Global Energetics of Solar Flares: V. Energy Closure in Flares and Coronal Mass Ejections

Abstract

In this study we synthesize the results of four previous studies on the global energetics of solar flares and associated coronal mass ejections (CMEs), which include magnetic, thermal, nonthermal, and CME energies in 399 solar M and X-class flare events observed during the first 3.5 years of the Solar Dynamics Observatory (SDO) mission. Our findings are: (1) The sum of the mean nonthermal energy of flare-accelerated particles ($E_{\mathrm{nt}}$), the energy of direct heating ($E_{\mathrm{dir}}$), and the energy in coronal mass ejections ($E_{\mathrm{CME}}$), which are the primary energy dissipation processes in a flare, is found to have a ratio of $(E_{\mathrm{nt}}+E_{\mathrm{dir}}+E_{\mathrm{CME}})/E_{\mathrm{mag}}=0.87\pm 0.18$, compared with the dissipated magnetic free energy $E_{\mathrm{mag}}$, which confirms energy closure within the measurement uncertainties and corroborates the magnetic origin of flares and CMEs; (2) The energy partition of the dissipated magnetic free energy is: $0.51\pm 0.17$ in nonthermal energy of $\ge 6$ keV electrons, $0.17\pm 0.17$ in nonthermal $\ge 1$ MeV ions, $0.07\pm 0.14$ in CMEs, and $0.07\pm 0.17$ in direct heating; (3) The thermal energy is almost always less than the nonthermal energy, which is consistent with the thick-target model; (4) The bolometric luminosity in white-light flares is comparable with the thermal energy in soft X-rays (SXR); (5) Solar Energetic Particle (SEP) events carry a fraction $\approx 0.03$ of the CME energy, which is consistent with CME-driven shock acceleration; and (6) The warm-target model predicts a lower limit of the low-energy cutoff at $e_c\approx 6$ keV, based on the mean differential emission measure (DEM) peak temperature of $T_e=8.6$ MK during flares. This work represents the first statistical study that establishes energy closure in solar flare/CME events.

arXiv comment35 pages, 10 Figures, accepted for publication in The Astrophysical Journal

References in corpus (32)

• Ionization balance for optically thin plasmas: rate coefficients for all atoms and ions of the elements H to Ni
• Confined and ejective eruptions of kink-unstable flux ropes
• The Two Sources of Solar Energetic Particles
• Global Energetics of Thirty-Eight Large Solar Eruptive Events
• CHIANTI - An atomic database for Emission Lines. Version 8
• Implications of X-ray Observations for Electron Acceleration and Propagation in Solar Flares
• Jet breaks and Energetics of Swift GRB X-ray Afterglows
• Non-linear force-free field modeling of a solar active region around the time of a major flare and coronal mass ejection
• Plasmoid Ejections and Loop Contractions in an Eruptive M7.7 Solar Flare: Evidence of Particle Acceleration and Heating in Magnetic Reconnection Outflows
• Energy- and flux-budget (EFB) turbulence closure model for the stably stratified flows. Part I: Steady-state, homogeneous regimes
• Sun-as-a-star Observation of White-Light Flares
• RHESSI Line and Continuum Observations of Super-hot Flare Plasma
• The Radiated Energy Budget of Chromospheric Plasma in a Major Solar Flare Deduced From Multi-Wavelength Observations
• Photometric and Thermal Cross-calibration of Solar EUV Instruments
• Global Energetics of Solar Flares: II. Thermal Energies
• Global Energetics of Solar Flares: I. Magnetic Energies
• The Thermal Properties of Solar Flares Over Three Solar Cycles Using GOES X-ray Observations
• Relationship of EUV Irradiance Coronal Dimming Slope and Depth to Coronal Mass Ejection Speed and Mass
• Global Energetics of Solar Flares: III. Non thermal Energies
• The effect of flares on total solar irradiance
• Collisional relaxation of electrons in a warm plasma and accelerated nonthermal electron spectra in solar flares
• Mechanisms and Observations of Coronal Dimming for the 2010 August 7 Event
• Constraining Solar Flare Differential Emission Measures with EVE and RHESSI
• Benchmark Test of Differential Emission Measure Codes and Multi-Thermal Energies in Solar Active Regions
• The Vertical Current Approximation Nonlinear Force-Free Field Code - Description, Performance Tests, and Measurements of Magnetic Energies Dissipated in Solar Flares
• Global Energetics of Solar Flares: IV. Coronal Mass Ejection Energetics
• The Compatibility of Flare Temperatures Observed with AIA, GOES, and RHESSI
• Hard X-ray footpoint sizes and positions as diagnostics of flare accelerated energetic electrons in the low solar atmosphere
• Hard X-Ray Imaging of Individual Spectral Components in Solar Flares
• A Nonlinear Force-Free Magnetic Field Approximation Suitable for Fast Forward-Fitting to Coronal Loops. III. The Free Energy
• Comparison of Emission Properties of two Homologous Flares in AR 11283
• The influence of albedo on the size of hard X-ray flare sources

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