AUTHOR=Arber T. D. , Goffrey T. , Ridgers C. 

TITLE=Models of thermal conduction and non-local transport of relevance to space physics with insights from laser–plasma theory

JOURNAL=Frontiers in Astronomy and Space Sciences

VOLUME=Volume 10 - 2023

YEAR=2023

URL=https://www.frontiersin.org/journals/astronomy-and-space-sciences/articles/10.3389/fspas.2023.1155124

DOI=10.3389/fspas.2023.1155124

ISSN=2296-987X

ABSTRACT=Models of solar and space plasmas require an accurate model for thermal transport. 
The simplest such model is to assume that the fluid approach is valid and local transport models can
be used. These local transport coefficients
are derived under the assumption that the electron mean-free-path is "small" compared to the temperature
scale-length. When this approximation breaks down non-local transport models or thermal flux-limiters
must be used to maintain a physically realistic model. This article will review the background theory,
how small is "small" for the mean-free-path and what options there are for including non-local transport
within the fluid framework. Much of this recent work has been motivated by laser-plasma theory  
where mean-free-paths can be large and Spitzer-Harm is never used.