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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 ISSN 1751-8121.

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Official URL: https://doi.org/10.1088/1751-8121/ac3946

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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:
DateEvent
3 December 2021Published
12 November 2021Accepted
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 (Creative Commons)
Related URLs:
  • https://creativecommons.org/licenses/by/...

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