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Title: Double-power-law Feature of Energetic Particles Accelerated at Coronal Shocks

Journal Article · · The Astrophysical Journal. Letters

Recent observations have shown that in many large solar energetic particle (SEP) events the event-integrated differential spectra resemble double power laws. We perform numerical modeling of particle acceleration at coronal shocks propagating through a streamer-like magnetic field by solving the Parker transport equation, including protons and heavier ions. We find that for all ion species the energy spectra integrated over the simulation domain can be described by a double power law, and the break energy depends on the ion charge-to-mass ratio as EB ~ (Q/A)α, with α varying from 0.16 to 1.2 by considering different turbulence spectral indices. We suggest that the double-power-law distribution may emerge as a result of the superposition of energetic particles from different source regions where the acceleration rates differ significantly due to particle diffusion. The diffusion and mixing of energetic particles could also provide an explanation for the increase of Fe/O at high energies as observed in some SEP events. Although further mixing processes may occur, our simulations indicate that either a power-law break or rollover can occur near the Sun and predict that the spectral forms vary significantly along the shock front, which may be examined by upcoming near-Sun SEP measurements from the Parker Solar Probe and Solar Orbiter.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001; SC0020219
OSTI ID:
2005824
Report Number(s):
LA-UR--21-27255
Journal Information:
The Astrophysical Journal. Letters, Journal Name: The Astrophysical Journal. Letters Journal Issue: 2 Vol. 925; ISSN 2041-8205
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (58)

Energy Spectra, Composition, and Other Properties of Ground-Level Events During Solar Cycle 23 journal May 2012
Properties of Ground Level Enhancement Events and the Associated Solar Eruptions During Solar Cycle 23 journal June 2012
Large gradual solar energetic particle events journal September 2016
The passage of energetic charged particles through interplanetary space journal January 1965
Particle acceleration at the Sun and in the heliosphere journal October 1999
Particle acceleration and coronal mass ejection driven shocks: A theoretical model journal November 2000
Acceleration and transport of heavy ions at coronal mass ejection-driven shocks journal January 2005
Heavy ion abundances and spectra from the large solar energetic particle events of October-November 2003: HEAVY ION ABUNDANCES AND SPECTRA journal August 2005
Proton, helium, and electron spectra during the large solar particle events of October-November 2003: PROTON, HELIUM, AND ELECTRON SPECTRA journal September 2005
Particle acceleration at perpendicular shock waves: Model and observations journal January 2006
The Ground-Level Enhancement Event of September 2017 and Other Large Solar Energetic Particle Events of Cycle 24 journal October 2018
Spectral Analysis of the September 2017 Solar Energetic Particle Events journal March 2019
A quasi-linear kinetic equation for cosmic rays in the interplanetary medium journal May 1976
Propagation of cosmic rays in the solar wind journal January 1971
Diffusive shock acceleration to relativistic energies in the solar corona journal October 2009
Heavy-ion acceleration and self-generated waves in coronal shocks journal October 2011
Cosmic-Ray Propagation. I. Charged Particles in a Random Magnetic Field journal November 1966
The diffusive idealization of charged-particle transport in random magnetic fields journal October 1974
Shock acceleration of electrons and ions in solar flares journal November 1985
Models of partially open magnetospheres with and without magnetodisks journal November 1986
BATSE observations of gamma-ray burst spectra. I - Spectral diversity journal August 1993
Transport of solar energetic particles journal February 1994
A Markov Stochastic Process Theory of Cosmic‐Ray Modulation journal March 1999
The Transport of Cosmic Rays across a Turbulent Magnetic Field journal July 1999
Particle Acceleration at Shocks Moving through an Irregular Magnetic Field journal May 2005
Shock Geometry, Seed Populations, and the Origin of Variable Elemental Composition at High Energies in Large Gradual Solar Particle Events journal May 2005
The Efficient Acceleration of Thermal Protons by Perpendicular Shocks journal June 2005
A Model for Spectral and Compositional Variability at High Energies in Large, Gradual Solar Particle Events journal August 2006
Simulation Results for Heavy Ion Spectral Variability in Large Gradual Solar Energetic Particle Events journal June 2007
Solar Release Times of Energetic Particles in Ground-Level Events journal March 2009
Shock Geometry and Spectral Breaks in Large sep Events journal August 2009
Particle Acceleration by Collisionless Shocks Containing Large-Scale Magnetic-Field Variations journal November 2010
A Coronal Seismological Study with Streamer Waves journal February 2011
Interplanetary Propagation of Solar Energetic Particle Heavy ions Observed at 1 au and the role of Energy Scaling journal November 2012
ON THE SPECTRAL HARDENING AT ≳300 keV IN SOLAR FLARES journal May 2013
GLOBAL CORONAL SEISMOLOGY IN THE EXTENDED SOLAR CORONA THROUGH FAST MAGNETOSONIC WAVES OBSERVED BYSTEREOSECCHI COR1 journal September 2013
Properties of a Coronal Shock wave as a Driver of Early sep Acceleration journal January 2015
Scatter-Dominated Interplanetary Transport of Solar Energetic Particles in Large Gradual Events and the Formation of Double Power-Law Differential Fluence Spectra of Ground-Level Events During Solar Cycle 23 journal September 2015
Particle Acceleration at low Coronal Compression Regions and Shocks journal September 2015
The First Ground Level Enhancement Event of Solar Cycle 24: Direct Observation of Shock Formation and Particle Release Heights journal February 2013
Shock Propagation and Associated Particle Acceleration in the Presence of Ambient Solar-Wind Turbulence journal April 2021
Spectral Properties of Large Gradual Solar Energetic Particle Events. i. fe, o, and seed Material journal January 2016
Electron Acceleration at a Coronal Shock Propagating Through a Large-Scale Streamer-Like Magnetic Field journal April 2016
Double Power laws in the Event-Integrated Solar Energetic Particle Spectrum journal April 2016
SPECTRAL PROPERTIES OF LARGE GRADUAL SOLAR ENERGETIC PARTICLE EVENTS. II. SYSTEMATIC Q/M DEPENDENCE OF HEAVY ION SPECTRAL BREAKS journal September 2016
Deriving the Properties of Coronal Pressure Fronts in 3d: Application to the 2012 may 17 Ground Level Enhancement journal December 2016
The Effects of Interplanetary Transport in the Event-intergrated Solar Energetic Particle Spectra journal February 2017
Investigating the Origins of Two Extreme Solar Particle Events: Proton Source Profile and Associated Electromagnetic Emissions journal April 2017
Characteristics of Solar Energetic Ions as a Function of Longitude journal July 2017
The Acceleration of Charged Particles at a Spherical Shock Moving through an Irregular Magnetic Field journal October 2017
The Acceleration of High-energy Protons at Coronal Shocks: The Effect of Large-scale Streamer-like Magnetic Field Structures journal December 2017
Solar Energetic Particle Events Observed by the PAMELA Mission journal July 2018
Large-scale Compression Acceleration during Magnetic Reconnection in a Low- β Plasma journal October 2018
Connecting the Properties of Coronal Shock Waves with Those of Solar Energetic Particles journal May 2019
The Acceleration of Energetic Particles at Coronal Shocks and Emergence of a Double Power-law Feature in Particle Energy Spectra journal September 2019
Evidence for a Coronal Shock Wave Origin for Relativistic Protons Producing Solar Gamma-Rays and Observed by Neutron Monitors at Earth journal April 2020
On the Size of the Flare Associated with the Solar Proton Event in 774 AD journal October 2020
The Acceleration and Confinement of Energetic Electrons by a Termination Shock in a Magnetic Trap: An Explanation for Nonthermal Loop-top Sources during Solar Flares journal December 2019