Fluctuations provide strong selection in Ostwald ripening

Details Fluctuations provide strong selection in Ostwald ripening Fluctuations provide strong selection in Ostwald ripening

1998-04-07

arxiv.org/abs/cond-mat/9804082v3

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTex, more details and reference added

Scientific paper

10.1103/PhysRevE.60.3072

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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