Self-consistent, nonlocal electron heat flux at arbitrary ion charge number

A single, nonlocal expression for the electron heat flux, which closely reproduces known results at high and low ion charge number Z, and "exact" results for the local limit at all Z, is derived by solving the kinetic equation in a narrow, tail-energy range. The solution involves asymptoti...

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Autores principales: Sanmartín, J.R., Ramírez, J., Fernández-Feria, R., Minotti, F.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_08998221_v4_n11_p3579_Sanmartin
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_08998221_v4_n11_p3579_Sanmartin2023-10-03T15:44:07Z Self-consistent, nonlocal electron heat flux at arbitrary ion charge number Sanmartín, J.R. Ramírez, J. Fernández-Feria, R. Minotti, F. A single, nonlocal expression for the electron heat flux, which closely reproduces known results at high and low ion charge number Z, and "exact" results for the local limit at all Z, is derived by solving the kinetic equation in a narrow, tail-energy range. The solution involves asymptotic expansions of Bessel functions of large argument, and (Z-dependent) order above or below it, corresponding to the possible parabolic or hyperbolic character of the kinetic equation; velocity space diffusion in self-scattering is treated similarly to isotropic thermalization of tail energies in large Z analyses. The scale length H characterizing nonlocal effects varies with Z, suggesting an equal dependence of any ad hoc flux limiter. The model is valid for all H above the mean-free path for thermal electrons. © 1992 American Institute of Physics. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_08998221_v4_n11_p3579_Sanmartin
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A single, nonlocal expression for the electron heat flux, which closely reproduces known results at high and low ion charge number Z, and "exact" results for the local limit at all Z, is derived by solving the kinetic equation in a narrow, tail-energy range. The solution involves asymptotic expansions of Bessel functions of large argument, and (Z-dependent) order above or below it, corresponding to the possible parabolic or hyperbolic character of the kinetic equation; velocity space diffusion in self-scattering is treated similarly to isotropic thermalization of tail energies in large Z analyses. The scale length H characterizing nonlocal effects varies with Z, suggesting an equal dependence of any ad hoc flux limiter. The model is valid for all H above the mean-free path for thermal electrons. © 1992 American Institute of Physics.
format JOUR
author Sanmartín, J.R.
Ramírez, J.
Fernández-Feria, R.
Minotti, F.
spellingShingle Sanmartín, J.R.
Ramírez, J.
Fernández-Feria, R.
Minotti, F.
Self-consistent, nonlocal electron heat flux at arbitrary ion charge number
author_facet Sanmartín, J.R.
Ramírez, J.
Fernández-Feria, R.
Minotti, F.
author_sort Sanmartín, J.R.
title Self-consistent, nonlocal electron heat flux at arbitrary ion charge number
title_short Self-consistent, nonlocal electron heat flux at arbitrary ion charge number
title_full Self-consistent, nonlocal electron heat flux at arbitrary ion charge number
title_fullStr Self-consistent, nonlocal electron heat flux at arbitrary ion charge number
title_full_unstemmed Self-consistent, nonlocal electron heat flux at arbitrary ion charge number
title_sort self-consistent, nonlocal electron heat flux at arbitrary ion charge number
url http://hdl.handle.net/20.500.12110/paper_08998221_v4_n11_p3579_Sanmartin
work_keys_str_mv AT sanmartinjr selfconsistentnonlocalelectronheatfluxatarbitraryionchargenumber
AT ramirezj selfconsistentnonlocalelectronheatfluxatarbitraryionchargenumber
AT fernandezferiar selfconsistentnonlocalelectronheatfluxatarbitraryionchargenumber
AT minottif selfconsistentnonlocalelectronheatfluxatarbitraryionchargenumber
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