Generalization of Fisher Model for Periodically Non-Uniform Grain Boundary

V.L. Gapontsev; Valerie M. Koloskov; M.G. Gapontseva

doi:10.4028/www.scientific.net/DDF.277.213

Paper Titles

3D Monte Carlo Simulation of Phase Separation Kinetics in a Binary Metallic Alloy with Vacancy Mediated Diffusion: Effect of Initial Supersaturation
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Size-Induced Freezing Effect in Monte-Carlo Simulations of Phase Separation Kinetics in Nanoparticles
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Diffusion during Powder Metallurgy Synthesis of Titanium Alloys
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Composition Fluctuations in the Ostwald Ripening
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Kinetic and Thermodynamic Precipitation Parameters of the Pb-Sn Solid Solutions
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Surface Diffusion in Coadsorbed Layers with Different Mobilities of Adsorbates: (Li +Dy) on Mo(112) and (Li+Sr) on W(112)
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Modelling of the Formation of Pd-Ni Alloy Nanoparticles by Interdiffusion
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Generalization of Fisher Model for Periodically Non-Uniform Grain Boundary
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Reactionary Interaction as the Basis of Occurrence Heterogeneity Diffusion Properties Grain Boundaries in Polycrystalline Silver
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Generalization of Fisher Model for Periodically Non-Uniform Grain Boundary

Abstract:

The problem of grain boundary diffusion for a case of boundary grain with periodic heterogeneity diffusion properties is considered. Dependence of Laplace transform images of impurity concentration on various diffusion conductivity places is built. The dimensionless parameters, forming the system of grain boundary diffusion regimes are determined. The space (ln x,lnt,1/T) is divided into areas in which the ratio ln ln ~ ln ln ( / ) ln eff o C r x−k t− Q RT − A is maintained, when the parameters of diffusion regime are constant. The values of parameters , , , eff o r k Q A fully specify the diffusion regimes. On this base the new concept for the definition of grain boundary diffusion regimes is carried out and the method for construction of simplified tracer concentration profile is proposed.