### Abstract

We present a new derivation of the acceleration of fast charged particles by random compressions and expansions based on a quasilinear approximation applied to the Parker transport equation, and explore its consequences. This process has been suggested in a recent series of papers by Fisk & Gloeckler (F&G) as the origin of the quiet-time suprathermal ion population observed throughout the inner heliosphere with an omnidirectional distribution function close to the form f(v)∞ v ^{-5}. Our derivation does not agree with a recent equation derived by F&G. We show that, while our equation conserves particles, the F&G equation does not. Solutions of the correct quasilinear equation are presented, which show that the compressive acceleration process does not produce power-law velocity spectra with indices less than (i.e., softer than) -3. We show that the transport equations for two other types of stochastic acceleration, by a spectrum of Alfvén waves and by transit-time damping of oblique magnetosonic waves, yield comparable acceleration rates but also do not produce power-law spectra with indices less than -3. Conversely, the process of diffusive shock acceleration, responsible for energetic storm particle events, corotating ion events and probably most large solar energetic particle (SEP) events, readily produces power-law velocity spectra with indices in a range including -5. It is suggested that the quiet-time suprathermal ion population is composed predominantly of remnant ions from these events as well as a contribution from impulsive SEP events.

Original language | English (US) |
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Pages (from-to) | 475-483 |

Number of pages | 9 |

Journal | Astrophysical Journal |

Volume | 713 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 2010 |

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### Keywords

- Acceleration of particles
- Interplanetary medium
- Turbulence

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science