Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2006-01-13
Phys. Rev. Lett. 96, 254501 (2006)
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
10.1103/PhysRevLett.96.254501
We formulate and model the dynamics of spatial patterns arising during the precipitation of calcium carbonate from a supersaturated shallow water flow. The model describes the formation of travertine deposits at geothermal hot springs and rimstone dams of calcite in caves. We find explicit solutions for travertine domes at low flow rates, identify the linear instabilities which generate dam and pond formation on sloped substrates, and present simulations of statistical landscape evolution.
Chan Pak Yuen
Goldenfeld Nigel
Veysey John
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