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The Atmospheric Response to Large Electron Beam Fluxes in Solar Flares III: Comprehensive Modeling of the Brightest Observed Near-Ultraviolet Continuum Source in an X9 Solar Flare

Adam F. Kowalski

TL;DR

This study tests high-flux electron-beam heating scenarios in solar flares by confronting 1D RADYN RHD models with comprehensive IRIS and CHASE observations of a remarkable X9 flare. The analysis shows that dense chromospheric condensations with electron densities around $n_e \approx 5\times10^{14}$ cm$^{-3}$ can reproduce extreme NUV continua and Hα near-wing broadening, but fail to match the brightness of Fe II red-wing components, the detailed Fe I/II line evolution, and the observed NUV-to-FUV continuum ratios, implying faster-than-realistic cooling or missing physics in the models. The work highlights the need for improved beam transport physics, opacities, and possibly multi-dimensional radiative-hydrodynamic treatments to capture the full spectral evolution. It also underscores a solar–stellar flare discrepancy, as solar kernels remain brighter in NUV relative to FUV than some stellar megaflare spectra, guiding future cross-discipline refinements. Overall, while high-flux beam models explain several salient kernel properties, precise reproduction of all spectral diagnostics requires advances in radiative transfer and condensations modeling beyond current 1D RADYN implementations.

Abstract

I report on the high resolution spectra of the remarkable X9 solar flare of 2024 Oct 03 (SOL2024-10-03T12:08) and evaluate the extent to which nonthermal electron beams that generate dense chromospheric condensations can power very bright kernels in solar flares. 1D Radiative-hydrodynamic models predict extreme H$α$ near-wing broadening, bright continuum intensities, and a rapid Fe II red wing asymmetry evolution at the brightest NUV continuum source in the flare. Detailed comparisons to the spectral observations reveal that the H$α$ line is too broad, the Fe II red wing is too bright, and the NUV continuum decays too slowly in a fiducial high-flux beam model. However, chromospheric condensations with maximum electron densities of $n_e \approx 5 \times 10^{14}$ cm$^{-3}$ and optical depths $τ\approx 1$ in the near wing of H$α$ are consistent with the observed intensity of a broad spectrum in the Southern ribbon. Model similarities demonstrate that Fe I emission lines and the FUV continuum intensity can form at chromospheric heights during flares, but I find that the ratios of the NUV to FUV continuum intensities are generally too large in the models. This suggests that radiative-hydrodynamic models of chromospheric condensations cool through $T \approx 30,000$ K too rapidly. The larger than expected FUV continuum intensities are not nearly bright enough to explain recent stellar megaflare spectra from the Hubble Space Telescope.

The Atmospheric Response to Large Electron Beam Fluxes in Solar Flares III: Comprehensive Modeling of the Brightest Observed Near-Ultraviolet Continuum Source in an X9 Solar Flare

TL;DR

This study tests high-flux electron-beam heating scenarios in solar flares by confronting 1D RADYN RHD models with comprehensive IRIS and CHASE observations of a remarkable X9 flare. The analysis shows that dense chromospheric condensations with electron densities around cm can reproduce extreme NUV continua and Hα near-wing broadening, but fail to match the brightness of Fe II red-wing components, the detailed Fe I/II line evolution, and the observed NUV-to-FUV continuum ratios, implying faster-than-realistic cooling or missing physics in the models. The work highlights the need for improved beam transport physics, opacities, and possibly multi-dimensional radiative-hydrodynamic treatments to capture the full spectral evolution. It also underscores a solar–stellar flare discrepancy, as solar kernels remain brighter in NUV relative to FUV than some stellar megaflare spectra, guiding future cross-discipline refinements. Overall, while high-flux beam models explain several salient kernel properties, precise reproduction of all spectral diagnostics requires advances in radiative transfer and condensations modeling beyond current 1D RADYN implementations.

Abstract

I report on the high resolution spectra of the remarkable X9 solar flare of 2024 Oct 03 (SOL2024-10-03T12:08) and evaluate the extent to which nonthermal electron beams that generate dense chromospheric condensations can power very bright kernels in solar flares. 1D Radiative-hydrodynamic models predict extreme H near-wing broadening, bright continuum intensities, and a rapid Fe II red wing asymmetry evolution at the brightest NUV continuum source in the flare. Detailed comparisons to the spectral observations reveal that the H line is too broad, the Fe II red wing is too bright, and the NUV continuum decays too slowly in a fiducial high-flux beam model. However, chromospheric condensations with maximum electron densities of cm and optical depths in the near wing of H are consistent with the observed intensity of a broad spectrum in the Southern ribbon. Model similarities demonstrate that Fe I emission lines and the FUV continuum intensity can form at chromospheric heights during flares, but I find that the ratios of the NUV to FUV continuum intensities are generally too large in the models. This suggests that radiative-hydrodynamic models of chromospheric condensations cool through K too rapidly. The larger than expected FUV continuum intensities are not nearly bright enough to explain recent stellar megaflare spectra from the Hubble Space Telescope.

Paper Structure

This paper contains 15 sections, 4 equations, 11 figures.

Figures (11)

  • Figure 1: Calibration of the CHASE H$\alpha$ and Fe I spectra to specific intensity. The corrections reproduce the detailed shape of the H$\alpha$ wings from the Neckel-Hamburg disk-center intensity atlas.
  • Figure 2: Contextual images of the flare ribbons in IRIS SJI 1330. The contours of $5\times 10^8$, $1.25 \times 10^9$, and $2.5 \times 10^9$ erg cm$^{-2}$ s$^{-1}$ sr$^{-1}$ Å$^{-1}$ emphasize the locations of the kernels against the background intensity scaling, which is logarithmic (base-10). These images span the nearest times to the source of the brightest peak continuum intensity in the NUV spectra, indicated by a red circle. The dark features are dust specks that are incorrectly removed during flat fielding (IRIS Technical Note 16). A movie is available online. The movie shows the bright Southern ribbon moving downward as it crosses the slit at the location of the red dot. The same contours as in this figure are included in the movie of the flare. The time range for the movie is 12:07:55 to 12:28:55.
  • Figure 3: Flare-only spectrum from the 2014-Mar-29 bright footpoint #1 ("BFP1"; Paper I). Horizontal lines show intensity levels within the C2815, C2826, and C2832 wavelength windows, which are indicated by grey shaded areas. In this paper, we adopt C2815$^{\prime}$ as a proxy for bona-fide NUV flare continuum intensity.
  • Figure 4: Deconvolved C2815$^{\prime}$ continuum intensity at the bright source (BFP1) indicated by the red circle in Figure \ref{['fig:context']}. The injected flux density of an electron beam in model m20s-5F11-25-4 is shown on the right axis compared to the calculated C2830$^{\prime}$ light curve. The peak intensities and the general temporal morphologies are similar. Vertical dashed lines indicate times that are color-coded to the six spectra in Figure \ref{['fig:FeIISpec']}(a). The model light curve has been offset by 10 s to align the peak NUV continuum intensities.
  • Figure 5: (a) Spectra of Fe I and Fe II (with rest wavelengths indicated by vertical dashed lines) color-coded to the times indicated in Figure \ref{['fig:lcs']}. The vertical dotted lines indicate the wavelengths used in the C2815 continuum intensity calculation. (b) Spectra calculated from the m20s-5F11-25-4 model evolution at similar temporal spacings as in panel (a). (c) LTE emissivity calculations of the Fe I and Fe II lines in panel (a). Vertical lines correspond to the temperatures at representative locations within the model flare atmosphere. Fe II greatly outshines Fe I at $T > 10^4$ K, but they have comparable emissivities at lower temperatures. (d) Contribution function to the emergent intensity at $t=14.0$ s in the model evolution in panel (b). At this time, the Fe II $\tau(\lambda)=1$ surface is located in the chromospheric condensation, while the Fe I is just starting to build up optical depth at redshifted wavelengths. There is no contribution from deeper layers near the photosphere. Vertical dashed lines indicate the rest wavelengths of Fe I $\lambda 2814.115$ and Fe II $\lambda 2814.445$. The approximate height range of the chromospheric condensation is annotated as "CC" on the left axis. (e) The contribution function to the emergent intensity at $t=15.0$ s in the model evolution of panel (b).
  • ...and 6 more figures