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Diffusion-Controlled Solid State Reactions, in Alloys,

Written through an excellent workforce of utilized theoreticians with finished services and a large spectrum of overseas contacts headed by means of Prof. A. M. Gusak, this monograph coherently provides the methods and effects hitherto in basic terms on hand in numerous magazine papers.
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35 37 3 Diffusive Phase Competition: Fundamentals Andriy M. 1 Introduction Diffusion phase competition at interdiffusion became the ‘‘first love’’ of the author, after his greater involvement in the analysis of diffusion. It was the search for an answer to the phase competition point that made diffusion investigations attractive to him (in about 1980). Thus, diffusion turned from the ‘‘museum exhibit’’ into the master of nanoworlds fate (decision-maker) at solidstate reactions. In 1981, the author, together with Gurov, proposed a quite naive (as for nowadays) competition model, where the possibility of diffusion suppression of some intermediate phase nuclei by their fast-growing neighbors was first emphasized.

Et al. (2008) Acta Materialia, 56, 5276. N. (2009) Acta Materialia, 57, 3367. M. V. (2009) Journal of Physics-Condensed Matter, 21, 5303. M. V. (1961) Journal of Physics and Chemistry of Solids, 19, 35. 14. V. and 15. 16. 17. 18. 19. 20. N. (2006) Acta Materialia, 54, 785. M. J. (2003) Acta Materialia, 51, 4073. Gapontsev, V. (2008) Dr. Sciences thesis. Ekaterinburg, Russia. , Fratzl, P. and Kroupa, A. (2002) Acta Materialia, 50, 1369. D. and Fratzl, P. (2006) Acta Materialia, 54, 3043. T. L. (2005) Applied Physics Letters, 86, 231906.

15) − nd · cA x + d/2 · cV x − d/2 · νAV cA x + d/2 In case that all gradients being not too large, we may neglect higher orders of smallness in interplanar spacings at the Taylor expansion. Otherwise, we will arrive at a nonlocal theory of Cahn–Hilliard type. 17) The term d2 νAV represents the tracer diffusion coefficient of the component A. 19) However, generally speaking, this is not the case. 20) 15 16 2 Nonequilibrium Vacancies and Diffusion-Controlled Processes at Nanolevel The equilibrium vacancy concentration depends on local composition, while the latter depends on the coordinates in the heterogeneous alloy.

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