Universal distributions generated in a nucleation pulse

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Abstract

Asymptotic analysis of the nucleation-growth equations describing a nucleation pulse of arbitrary duration is performed. It is discovered that after extended growth an asymptotic distribution is established, which is not of any standard form (Gauss, log-normal, etc.). Regardless of the mass exchange mechanism between the nucleus and the metastable phase, in the extremes of long and short pulses the shapes of the distribution become universal, with additional insensitivity of either the maximum or, respectively, the width to the duration of the pulse.

Original languageEnglish (US)
Article number205702
JournalPhysical Review Letters
Volume101
Issue number20
DOIs
StatePublished - Nov 11 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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