Trapping effect on the kinetic critical radius in nucleation and growth processes

Zoltán Erdélyi, Zoltán Balogh, Gábor L. Katona, Dezso L. Beke

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The critical nucleus size-above which nuclei grow, below dissolve-during diffusion controlled nucleation in binary solid-solid phase transformation process is calculated using kinetic Monte Carlo (KMC). If atomic jumps are slower in an A-rich nucleus than in the embedding B-rich matrix, the nucleus traps the A atoms approaching its surface. It doesn't have enough time to eject A atoms before new ones arrive, even if it would be favourable thermodynamically. In this case the critical nucleus size can be even by an order of magnitude smaller than expected from equilibrium thermodynamics or without trapping. These results were published in [Z. Erdélyi et al., Acta Mater. 58 (2010) 5639]. In a recent paper M. Leitner [M. Leitner, Acta Mater. 60 (2012) 6709] has questioned our results based on the arguments that his simulations led to different results, but he could not point out the reason for the difference. In this paper we summarize our original results and on the basis of recent KMC and kinetic mean field (KMF) simulations we show that Leitner's conclusions are not valid and we confirm again our original results.

Original languageEnglish
Title of host publicationSolidification and Gravity VI
PublisherTrans Tech Publications Ltd
Number of pages6
ISBN (Print)9783038350934
Publication statusPublished - Jan 1 2014
Event6th International Conference on Solidification and Gravity - Miskolc, Lillafured, Hungary
Duration: Sep 2 2013Sep 5 2013

Publication series

NameMaterials Science Forum
ISSN (Print)0255-5476


Other6th International Conference on Solidification and Gravity
CityMiskolc, Lillafured


  • Homogeneous nucleation of phase transformations
  • Kinetic mean field techniques
  • Monte carlo techniques
  • Phase transformation kinetics

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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  • Cite this

    Erdélyi, Z., Balogh, Z., Katona, G. L., & Beke, D. L. (2014). Trapping effect on the kinetic critical radius in nucleation and growth processes. In Solidification and Gravity VI (pp. 97-102). (Materials Science Forum; Vol. 790-791). Trans Tech Publications Ltd.