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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:nlin/0601028 (nlin)
[Submitted on 13 Jan 2006 (v1), last revised 26 May 2006 (this version, v3)]

Title:Dynamics of precipitation pattern formation at geothermal hot springs

Authors:Nigel Goldenfeld, Pak Yuen Chan, John Veysey (University of Illinois at Urbana-Champaign)
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Abstract: 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.
Subjects: Pattern Formation and Solitons (nlin.PS); Soft Condensed Matter (cond-mat.soft); Geophysics (physics.geo-ph)
Cite as: arXiv:nlin/0601028 [nlin.PS]
  (or arXiv:nlin/0601028v3 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.nlin/0601028
Journal reference: Phys. Rev. Lett. 96, 254501 (2006)
Related DOI: https://doi.org/10.1103/PhysRevLett.96.254501

Submission history

From: Nigel Goldenfeld [view email]
[v1] Fri, 13 Jan 2006 05:57:52 UTC (633 KB)
[v2] Fri, 14 Apr 2006 22:38:28 UTC (636 KB)
[v3] Fri, 26 May 2006 23:23:12 UTC (615 KB)
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