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Oscillations in the nucleation preexponential.

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|February 23, 2022
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Summary
This summary is machine-generated.

Nucleation rate oscillations arise from discrete nuclei. A new formula accurately describes these oscillations for high nucleation barriers, applicable to various models like the Ising model.

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Area of Science:

  • Physical Chemistry
  • Materials Science
  • Statistical Mechanics

Background:

  • Nucleation phenomena are critical in phase transitions.
  • The preexponential factor in nucleation rates is often simplified, neglecting discrete effects.
  • Understanding oscillations in nucleation is key for accurate modeling.

Purpose of the Study:

  • To derive an accurate analytical expression for oscillations in the nucleation rate's preexponential factor.
  • To investigate the impact of nuclear discreteness on nucleation dynamics.
  • To apply the derived expression to established nucleation models and systems.

Main Methods:

  • Derivation of an elementary expression for nucleation rate oscillations in the high nucleation barrier limit.
  • Application of the derived expression to the Becker-Döring model in 2D and 3D.
  • Analysis of nucleation paths in a cold lattice gas using Glauber and Metropolis dynamics (Ising model).

Main Results:

  • An accurate analytical expression for preexponential oscillations due to nuclear discreteness was successfully derived.
  • Oscillation effects were found to be significant and were quantified for the Becker-Döring equation.
  • Pronounced oscillation effects were observed in the cold lattice gas model, highlighting the importance of discreteness.

Conclusions:

  • The discrete nature of small nuclei significantly influences nucleation rates through preexponential oscillations.
  • The derived expression provides a more accurate description of nucleation dynamics, especially under high barrier conditions.
  • The study emphasizes the need to consider nuclear discreteness in models like the Ising model for precise nucleation predictions.