2021
DOI: 10.1029/2020ja028479
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Kelvin–Helmholtz‐Related Turbulent Heating at Saturn's Magnetopause Boundary

Abstract: One of the grand challenge problems of the giant planet magnetospheres is the issue of nonadiabatic plasma heating. Simple turbulent heating models consider the energy cascade rate from one scale to another where the energy density is based on perpendicular magnetic fluctuations of counterpropagating Alfvén waves. Analytical expressions from turbulence theory for the heating rate density have yielded promising results for the observed ion heating at Jupiter and Saturn. Here, we compare ion heating using hybrid… Show more

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Cited by 15 publications
(11 citation statements)
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“…Runs (ii) and (iii) respectively correspond to qualitative increases in the helicity and cross-helicity-quantities often described in studies of solar-wind turbulence (Bruno & Carbone, 2016). The gradients of the curves in Figure 4a correspond to heating rates-for the amplitudes in the empirical wave model these rates are consistent with that which may be supplied by cross-scale energy transport when the observed spectrum is interpreted as a non-linear cascade of counterpropagating Alfvén waves (Delamere et al, 2020; see their Equation 13) Comparison of the curves presented in Figure 4a show that increases in the filamentation (Run ii vs. Run i) provide a commensurate increase in heating rate. This enhancement is partially a consequence of the increase of the orthogonal component of  E that the larger filamentation required to retain the same energy density in the 1-D spectrum.…”
Section: Discussionsupporting
confidence: 65%
“…Runs (ii) and (iii) respectively correspond to qualitative increases in the helicity and cross-helicity-quantities often described in studies of solar-wind turbulence (Bruno & Carbone, 2016). The gradients of the curves in Figure 4a correspond to heating rates-for the amplitudes in the empirical wave model these rates are consistent with that which may be supplied by cross-scale energy transport when the observed spectrum is interpreted as a non-linear cascade of counterpropagating Alfvén waves (Delamere et al, 2020; see their Equation 13) Comparison of the curves presented in Figure 4a show that increases in the filamentation (Run ii vs. Run i) provide a commensurate increase in heating rate. This enhancement is partially a consequence of the increase of the orthogonal component of  E that the larger filamentation required to retain the same energy density in the 1-D spectrum.…”
Section: Discussionsupporting
confidence: 65%
“…Nevertheless, the KH instability and the associated secondary instabilities are naturally associated with turbulence (Matsumoto and Hoshino, 2006;Stawarz et al, 2016;Nakamura et al, 2017;Nykyri et al, 2017;Dong et al, 2018;Nakamura et al, 2020), which has a long history of studies demonstrating that turbulent heating is a very effective mechanism for ion heating [e.g., Quataert (Quataert, 1998), Johnson and Cheng (Johnson and Cheng, 2001), Chandran et al (Chandran et al, 2010), Told et al (Told et al, 2015), Vasquez (Vasquez, 2015), Grošelj et al (Grošelj et al, 2017), Arzamasskiy et al (Arzamasskiy et al, 2019), Cerri et al (Cerri et al, 2021)]. Delamere et al (Delamere et al, 2021) estimated a turbulent ion heating rate density ≈10 -15 W m −3 during the nonlinear stage of 3-D hybrid KH instability simulations based on the typical Saturn's magnetopause boundary condition, which is consistent with the Cassini data analysis (Burkholder et al, 2020). Such estimations should also apply to investigate Earth's magnetopause boundary both from numerical simulation and observational data analysis, which, however, is out of scope of this paper.…”
Section: Resultsmentioning
confidence: 99%
“…Numerical simulations with hybrid or particle-in-cell models can be a useful tool to better understand the dissipation mechanisms and the associated transport of particles and energy (e.g., Delamere et al, 2021). Future models could focus on more realistic magnetic field geometries with current sheets and inhomogeneous plasma densities along field lines.…”
Section: Discussion: Outstanding Issues and Outlookmentioning
confidence: 99%