Interfacial dynamics in transport-limited dissolution

Details Interfacial dynamics in transport-limited dissolution Interfacial dynamics in transport-limited dissolution

2006-04-13

arxiv.org/abs/cond-mat/0604333v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figs

Scientific paper

10.1103/PhysRevE.73.060601

Various model problems of ``transport-limited dissolution'' in two dimensions are analyzed using time-dependent conformal maps. For diffusion-limited dissolution (reverse Laplacian growth), several exact solutions are discussed for the smoothing of corrugated surfaces, including the continuous analogs of ``internal diffusion-limited aggregation'' and ``diffusion-limited erosion''. A class of non-Laplacian, transport-limited dissolution processes are also considered, which raise the general question of when and where a finite solid will disappear. In a case of dissolution by advection-diffusion, a tilted ellipse maintains its shape during collapse, as its center of mass drifts obliquely away from the background fluid flow, but other initial shapes have more complicated dynamics.

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