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Hybrid-kinetic Simulations of Ion Heating in Alfvénic Turbulence

  • Authors: Lev Arzamasskiy, Matthew W. Kunz, Benjamin D. G. Chandran, and Eliot Quataert

2019 The Astrophysical Journal 879 53.

  • Provider: AAS Journals

Caption: Figure 8.

Box-averaged perpendicular-energy diffusion coefficient, ﹩\langle {D}_{\perp \perp }^{{\rm{E}}}\rangle ﹩ (see Equation (10)), averaged over two time windows: (a) at early times, during which the core of the perpendicular distribution function becomes appreciably flattened, and (b) at late times after f(w) is cored and during which its temperature steadily grows (the stated values of ﹩{T}_{\perp }^{\mathrm{tail}}/{T}_{{\rm{i}}0}﹩ are obtained from a Maxwellian fit to the ﹩{w}_{\perp }/{v}_{\mathrm{thi}0}\gt 1﹩ tail of the distribution function). At late times, the diffusion coefficient is flat for ﹩{w}_{\perp }\lt {v}_{\mathrm{thi}0};﹩ because df(w)/dw ∼ 0 in this range, very little heating happens at small velocities. At larger velocities, ﹩\langle {D}_{\perp \perp }^{{\rm{E}}}\rangle \propto {w}_{\,\perp }^{4}﹩ seems to be a fair approximation. In all panels, “⊥” is measured with respect to the magnetic field at the location of each particle.

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