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Self-organized rhythmic patterns in geochemical systems.

Ivan L'Heureux1

  • 1Department of Physics, University of Ottawa,150 Louis Pasteur, Ottawa, Ontario K1N 6N5, Canada. ilheureu@uottawa.ca

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
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Summary
This summary is machine-generated.

Geochemical systems exhibit chemical oscillating patterns due to self-organization in nonlinear systems. Nonlinear dynamics tools reveal insights into geological pattern formation, aiding in understanding Earth

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Area of Science:

  • Geochemistry and Nonlinear Dynamics
  • Mineralogy and Petrology
  • Earth System Science

Background:

  • Chemical oscillating patterns are common in geochemical systems.
  • These patterns can arise from external environmental changes or intrinsic self-organization in nonlinear systems with positive feedback.
  • Periodic precipitation (Liesegang bands) and oscillatory zoning in rocks and minerals are key examples.

Purpose of the Study:

  • To review and describe various chemical oscillating patterns observed in diverse geological environments.
  • To illustrate the application of nonlinear dynamics concepts to understand these geological patterns.
  • To present a novel example of periodic pyrite band precipitation in sapropel sediment.

Main Methods:

  • Review of existing literature on geochemical oscillating patterns.
  • Analysis of patterns from eruptive, sedimentary, hydrothermal, and metamorphic geological settings.
  • Case study of periodic pyrite band formation in sapropel sediment.

Main Results:

  • Demonstration that many geological patterns, including Liesegang bands and oscillatory zoning, can be explained by nonlinear dynamics.
  • Identification of pattern formation linked to system parameter thresholds, leading to instability of steady states.
  • Observation of transitions to time-dependent oscillatory or chaotic behaviors ('attractors').

Conclusions:

  • Nonlinear dynamics provides a powerful framework for understanding self-organized pattern formation in geochemical systems.
  • The study of these patterns offers valuable insights into the history and processes of our planet.
  • The presented example of pyrite band precipitation highlights the potential of these tools in sedimentary geochemistry.