Pattern formation in the geosciences

doi:10.1098/rsta.2012.0352

. 2013 Nov 4;371(2004):20120352.

doi: 10.1098/rsta.2012.0352. Print 2013.

Pattern formation in the geosciences

Lucas Goehring¹

Affiliations

PMID: 24191107
PMCID: PMC3826191
DOI: 10.1098/rsta.2012.0352

Pattern formation in the geosciences

Lucas Goehring. Philos Trans A Math Phys Eng Sci. 2013.

. 2013 Nov 4;371(2004):20120352.

doi: 10.1098/rsta.2012.0352. Print 2013.

Author

Lucas Goehring¹

Affiliation

¹ Max Planck Institute for Dynamics and Self-Organization, , Am Fassberg 17, 37077 Göttingen, Germany.

PMID: 24191107
PMCID: PMC3826191
DOI: 10.1098/rsta.2012.0352

Abstract

Pattern formation is a natural property of nonlinear and non-equilibrium dynamical systems. Geophysical examples of such systems span practically all observable length scales, from rhythmic banding of chemical species within a single mineral crystal, to the morphology of cusps and spits along hundreds of kilometres of coastlines. This article briefly introduces the general principles of pattern formation and argues how they can be applied to open problems in the Earth sciences. Particular examples are then discussed, which summarize the contents of the rest of this Theme Issue.

Keywords: complex systems; nonlinear geophysics; pattern formation; self-organization.

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References

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1. Petroff AP, Devauchelle O, Seybold H, Rothman DH. 2013. Bifurcation dynamics of natural drainage networks. Phil. Trans. R. Soc. A 371, 20120365 (10.1098/rsta.2012.0365) - DOI - PubMed
1. Goehring L. 2013. Evolving fracture patterns: columnar joints, mud cracks and polygonal terrain. Phil. Trans. R. Soc. A 371, 20120353 (10.1098/rsta.2012.0353) - DOI - PubMed
1. Mahadevan L, Bendick R, Liang H. 2010. Why subduction zones are curved. Tectonics 29, TC6002 (10.1029/2010TC002720) - DOI

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[1] Halley E. 1686–1692. An account of the circulation of the watry vapours of the sea, and of the cause of springs. Phil. Trans. 16, 468–473. (10.1098/rstl.1686.0084) - DOI

[2] Halley E. 1686–1692. An account of the circulation of the watry vapours of the sea, and of the cause of springs. Phil. Trans. 16, 468–473. (10.1098/rstl.1686.0084) - DOI

[3] Bulkeley R. 1693. Part of a letter from Sir R.B.S.R.S. to Dr. Lister, concerning the Giants Causway in the County of Atrim in Ireland. Phil. Trans. 17, 708–710. (10.1098/rstl.1693.0027) - DOI

[4] Bulkeley R. 1693. Part of a letter from Sir R.B.S.R.S. to Dr. Lister, concerning the Giants Causway in the County of Atrim in Ireland. Phil. Trans. 17, 708–710. (10.1098/rstl.1693.0027) - DOI

[5] Petroff AP, Devauchelle O, Seybold H, Rothman DH. 2013. Bifurcation dynamics of natural drainage networks. Phil. Trans. R. Soc. A 371, 20120365 (10.1098/rsta.2012.0365) - DOI - PubMed

[6] Petroff AP, Devauchelle O, Seybold H, Rothman DH. 2013. Bifurcation dynamics of natural drainage networks. Phil. Trans. R. Soc. A 371, 20120365 (10.1098/rsta.2012.0365) - DOI - PubMed

[7] Goehring L. 2013. Evolving fracture patterns: columnar joints, mud cracks and polygonal terrain. Phil. Trans. R. Soc. A 371, 20120353 (10.1098/rsta.2012.0353) - DOI - PubMed

[8] Goehring L. 2013. Evolving fracture patterns: columnar joints, mud cracks and polygonal terrain. Phil. Trans. R. Soc. A 371, 20120353 (10.1098/rsta.2012.0353) - DOI - PubMed

[9] Mahadevan L, Bendick R, Liang H. 2010. Why subduction zones are curved. Tectonics 29, TC6002 (10.1029/2010TC002720) - DOI

[10] Mahadevan L, Bendick R, Liang H. 2010. Why subduction zones are curved. Tectonics 29, TC6002 (10.1029/2010TC002720) - DOI

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Pattern formation in the geosciences

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Pattern formation in the geosciences

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