# Topological origin of equatorial waves

@article{Delplace2017TopologicalOO, title={Topological origin of equatorial waves}, author={Pierre Delplace and J. B. Marston and Antoine Venaille}, journal={Science}, year={2017}, volume={358}, pages={1075 - 1077} }

Fluid waves with topological origins Topological effects that arise from material boundaries are well known in solid-state physics and form the basis for topological insulators. Delplace et al. describe atmospheric and ocean waves that appear to have a similar topological origin (see the Perspective by Biello and Dimofte). The waves exist because of the symmetry-breaking nature of Earth's rotation, which allows certain fixed topological constraints on the system. These findings may be useful…

## 117 Citations

Topological Waves in Astrophysical and Geophysical Flows

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Topology is introducing new tools for the study of fluid waves. The existence of unidirectional Yanai and Kelvin equatorial waves has been related to a topological invariant, the Chern number, that…

Odd bulk-interface correspondence in fluids

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Topology is bringing new tools for the study of fluid waves. The existence of unidirectional Yanai and Kelvin equatorial waves has been related to a topological invariant, the Chern number, that…

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Lamb waves are trapped acoustic-gravity waves that propagate energy over great distances along a solid boundary in density-stratified, compressible fluids1,2. They constitute useful indicators of…

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We investigate the occurrence of topologically protected waves in classical fluids confined on curved surfaces. Using a combination of topological band theory and real space analysis, we demonstrate…

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Topology and symmetry have emerged as compelling guiding principles to predict and harness the propagation of waves in natural and artificial materials. Be it for quantum particles (such as…

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The physics of topological insulators makes it possible to understand and predict the existence of unidirectional waves trapped along an edge or an interface. In this review, we describe how these…

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- 2022

A theoretical framework is developed to describe the Topological Langmuir-Cyclotron Wave (TLCW), a recently identiﬁed topological surface excitation in magnetized plasmas. As a topological wave, the…

Topological localization in out-of-equilibrium dissipative systems

- PhysicsProceedings of the National Academy of Sciences
- 2018

This paper reports that notions of topological protection can be applied to stationary configurations that are driven far from equilibrium by active, dissipative processes, and considers two physically disparate systems: stochastic networks governed by microscopic single-particle dynamics, and collections of driven interacting particles described by coarse-grained hydrodynamic theory.

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