Diffusion Equations for Early Stages of Solid Solutions Decay Based on the Markovian Theory of Random Walk

Daniil M. Levin; Yury N. Kolmakov

doi:10.4028/www.scientific.net/DDF.383.74

Paper Titles

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Study of the Very First Stages of Mg Growth onto Si(100)
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Spinodal Decomposition in Nanoparticles - Experiments and Simulation
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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 383Diffusion Equations for Early Stages of Solid...

Diffusion Equations for Early Stages of Solid Solutions Decay Based on the Markovian Theory of Random Walk

Abstract:

Examination was made of the early stages of binodal or spinodal solid solutions decay connected with the growth of local zones of concentration fluctuations. The theory of Markovian process of random walk of the individual atoms describes how particle transport with short diffusion paths causes the growth of these zones. The resulting equation predicts the growth and transformation of initial zones of concentration fluctuations into growing clusters with surface boundary or formation of the quasiperiodic concentration distribution inherent in spinodal decomposition.

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Periodical:

Defect and Diffusion Forum (Volume 383)

Pages:

74-80

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.383.74

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Online since:

February 2018

Authors:

Daniil M. Levin*, Yury N. Kolmakov

Keywords:

Chapman-Kolmogorov Equation, Clusters, Diffusion, Random Walk, Solid Solutions Decay

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References

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