Application of the Mean-Field Kinetic Method for Description of the Reaction Diffusion
DOI:
https://doi.org/10.15330/pcss.17.4.594-598Keywords:
diffusion, phase formation, incubation time, kinetic mean-field method, asymmetryAbstract
In this paper we present the results of modeling of the reaction diffusion in fcc structure between pure component A and orderedphase A1B1using the kinetic mean-field method. Theformationtime of the ordered phase A3B1 (incubation time) exponentially depends on the asymmetry of the system. On the base of the kinetic mean-field method the tracer diffusion coefficients in the ordered phase A3B1 weredetermined. Based on the computer experiments and theoretical considerations the constant of phase growth has been determined.
References
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[2] D. L. Beke, Z. Erdélyi, I.A. Szabó, C. Cserháti, Journal of Metastable and Nanocrystalline Materials 19, 107 (2004).
[3] D. L. Beke, Z. Erdélyi, Defect and Diffusion Forum 249, 119 (2006).
[4] D. L. Beke, Z. Erdélyi, Defect and Diffusion Forum 266, 1 (2007).
[5] N. V. Storozhuk, K. V. Sopiga and A. M. Gusak, Philosophical Magazine 93(16), 1999 (2012).
[6] K. V. Sopiha, Medium-fillds models of diffusion and ordering in allows: Master's thesis, spec. 8.04020301 - physics (Cherkasy, 2014).
[7] A. M.Gusak, Diffusion-controlled Solid State Reactions: In Alloys, Thin Films and Nanosystems (WILEYVCH Verlag GmbH & Co. KGaA, Boschstr. 12, 69469 Weinheim, Germany, 2010).
[8] B. S. Bokstain, Diffusion in metals (Metallurgy, M., 1978).
[9] K. P. Gurov, B. A. kartashkin, Y. E. Ugaste, Inter-diffusion in many-phases metal systems. Red.: K. P. Gurov (Nauka, M., 1981).
[10] J. Crank, The Mathematics of diffusion (Clarendon press, Oxford, 1975).
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Published
2016-12-15
How to Cite
Rymar, O., & Gusak, A. (2016). Application of the Mean-Field Kinetic Method for Description of the Reaction Diffusion. Physics and Chemistry of Solid State, 17(4), 594–598. https://doi.org/10.15330/pcss.17.4.594-598
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Scientific articles
