2023
DOI: 10.3847/1538-4357/ad0461
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Rankine–Hugoniot Relations and Magnetic Field Enhancement in Turbulent Shocks

Michael Gedalin

Abstract: In fast collisionless shocks, the density and magnetic field increase and the plasma is heated. The compression and heating are ultimately determined by the Rankine–Hugoniot relations connecting the upstream and downstream parameters. The standard Rankine–Hugoniot relations take into account only mean upstream and downstream parameters. Observations at the Earth's bow shock show that the downstream magnetic field does not always relax to a uniform state, but large amplitude magnetic oscillations persist. Here,… Show more

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Cited by 7 publications
(3 citation statements)
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“…Although our analysis does not depend on the validity of the R-H jump conditions, we discuss how common it is for IP shocks to comply with them. While it is generally accepted that for laminar low Mach number shocks, standard textbook R-H conditions capture the evolution of magnetic field and plasma parameters across the shock front, the situation is much more complex when the upstream medium contains some level of self-induced or preexisting population of magnetic field and plasma fluctuations (Trotta et al 2022b;Gedalin 2023;Trotta et al 2023a). The two mutually connected phenomena showing the complexity of the problem are the shock normal variability (connected to the shock rippling) and order-of-one fluctuations of the magnetic field (δB/B 0 ∼ 1) in upstream/downstream regions.…”
Section: Discussionmentioning
confidence: 99%
“…Although our analysis does not depend on the validity of the R-H jump conditions, we discuss how common it is for IP shocks to comply with them. While it is generally accepted that for laminar low Mach number shocks, standard textbook R-H conditions capture the evolution of magnetic field and plasma parameters across the shock front, the situation is much more complex when the upstream medium contains some level of self-induced or preexisting population of magnetic field and plasma fluctuations (Trotta et al 2022b;Gedalin 2023;Trotta et al 2023a). The two mutually connected phenomena showing the complexity of the problem are the shock normal variability (connected to the shock rippling) and order-of-one fluctuations of the magnetic field (δB/B 0 ∼ 1) in upstream/downstream regions.…”
Section: Discussionmentioning
confidence: 99%
“…The shock variability, particularly important for supercritical shocks, on a variety of scales (e.g., Marghitu et al 2017;Kajdič et al 2019Kajdič et al , 2021, may therefore introduce fluctuations in the decompression. Finally, as discussed in the Appendix, the decompression method makes use of the Rankine-Hugoniot jump conditions without including waves and/or turbulence (e.g., Zank et al 2002;Gedalin 2023). This technique can be further improved, in future studies, to mitigate the above limitations.…”
Section: The Shock At Parker Solar Probementioning
confidence: 99%
“…The latest development, based on the close inspection of the MMS section of the database and the corresponding shock plots, is the identification of shocks with persistent downstream fluctuations of the magnetic field in incorporation of this turbulence in the Rankine-Hugoniot relations (Gedalin, 2023a(Gedalin, , 2023b.…”
Section: Conclusion: Database Usage and Importancementioning
confidence: 99%