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On the theory of phase transformations with a nonuniform nucleation rate

  • Lattice Dynamics and Phase Transitions
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Abstract

An expression for the phase volume fraction in a system with a nonuniform nucleation rate is derived by using the geometrical-probabilistic approach. Examples of such systems considered here are (1) a plane layer (with nucleation in the midplane) and random planes in space, (2) an infinitely long cylinder (with nucleation on the axis) and random lines in space, and (3) a sphere (with nucleation at the center) and nucleation at random points. In each case, an expression for the phase volume fraction is derived for the time-dependent rates of nucleation and growth. The equivalence of homogeneous nucleation and nucleation at points is established.

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Authors and Affiliations

  1. Kharkov Institute of Physics and Technology, Ukrainian Scientific Center, Akademicheskaya ul. 1, Kharkov, 310108, Ukraine

    N. V. Alekseechkin

Authors
  1. N. V. Alekseechkin
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Translated from Fizika Tverdogo Tela, Vol. 42, No. 12, 2000, pp. 2205–2212.

Original Russian Text Copyright © 2000 by Alekseechkin.

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Alekseechkin, N.V. On the theory of phase transformations with a nonuniform nucleation rate. Phys. Solid State 42, 2273–2281 (2000). https://doi.org/10.1134/1.1332151

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  • DOI: https://doi.org/10.1134/1.1332151

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