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Fluctuations provide strong selection in Ostwald ripening.

B Meerson1

  • 1The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel. meerson@vms.huji.ac.il

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

This study reexamines Ostwald ripening selection, finding that fluctuations in minority domain sizes create an infinite tail in the distribution function. This drives the system towards a specific limiting solution, refining Lifshitz-Slyozov theory.

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Area of Science:

  • Materials Science
  • Physical Chemistry
  • Statistical Mechanics

Background:

  • Ostwald ripening describes the evolution of microstructures in materials over time.
  • The Lifshitz-Slyozov (LS) theory provides a theoretical framework for understanding this process.
  • A key challenge is selecting the correct self-similar size distribution function for minority domains.

Purpose of the Study:

  • To reexamine the selection problem within the Lifshitz-Slyozov theory of Ostwald ripening.
  • To identify the mechanism responsible for selecting a unique self-similar distribution function (DF) for minority domain sizes.
  • To investigate the role of fluctuations in this selection process.

Main Methods:

  • Theoretical analysis of the Lifshitz-Slyozov (LS) theory.

Related Experiment Videos

  • Incorporation of fluctuation effects into the domain size distribution function (DF).
  • Mathematical modeling to derive the selection rule.

    • Main Results:

    • A strong selection rule for the distribution function (DF) of minority domain sizes was identified.
    • Fluctuations were found to introduce an infinite tail into the DF.
    • The DF is driven towards the "limiting solution" of the LS theory or analogous solutions for other growth mechanisms.

    Conclusions:

    • Fluctuations play a crucial role in selecting the correct self-similar distribution function in Ostwald ripening.
    • The findings refine the understanding of Ostwald ripening and related growth phenomena.
    • This work provides a more robust theoretical basis for predicting material microstructure evolution.