of the average particle radius and of the size distribution is studied both in the stationary and nonstationary regimes. The typical characteristics of the stationary regime predicted by the Lifshitz−Slyozov−Wagner theory are recovered. For a more realistic initial log-normal size distribution, it was found that during an increase in average radius of about a factor of 4.3, the stationary regime was not yet attained. Results are also reported for the combined effects of Ostwald ripening and membrane resistance.

show abstract

“…The growth rate is of technological and fundamental interest. Many theoretical models and numerical studies have been presented for different growing, aging, or ripening mechanisms. − …”

Section: Introductionmentioning

confidence: 99%

A Simple Computer Simulation of Ostwald Ripening

1997

View full text Add to dashboard Cite

show abstract

“…Note that we present here the first microscopic theory for this process; previous phenomenological theories are unable to incorporate the defect interactions ͑see Ref. 24 and references therein͒. Even our simplifed treatment of defect interaction required a lot of computational time ͑typically, several days or a week͒.…”

Section: Discussionmentioning

confidence: 98%

Discrete-lattice theory for Frenkel-defect aggregation in irradiated ionic solids

1998

View full text Add to dashboard Cite

A microscopic theory of diffusion-controlled aggregation of radiation Frenkel defects-called in ionic solids H and F centers-is presented. This is based on a discrete-lattice formalism for the single defect densities ͑concentrations͒ and the coupled joint densities of similar and dissimilar defects treated in terms of a modified Kirkwood superposition approximation. The kinetics of defect aggregation is studied in detail; the cooperative character of this process for both types of complementary defects is shown. The theory is applied to the description of the kinetics of metal colloid formation during heating of electron-irradiated CaF 2 crystals.

show abstract

“…However, a general treatment demonstrates that, though being unstable with respect to fluctuations, a precipitate system provides no real mode selection during annealing. 15,19 In the case of the surfacedriven self-organization the reason for the above-mentioned correlation seems at first sight even less evident.…”

Section: Introductionmentioning

confidence: 87%

Self-organization kinetics in finite precipitate ensembles during coarsening

1997

Self Cite

View full text Add to dashboard Cite

A rate equation approach is applied for the description of the self-organization ͑layering͒ phenomenon predicted in recent computer experiments. This layering was observed in finite precipitate systems during annealing and is caused by Ostwald ripening. The onset of the layer formation is shown to be triggered by the inhomogeneity of the impurity concentration profile near the boundary of a precipitate system and not by the spatially uniform ''nonlocal fluctuation instability'' of precipitate parameters. The change of the spatial profile of precipitate size starts from the boundary of the system and occurs within a reaction shell having a thickness of the order of the diffusional screening length. During annealing this reaction shell shifts progressively into the system, leaving behind layers of precipitates. The layering is shown to occur only in sufficiently large systems with characteristic dimensions of at least several diffusional screening lengths. The reason for the weak sensitivity of interlayer distance to variations of system parameters is elucidated.

show abstract

Self-organization of precipitates during Ostwald ripening

Cited by 7 publications

References 14 publications

A Simple Computer Simulation of Ostwald Ripening

A Simple Computer Simulation of Ostwald Ripening

Discrete-lattice theory for Frenkel-defect aggregation in irradiated ionic solids

Self-organization kinetics in finite precipitate ensembles during coarsening

Contact Info

Product

Resources

About