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Equilibria and condensates in Rossby and drift wave turbulence
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Skipp, Jonathan and Nazarenko, Sergey (2021) Equilibria and condensates in Rossby and drift wave turbulence. Journal of Physics A: Mathematical and Theoretical, 55 (1). 015701. 015701. doi:10.1088/1751-8121/ac3946
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Official URL: https://doi.org/10.1088/1751-8121/ac3946
Abstract
We study the thermodynamic equilibrium spectra of the Charney–Hasegawa–Mima (CHM) equation in its weakly nonlinear limit. In this limit, the equation has three adiabatic invariants, in contrast to the two invariants of the 2D Euler or Gross–Pitaevskii equations, which are examples for comparison. We explore how the third invariant considerably enriches the variety of equilibrium spectra that the CHM system can access. In particular we characterise the singular limits of these spectra in which condensates occur, i.e. a single Fourier mode (or pair of modes) accumulate(s) a macroscopic fraction of the total invariants. We show that these equilibrium condensates provide a simple explanation for the characteristic structures observed in CHM systems of finite size: highly anisotropic zonal flows, large-scale isotropic vortices, and vortices at small scale. We show how these condensates are associated with combinations of negative thermodynamic potentials (e.g. temperature).
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
| SWORD Depositor: | Library Publications Router | ||||||
| Journal or Publication Title: | Journal of Physics A: Mathematical and Theoretical | ||||||
| Publisher: | IOP Publishing | ||||||
| ISSN: | 1751-8121 | ||||||
| Official Date: | 3 December 2021 | ||||||
| Dates: |
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| Volume: | 55 | ||||||
| Number: | 1 | ||||||
| Page Range: | 015701 | ||||||
| Article Number: | 015701 | ||||||
| DOI: | 10.1088/1751-8121/ac3946 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Reuse Statement (publisher, data, author rights): | |||||||
| Access rights to Published version: | Open Access | ||||||
| Related URLs: |
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