The Lifshitz-Slyozov (LS) and the Lifshitz-Slyozov-Wagner (LSW) models for the so-called "Ostwald ripening"are compared, with the purpose to test the limits of validity of the approximation that the LSW model is expected to represent for the LS model. The generally nonmonotonic behavior of the monomers' concentration is discussed and shown in a few examples. An asymptotic approach is followed to justify theoretically the aforementioned approximation. Illustrative examples are given.

On the Relation between the Lifshitz--Slyozov and the Lifshitz--Slyozov--Wagner Models for Supersaturated Solutions

Renato Spigler
2021-01-01

Abstract

The Lifshitz-Slyozov (LS) and the Lifshitz-Slyozov-Wagner (LSW) models for the so-called "Ostwald ripening"are compared, with the purpose to test the limits of validity of the approximation that the LSW model is expected to represent for the LS model. The generally nonmonotonic behavior of the monomers' concentration is discussed and shown in a few examples. An asymptotic approach is followed to justify theoretically the aforementioned approximation. Illustrative examples are given.
2021
Coarsening models
Kinetics of phase transitions
Ostwald ripening
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/7728
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