Non-linear Evolution of Self-Generated Kolmogorov Turbulence in SEP-Accelerating Coronal Shocks

Mathematics – Logic

Scientific paper

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7513 Coronal Mass Ejections (2101), 7839 Nonlinear Phenomena (4400, 6944), 7845 Particle Acceleration, 7867 Wave/Particle Interactions (2483, 6984)

Scientific paper

Acceleration in coronal and interplanetary CME-driven shocks is currently considered the primary source of large solar energetic particle intensities. A requirement for rapid acceleration and escape is strong turbulence trapping in front of the shock and weaker trapping further out. Such a turbulent structure can, in large events, be maintained by streaming of the accelerated particles themselves. While a steady-state description for this process has been known for decades, current research has focused on time-dependent modeling. In a recent study, Vainio and Laitinen reported on an approach including particle acceleration by self-generated waves but no non-linear evolution of the turbulent wave spectrum. Instead, an ad-hoc linear diffusion of the wave spectrum was employed. While this simplification was sufficient for the first study, the non-linear nature of turbulence must be taken into account. To that end, we employ the phenomenological Kolmogorov turbulence evolution description for non-linear diffusion in frequency. Our study presents the effects on the obtained particle and turbulence spectra, followed by discussion on the challenges associated with turbulence modeling and the work needed for improving the consistency of particle acceleration by self-generated waves.

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