@article{025c91fc18134c8685a2aac54834eab5,
title = "Electromagnetic zonal flow residual responses",
abstract = "The collisionless axisymmetric zonal flow residual calculation for a tokamak plasma is generalized to include electromagnetic perturbations. We formulate and solve the complete initial value zonal flow problem by retaining the fully self-consistent axisymmetric spatial perturbations in the electric and magnetic fields. Simple expressions for the electrostatic, shear and compressional magnetic residual responses are derived that provide a fully electromagnetic test of the zonal flow residual in gyrokinetic codes. Unlike the electrostatic potential, the parallel vector potential and the parallel magnetic field perturbations need not relax to flux functions for all possible initial conditions.",
keywords = "fusion plasma, magnetized plasmas, plasma dynamics",
author = "Catto, {Peter J.} and Parra, {Felix I.} and Istv{\'a}n Pusztai",
note = "Funding Information: Work supported by US Department of Energy grants at DE-FG02-91ER-54109 at MIT. I.P. is supported by the Intenational Career Grant (Dnr. 330-2014-631) of Vetenskapsr{\aa}det, and Marie Sklodowska Curie Actions, Cofund, Project INCA 600398. This research topic was suggested to the authors by A. Schekochihin of Oxford in March of 2013 while we all enjoyed the hospitality and support of the Wolfgang Pauli Institute in Vienna, Austria. Fortunately, our friendship has survived in spite of that seemingly harmless suggestion. Indeed, P.J.C. is indebted to Alex for accommodations and hospitality at Merton College during subsequent collaborative visits to the Rudolf Peierls Centre for Theoretical Physics at Oxford University in 2016 and 2017. In addition, the authors collaborated during the Gyrokinetic Theory Working Group Meeting 2016 in Madrid in September. Publisher Copyright: {\textcopyright} 2017 Cambridge University Press.",
year = "2017",
month = aug,
day = "1",
doi = "10.1017/S0022377817000472",
language = "English (US)",
volume = "83",
journal = "Journal of Plasma Physics",
issn = "0022-3778",
publisher = "Cambridge University Press",
number = "4",
}