“…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.…”