Spatially correlated nuclei: How the Johnson-Mehl-Avrami-Kolmogorov formula is modified in the case of simultaneous nucleation

M. Tomellini, M. Fanfoni, M. Volpe

Research output: Contribution to journalArticle

28 Citations (Scopus)


We present a theoretical investigation about the role played by spatial correlation among nuclei in the kinetics of first-order phase transitions. From the cluster expansion of the distribution functions in terms of the m-dots correlation functions, we obtain the equation which describes the kinetics in case of simultaneous nucleation. Truncation of the cluster expansion to the lowest order terms leads to an analytical solution. In order to test it we compare it to Monte Carlo simulations for the hard-core model, finding an excellent agreement. The theory is also applied to estimate the rate of random sequential adsorption of circular disks.
Original languageEnglish
Pages (from-to)11300 - 11303
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number17
Publication statusPublished - 1 Nov 2000
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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