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@article{Ridgers:2021:10.1098/rsta.2020.0017,
author = {Ridgers, CP and Arran, C and Bissell, JJ and Kingham, RJ},
doi = {10.1098/rsta.2020.0017},
journal = {PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES},
pages = {1--13},
title = {The inadequacy of a magnetohydrodynamic approach to the Biermann battery},
url = {http://dx.doi.org/10.1098/rsta.2020.0017},
volume = {379},
year = {2021}
}

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TY  - JOUR
AB  - Magnetic fields can be generated in plasmas by the Biermann battery when the electric field produced by the electron pressure gradient has a curl. The commonly employed magnetohydrodynamic (MHD) model of the Biermann battery breaks down when the electron distribution function is distorted away from Maxwellian. Using both MHD and kinetic simulations of a laser-plasma interaction relevant to inertial confinement fusion we have shown that this distortion can reduce the Biermann-producing electric field by around 50%. More importantly, the use of a flux limiter in an MHD treatment to deal with the effect of the non-Maxwellian electron distribution on electron thermal transport leads to a completely unphysical prediction of the Biermann-producing electric field and so results in erroneous predictions for the generated magnetic field.
AU  - Ridgers,CP
AU  - Arran,C
AU  - Bissell,JJ
AU  - Kingham,RJ
DO  - 10.1098/rsta.2020.0017
EP  - 13
PY  - 2021///
SN  - 1364-503X
SP  - 1
TI  - The inadequacy of a magnetohydrodynamic approach to the Biermann battery
T2  - PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
UR  - http://dx.doi.org/10.1098/rsta.2020.0017
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000598829700003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://royalsocietypublishing.org/doi/10.1098/rsta.2020.0017
UR  - http://hdl.handle.net/10044/1/85736
VL  - 379
ER  -

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