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Igniting homogeneous nucleation.

J C Neu1, L L Bonilla, A Carpio

  • 1Department of Mathematics, University of California at Berkeley, Berkeley, California 94720, USA. neu@math.berkeley.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 24, 2005
PubMed
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Transient homogeneous nucleation dynamics were analyzed using Becker-Döring equations. A new diffusivity model accurately predicts nucleation time lags, improving understanding of cluster formation in materials.

Area of Science:

  • Physical Chemistry
  • Materials Science
  • Chemical Engineering

Background:

  • Homogeneous nucleation is a fundamental process in phase transitions.
  • Understanding transient nucleation is crucial for controlling material properties.
  • Existing models often struggle to accurately predict nucleation kinetics.

Purpose of the Study:

  • To investigate transient homogeneous nucleation in the large critical size limit.
  • To compare different discrete diffusivity models within the Becker-Döring framework.
  • To develop improved analytical formulas for transient nucleation rate and time lag.

Main Methods:

  • Utilized the classic Becker-Döring kinetic equations.
  • Employed two discrete diffusivity models: Turnbull-Fisher and a thermally driven growth model.

Related Experiment Videos

  • Conducted direct numerical solutions for validation.

    • Main Results:

    • Characterized three distinct eras of transient nucleation.
    • The thermally driven growth model yielded nucleation time lags closer to experimental data for disilicate glasses.
    • Developed analytical formulas that show good agreement with numerical solutions.

    Conclusions:

    • The study provides a more accurate description of transient nucleation dynamics.
    • The proposed diffusivity model enhances the predictive power for nucleation phenomena.
    • Findings offer improved theoretical tools for materials design and processing.