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Topological origin of equatorial waves.

Pierre Delplace1, J B Marston2, Antoine Venaille1

  • 1Université de Lyon, ENS (École Normale Supérieure) de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, AF-69342 Lyon, France. pierre.delplace@ens-lyon.fr marston@brown.edu antoine.venaille@ens-lyon.fr.

Science (New York, N.Y.)
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PubMed
Summary
This summary is machine-generated.

Topology explains unique edge waves in geophysical flows. Earth's rotation creates topological properties in ocean and atmospheric waves, similar to topological insulators.

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Area of Science:

  • Geophysics
  • Condensed Matter Physics
  • Climate Science

Background:

  • Unidirectional edge waves are observed in diverse physical systems, including geophysical flows.
  • These waves exhibit robustness to perturbations, hinting at a topological origin.
  • Earth's rotation breaks time-reversal symmetry, a key factor in topological phenomena.

Purpose of the Study:

  • To investigate the topological origin of equatorially trapped waves, specifically Kelvin and Yanai modes.
  • To demonstrate the connection between geophysical waves and topological concepts.
  • To highlight the role of topology in Earth's climate system.

Main Methods:

  • Analyzing the bulk Poincaré wave modes.
  • Utilizing the first Chern number as a topological invariant.
  • Connecting wave properties to the concept of topological insulators.

Main Results:

  • A topological origin was identified for Kelvin and Yanai modes.
  • The first Chern number of 2 was found to characterize the nontrivial structure of bulk modes, guaranteeing wave existence.
  • Ocean and atmospheric waves share fundamental properties with topological insulators.

Conclusions:

  • Topology provides a new framework for understanding unidirectional edge waves in geophysical systems.
  • Earth's rotation is crucial for establishing the topological properties of these waves.
  • Topology plays a significant, previously unrecognized role in the dynamics of Earth's climate system.