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- W4306875478 abstract "Abstract Recent observational and numerical studies show a variety of thermal structures in the solar chromosphere. Given that the thermal interplay across the transition region is a key to coronal heating, it is worth investigating how different thermal structures of the chromosphere yield different coronal properties. In this work, by MHD simulations of Alfvén-wave heating of coronal loops, we study how the coronal properties are affected by the chromospheric temperature. To this end, instead of solving the radiative transfer equation, we employ a simple radiative loss function so that the chromospheric temperature is easily tuned. When the chromosphere is hotter, because the chromosphere extends to a larger height, the coronal part of the magnetic loop becomes shorter, which enhances the conductive cooling. A larger loop length is therefore required to maintain the high-temperature corona against the thermal conduction. From our numerical simulations we derive a condition for the coronal formation with respect to the half loop length l loop in a simple form: <?CDATA ${l}_{mathrm{loop}}gt {{aT}}_{min }+{l}_{mathrm{th}}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msub> <mml:mrow> <mml:mi>l</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>loop</mml:mi> </mml:mrow> </mml:msub> <mml:mo>></mml:mo> <mml:msub> <mml:mrow> <mml:mi mathvariant=italic>aT</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>min</mml:mi> </mml:mrow> </mml:msub> <mml:mo>+</mml:mo> <mml:msub> <mml:mrow> <mml:mi>l</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>th</mml:mi> </mml:mrow> </mml:msub> </mml:math> , where <?CDATA ${T}_{min }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msub> <mml:mrow> <mml:mi>T</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>min</mml:mi> </mml:mrow> </mml:msub> </mml:math> is the minimum temperature in the atmosphere, and parameters a and l th have negative dependencies on the coronal field strength. Our conclusion is that the chromospheric temperature has a nonnegligible impact on coronal heating for loops with small lengths and weak coronal fields. In particular, the enhanced chromospheric heating could prevent the formation of the corona." @default.
- W4306875478 created "2022-10-20" @default.
- W4306875478 creator A5038512465 @default.
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- W4306875478 date "2022-10-01" @default.
- W4306875478 modified "2023-10-14" @default.
- W4306875478 title "The Effect of the Chromospheric Temperature on Coronal Heating" @default.
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- W4306875478 doi "https://doi.org/10.3847/1538-4357/ac91c8" @default.
- W4306875478 hasPublicationYear "2022" @default.
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