Fluctuations provide strong selection in Ostwald ripening
Baruch Meerson (The Racah Institute of Physics, Hebrew University of, Jerusalem)
TL;DR
This paper demonstrates that fluctuations play a crucial role in Ostwald ripening by selecting a unique self-similar distribution function, leading to a universal limiting solution.
Contribution
It reveals that fluctuations induce a strong selection mechanism in the Lifshitz-Slyozov theory, favoring a specific distribution among many solutions.
Findings
Fluctuations generate an infinite tail in the distribution function.
Fluctuations drive the distribution towards the limiting solution.
A strong selection rule is established through fluctuation effects.
Abstract
A selection problem that appears in the Lifshitz-Slyozov (LS) theory of Ostwald ripening is reexamined. The problem concerns selection of a self-similar distribution function (DF) of the minority domains with respect to their sizes from a whole one-parameter family of solutions. A strong selection rule is found via an account of fluctuations. Fluctuations produce an infinite tail in the DF and drive the DF towards the "limiting solution" of LS or its analogs for other growth mechanisms.
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