Dreicer electric field definition and runaway electrons in solar flares

Fuente: arXiv
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Autores principales: Tsap, Yu. T., Stepanov, A. V., Kopylova, Yu. G.
Formato: Preprint
Publicado: 2024
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author Tsap, Yu. T.
Stepanov, A. V.
Kopylova, Yu. G.
author_facet Tsap, Yu. T.
Stepanov, A. V.
Kopylova, Yu. G.
contents We analyse electron acceleration by a large-scale electric field $E$ in a collisional hydrogen plasma under the solar flare coronal conditions based on approaches proposed by Dreicer and Spitzer for the dynamic friction force of electrons. The Dreicer electric field $E_{Dr}$ is determined as a critical electric field at which the entire electron population runs away. Two regimes of strong ($E \lesssim E_{Dr}$) and weak ($E \ll E_{Dr}$) electric field are discussed. It is shown that the commonly used formal definition of the Dreicer field leads to an overestimation of its value by about five times. The critical velocity at which the electrons of the ``tail'' of the Maxwell distribution become runaway under the action of the sub-Dreiser electric fields turns out to be underestimated by $\sqrt{3}$ times in some works because the Coulomb collisions between runaway and thermal electrons are not taken into account. The electron acceleration by sub-Dreicer electric fields generated in the solar corona faces difficulties.
format Preprint
id arxiv_https___arxiv_org_abs_2401_04591
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dreicer electric field definition and runaway electrons in solar flares
Tsap, Yu. T.
Stepanov, A. V.
Kopylova, Yu. G.
Solar and Stellar Astrophysics
Plasma Physics
We analyse electron acceleration by a large-scale electric field $E$ in a collisional hydrogen plasma under the solar flare coronal conditions based on approaches proposed by Dreicer and Spitzer for the dynamic friction force of electrons. The Dreicer electric field $E_{Dr}$ is determined as a critical electric field at which the entire electron population runs away. Two regimes of strong ($E \lesssim E_{Dr}$) and weak ($E \ll E_{Dr}$) electric field are discussed. It is shown that the commonly used formal definition of the Dreicer field leads to an overestimation of its value by about five times. The critical velocity at which the electrons of the ``tail'' of the Maxwell distribution become runaway under the action of the sub-Dreiser electric fields turns out to be underestimated by $\sqrt{3}$ times in some works because the Coulomb collisions between runaway and thermal electrons are not taken into account. The electron acceleration by sub-Dreicer electric fields generated in the solar corona faces difficulties.
title Dreicer electric field definition and runaway electrons in solar flares
topic Solar and Stellar Astrophysics
Plasma Physics
url https://arxiv.org/abs/2401.04591