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Classical nucleation theory revisited.

Yannis Drossinos1, Panayotis G Kevrekidis

  • 1European Commission, Joint Research Centre, I-21020 Ispra (Va), Italy. ioannis.drossinos@jrc.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
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This study introduces a field-theoretic correction to classical nucleation theory, accounting for droplet translational invariance. The derived correction modifies droplet free energy with a mixing-entropy term, impacting surface energy and defining a scaling volume.

Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Physical Chemistry

Background:

  • Classical nucleation theory (CNT) provides a framework for understanding phase transitions.
  • CNT often neglects the translational invariance of nucleating droplets.
  • A field-theoretic approach offers a more rigorous way to incorporate such effects.

Purpose of the Study:

  • To derive a correction to classical nucleation theory based on the translational invariance of a nucleating droplet.
  • To investigate the impact of nonlocal attractive interactions on droplet free energy.
  • To establish a theoretical basis for understanding scaling volumes in nucleation.

Main Methods:

  • Utilizing a functional integral representation of the classical partition function.

Related Experiment Videos

  • Decomposing the two-body interaction potential into repulsive and attractive components.
  • Employing the mean-field approximation and a hyperbolic tangent profile for density.
  • Applying a density-gradient expansion to capture nonlocal effects.
  • Performing density resummation and retaining gradient terms for the capillarity approximation.

    • Main Results:

    • A field-theoretic correction to classical nucleation theory was derived.
    • The correction introduces an additive mixing-entropy term to the droplet free energy.
    • A logarithmic correction to the surface-energy term was identified.
    • A scaling volume, dependent on the attractive potential range, was defined.

    Conclusions:

    • Translational invariance significantly modifies droplet free energy in nucleation.
    • The derived correction provides a more accurate description of nucleation phenomena.
    • The findings have implications for understanding phase transitions and interfacial phenomena.