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The Efficiency of Second-order Fermi Acceleration by Weakly Compressible Magnetohydrodynamic Turbulence

  • Authors: Jacob W. Lynn, Eliot Quataert, Benjamin D. G. Chandran, and Ian J. Parrish

Lynn et al. 2013 The Astrophysical Journal 777 128.

  • Provider: AAS Journals

Caption: Figure 9.

Initially Maxwellian distributions of test particles with v th = 0.5 and 2  c s are simulated for t = 20 L/ c s (many eddy turnover times), with a high scattering rate ν = 10 3c s / L. We show the initial (solid) and final (dotted) distributions, as well as at an intermediate time (dashed). Power-law tails develop in the velocity regime with the enhanced Dv 4 velocity diffusion in Figure 4. There is not, however, a "universal" power-law slope to the resulting distribution function. Instead, the slope depends on time, thermal velocity of the distribution, and pitch-angle scattering rate (the latter dependence is not explicitly shown here). f( v) shown here is the one-dimensional distribution function, normalized such that the density is n 0 = ∫ dvf( v).

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