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- W2151113508 abstract "The chemical mechanisms underlying the growth of cave formations such as stalactites are well known, yet no theory has yet been proposed which successfully accounts for the dynamic evolution of their shapes. Here we consider the interplay of thin-film fluid dynamics, calcium carbonate chemistry, and ${mathrm{C}mathrm{O}}_{2}$ transport in the cave to show that stalactites evolve according to a novel local geometric growth law which exhibits extreme amplification at the tip as a consequence of the locally-varying fluid layer thickness. Studies of this model show that a broad class of initial conditions is attracted to an ideal shape which is strikingly close to a statistical average of natural stalactites." @default.
- W2151113508 created "2016-06-24" @default.
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- W2151113508 date "2005-01-07" @default.
- W2151113508 modified "2023-10-18" @default.
- W2151113508 title "Stalactite Growth as a Free-Boundary Problem: A Geometric Law and Its Platonic Ideal" @default.
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- W2151113508 doi "https://doi.org/10.1103/physrevlett.94.018501" @default.
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