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Nonequilibrium scale selection mechanism for columnar jointing

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Goehring,  Lucas
Group Pattern formation in the geosciences, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Goehring, L., Mahadevan, L., & Morris, S. W. (2009). Nonequilibrium scale selection mechanism for columnar jointing. Proceedings of the National Academy of Sciences of the United States of America, 106(2), 387-392. doi:10.1073/pnas.0805132106.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-B50C-7
Abstract
Crack patterns in laboratory experiments on thick samples of drying cornstarch are geometrically similar to columnar joints in cooling lava found at geological sites such as the Giant's Causeway. We present measurements of the crack spacing from both laboratory and geological investigations of columnar jointing, and show how these data can be collapsed onto a single master scaling curve. This is due to the underlying mathematical similarity between theories for the cracking of solids induced by differential drying or by cooling. We use this theory to give a simple quantitative explanation of how these geometrically similar crack patterns arise from a single dynamical law rooted in the nonequilibrium nature of the phenomena. We also give scaling relations for the characteristic crack spacing in other limits consistent with our experiments and observations, and discuss the implications of our results for the control of crack patterns in thin and thick solid films.