arXiv · 2610.40925
Equipartition between Alfvénic turbulence and energetic ions as the origin of the -5 common spectrum in the heliosphere
Abstract
Suprathermal ion tails throughout the heliosphere follow a ``common spectrum,'' $f(v)\propto v^{-5}$. We show that scale-by-scale equipartition between strong Alfvénic turbulence and the ions it accelerates predicts both this exponent and the absolute amplitude, $F(v)=B^2/(16π^3 m_i v^5)$, with no free parameters. The prediction agrees within a factor of a few with ACE and Voyager 1 spectra across three decades in magnetic energy. We argue that this saturated level is reached where strong turbulence accelerates particles locally; quiet-time tails lie well below it, consistent with nonlocal acceleration.
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Stanislav Boldyrev, Daniel Humphrey, Vadim Roytershteyn. 2026-10-29. Equipartition between Alfvénic turbulence and energetic ions as the origin of the -5 common spectrum in the heliosphere. https://arxiv.org/abs/2610.40925
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