Plasma transport by carrier electrons: delocalization length for heat-flux
Abstract
The delocalization length λd=λei Z/√(Z+4.45) is an improved heat-flux non-locality metric accounting for the localizing effect of electron-electron collisions on the electron population carrying heat-flux. Magnetization also localizes the carrier electrons; the delocalization Hall parameter ψd=13.5 χZ/(Z+4.62) shows that this occurs at a faster rate than magnetization of thermal conductivity (ψκ= 9.94χ(Z+0.17)/(Z+5.88)). The traditional Knudsen number, which uses the electron-ion mean-free path, does not fairly represent non-locality across ionization and magnetization; Knd = 8.28λd⊥/LT should instead be used. The kinetic understanding of the three magnetized heat-flux components is unified in the linear regime with a full electron-electron collision operator and a converged harmonic expansion of the electron distribution (up to f6). Righi-Leduc heat-flux is found to delocalize easier than its perpendicular counterpart, due to its carriers being higher energy electrons. This approach lays the groundwork for a consistent treatment of the kinetically-modified induction equation.
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BibTeX
@misc{walsh2026plasma,
title = {{Plasma transport by carrier electrons: delocalization length for heat-flux}},
author = {C. A. Walsh},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32085},
eprint = {2610.32085},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32085},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Plasma transport by carrier electrons: delocalization length for heat-flux
AU - C. A. Walsh
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32085
UR - https://arxiv.org/abs/2610.32085
AB - The delocalization length λ_d=λ_ei Z/√(Z+4.45) is an improved heat-flux non-locality metric accounting for the localizing effect of electron-electron collisions on the electron population carrying heat-flux. Magnetization also localizes the carrier electrons; the delocalization Hall parameter ψ_d=13.5 χZ/(Z+4.62) shows that this occurs at a faster rate than magnetization of thermal conductivity (ψ_κ= 9.94χ(Z+0.17)/(Z+5.88)). The traditional Knudsen number, which uses the electron-ion mean-free path, does not fairly represent non-locality across ionization and magnetization; Kn_d = 8.28λ_d⊥/L_T should instead be used. The kinetic understanding of the three magnetized heat-flux components is unified in the linear regime with a full electron-electron collision operator and a converged harmonic expansion of the electron distribution (up to f_6). Righi-Leduc heat-flux is found to delocalize easier than its perpendicular counterpart, due to its carriers being higher energy electrons. This approach lays the groundwork for a consistent treatment of the kinetically-modified induction equation.
ER -