RT Journal Article T1 Local analysis of electrostatic modes in a two-fluid E × B plasma A1 Ramos, Jesús J. A1 Bello-Benítez, Enrique A1 Ahedo Galilea, Eduardo Antonio AB A local study of linear electrostatic modes, applicable to the dynamics perpendicular to the magnetic field in a plasma with crossed electric and magnetic fields, is presented. The analysis is based on a two-fluid model that takes into account the finite-electron-gyroradius effectsthrough a rigorous gyroviscosity tensor and includes a dissipative friction force in the electron momentum equation. A comprehensive dispersion relation, valid for arbitrary electron temperature, is derived, which describes properly all the relevant waves for wavelengths longer than the electron Larmor radius. For a homogeneous and dissipationless plasma, such a fluid dispersion relation agrees with the long-wavelength limit of the kinetic electron–cyclotron-drift instability dispersion relation that extends the results to arbitrary short wavelengths.The general fluid dispersion relation covers different parametric regimes that depend on the relative ion-to-electron drift velocity and on thepresence of equilibrium inhomogeneities and/or dissipation. Depending on such conditions, its roots yield as follows: two-stream instabilities,driven solely by the relative drift between species; drift-gradient instabilities, driven by the combination of the relative drift and equilibriumgradients; and drift-dissipative instabilities, driven by the combination of the relative drift and friction. Instability thresholds aredetermined and some distinctive unstable modes are described analytically. PB AIP Publishing SN 1070-664X YR 2021 FD 2021-05-26 LK https://hdl.handle.net/10016/32963 UL https://hdl.handle.net/10016/32963 LA eng NO This research was funded mainly by the Comunidad de Madrid (Spain), under PROMETEO-CM project, with Grant No. Y2018/NMT-4750. Enrique Bello-Benítez is supported by Spain's Ministerio de Ciencia, Innovación y Universidades, under Grant No. FPU18/03686. Jesús Ramos and Eduardo Ahedo acknowledge support by the ESPEOS project, funded by the Agencia Estatal de Investigación (Spain's National Research and Development Plan), under Grant No. PID2019-108034 RB-I00/AEI/10.13039/501100011033. DS e-Archivo RD 1 sept. 2024