A simplified interface dynamics

Hiroyuki Tomita

Physica A: Statistical Mechanics and its Applications, 1994, vol. 204, issue 1, 693-701

Abstract: A quasi-static approximation for the late-stage interface dynamics of the phase separation process is investigated as a Dirichlet-type potential problem with a Gibbs-Thomson boundary condition. As an example, the correction due to droplet—droplet interactions on the Lifshitz-Slyozov equation for small volume fraction (φ « 1) is derived with use of the familiar image charge method. An intuitive phenomenological interface equation for the case of near critical quench (φ ≃ 12) is derived by assuming electrostatic shielding by a complicated, random bi-continuous surface. A smoothing process through the diffusion current along the interface is incorporated in a unified equation with the usual evaporation-condensation process.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:204:y:1994:i:1:p:693-701

DOI: 10.1016/0378-4371(94)90455-3

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