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Many linear stability aspects in plasmas are heavily influenced by non-idealeffects beyond the basic ideal magnetohydrodynamics (MHD) description. Here,the extension of the modern open-source MHD spectroscopy code Legolas withviscosity and the Hall current is highlighted and benchmarked on a stringentset of historic and recent findings. The viscosity extension is demonstrated ina cylindrical setup featuring Taylor-Couette flow and in a viscoresistiveplasma slab with a tearing mode. For the Hall extension, we show how the fulleigenmode spectrum relates to the analytic dispersion relation in an infinitehomogeneous medium. We quantify the Hall term influence on the resistivetearing mode in a Harris current sheet, including the effect ofcompressibility, which is absent in earlier studies. Furthermore, we illustratehow Legolas mimics the incompressible limit easily to compare to literatureresults. Going beyond published findings, we emphasise the importance ofcomputing the full eigenmode spectrum, and how elements of the spectrum aremodified by compressibility. These extensions allow for future stabilitystudies with Legolas that are relevant to ongoing dynamo experiments,protoplanetary disks, or magnetic reconnection.

Legolas: magnetohydrodynamic spectroscopy with viscosity and Hall current