Abstract

Abstract The origin of the near-ultraviolet and optical continuum radiation in flares is critical for understanding particle acceleration and impulsive heating in stellar atmospheres. Radiative-hydrodynamic (RHD) simulations in 1D have shown that high energy deposition rates from electron beams produce two flaring layers at T ∼ 104 K that develop in the chromosphere: a cooling condensation (downflowing compression) and heated non-moving (stationary) flare layers just below the condensation. These atmospheres reproduce several observed phenomena in flare spectra, such as the red-wing asymmetry of the emission lines in solar flares and a small Balmer jump ratio in M dwarf flares. The high beam flux simulations are computationally expensive in 1D, and the (human) timescales for completing NLTE models with adaptive grids in 3D will likely be unwieldy for some time to come. We have developed a prescription for predicting the approximate evolved states, continuum optical depth, and emergent continuum flux spectra of RHD model flare atmospheres. These approximate prescriptions are based on an important atmospheric parameter: the column mass ( ) at which hydrogen becomes nearly completely ionized at the depths that are approximately in steady state with the electron beam heating. Using this new modeling approach, we find that high energy flux density (>F11) electron beams are needed to reproduce the brightest observed continuum intensity in IRIS data of the 2014 March 29 X1 solar flare, and that variation in from 0.001 to 0.02 g cm−2 reproduces most of the observed range of the optical continuum flux ratios at the peak of M dwarf flares.

Highlights

  • Stellar flares are thought to be produced from the atmospheric heating that results from coronal magnetic field reconnection and retraction

  • Using this new modeling approach, we find that high energy flux density (>F11) electron beams are needed to reproduce the brightest observed continuum intensity in Interface Region Imaging Spectrograph (IRIS) data of the 2014Mar-29 X1 solar flare and that variation in mref from 0.001 to 0.02 g cm−2 reproduces most of the observed range of the optical continuum flux ratios at the peaks of M dwarf flares

  • We present a method for obtaining prompt insight into the evolution of the radiative and hydrodynamic response to high energy deposition rates from electron beams with a low-to-moderate low-energy cutoff (Ec = 15 − 40 keV), providing important guidance about which heating models are most interesting to follow with RADYN for the full evolution

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Summary

INTRODUCTION

Tant insights into the atmospheric response that produces several well-observed spectral phenomena in M dwarf and solar flares. In magnetically active M dwarf (dMe) flares, the observed NUV and optical flare continuum (sometimes referred to as white-light radiation if detected in broadband optical radiation on the Sun or in the Johnson U -band in dMe stars) distribution can be reproduced in 1D model snapshots of a very dense, evolved CC that results from the extremely high energy flux density (∼ 1013 erg cm−2 s−1, hereafter F13) in nonthermal electron beams lasting several seconds (Kowalski et al 2015, 2016, 2017b). We show that our new modeling prescriptions can be used to produce broad wavelength flare spectral predictions

High Beam Flux Density RHD Modeling with the RADYN Code
The Critical Flare Atmosphere Reference Parameters
Predicting the CC Evolution from Tref and mref
Approximating the Heating in the Stationary Flare Layers
Emergent Continuum Spectra
DISCUSSION AND APPLICATION
Application to dMe Flares
Application to Superflares in Rapidly Rotating dG Stars
Implications for High Gravity dMe Flare Models
Application to dG Flares
SUMMARY AND CONCLUSIONS
Findings
TEMPERATURE WITHIN THE CC
TEMPERATURE WITHIN THE STATIONARY FLARE LAYERS

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