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Title: Critical role of electron heat flux on Bohm criterion

Bohm criterion, originally derived for an isothermal-electron and cold-ion plasma, is often used as a rule of thumb for more general plasmas. Here, we establish a more precise determination of the Bohm criterion that are quantitatively useful for understanding and modeling collisional plasmas that still have collisional mean-free-path much greater than plasma Debye length. Specifically, it is shown that electron heat flux, rather than the isothermal electron assumption, is what sets the Bohm speed to be $$\sqrt{k_B(T_e||+3T_i||)/m_i}$$ with T e,i∥ the electron and ion parallel temperature at the sheath entrance and m i the ion mass.
Authors:
ORCiD logo [1] ; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-16-23720
Journal ID: ISSN 1070-664X; TRN: US1800647
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 12; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24); USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Magnetic Fusion Energy; Bohm criterion; electron heat flux; Plasma sheaths; Plasma temperature; Speed of sound; Plasma flows; Anisotropy
OSTI Identifier:
1414121

Tang, Xianzhu, and Guo, Zehua. Critical role of electron heat flux on Bohm criterion. United States: N. p., Web. doi:10.1063/1.4971808.
Tang, Xianzhu, & Guo, Zehua. Critical role of electron heat flux on Bohm criterion. United States. doi:10.1063/1.4971808.
Tang, Xianzhu, and Guo, Zehua. 2016. "Critical role of electron heat flux on Bohm criterion". United States. doi:10.1063/1.4971808. https://www.osti.gov/servlets/purl/1414121.
@article{osti_1414121,
title = {Critical role of electron heat flux on Bohm criterion},
author = {Tang, Xianzhu and Guo, Zehua},
abstractNote = {Bohm criterion, originally derived for an isothermal-electron and cold-ion plasma, is often used as a rule of thumb for more general plasmas. Here, we establish a more precise determination of the Bohm criterion that are quantitatively useful for understanding and modeling collisional plasmas that still have collisional mean-free-path much greater than plasma Debye length. Specifically, it is shown that electron heat flux, rather than the isothermal electron assumption, is what sets the Bohm speed to be $\sqrt{k_B(T_e||+3T_i||)/m_i}$ with Te,i∥ the electron and ion parallel temperature at the sheath entrance and mi the ion mass.},
doi = {10.1063/1.4971808},
journal = {Physics of Plasmas},
number = 12,
volume = 23,
place = {United States},
year = {2016},
month = {12}
}