A compact exact law for compressible isothermal Hall magnetohydrodynamic turbulence
| Autor: | Fouad Sahraoui, Sébastien Galtier, R. Ferrand |
|---|---|
| Přispěvatelé: | Laboratoire de Physique des Plasmas (LPP), Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-École polytechnique (X)-Sorbonne Université (SU)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
[PHYS]Physics [physics] Reynolds number Invariant (physics) Condensed Matter Physics Space (mathematics) Magnetohydrodynamic turbulence 01 natural sciences Isothermal process Magnetic field symbols.namesake Law 0103 physical sciences Physics::Space Physics symbols Compressibility Magnetohydrodynamic drive 010306 general physics 010303 astronomy & astrophysics |
| Zdroj: | Journal of Plasma Physics Journal of Plasma Physics, Cambridge University Press (CUP), 2021, 87 (2), ⟨10.1017/S0022377821000374⟩ |
| ISSN: | 0022-3778 1469-7807 |
| DOI: | 10.1017/S0022377821000374⟩ |
| Popis: | Using mixed second-order structure functions, a compact exact law is derived for isothermal compressible Hall magnetohydrodynamic turbulence with the assumptions of statistical homogeneity, time stationarity and infinite kinetic/magnetic Reynolds numbers. The resulting law is written as the sum of a Yaglom-like flux term, with an overall expression strongly reminiscent of the incompressible law, and a pure compressible source. Being mainly a function of the increments, the compact law is Galilean invariant but is dependent on the background magnetic field if one is present. Only the magnetohydrodynamic source term requires multi-spacecraft data to be estimated whereas the other components, which include those introduced by the Hall term, can be fully computed with single-spacecraft data using the Taylor hypothesis. These properties make this compact law more appropriate for analysing both numerical simulations and in situ data gathered in space plasmas, in particular when only single-spacecraft data are available. |
| Databáze: | OpenAIRE |
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