Electron cyclotron drift instability and anomalous transport: two-fluid moment theory and modeling

Abstract

In the presence of a strong electric field perpendicular to the magnetic field, the electron cross-field (E$\times$B) flow relative to the unmagnetized ions can cause the Electron Cyclotron Drift Instability (ECDI) due to resonances of the ion acoustic mode and the electron cyclotron harmonics. This occurs in collisionless shock ramps in space, and in $\mathrm{E}\times \mathrm{B}$ discharge devices such as Hall thrusters. ECDI can induce an electron flow parallel to the background E field at a speed greatly exceeding predictions by classical collision theory. Such anomalous transport may lead to particle thermalization at space shocks, and may cause unfavorable plasma flows towards the walls of E$\times$B devices. The development of ECDI and anomalous transport is often considered fully-kinetic. In this work, however, we demonstrate that a reduced variant of this instability, and more importantly, the associated anomalous transport, can be treated self-consistently in a two-fluid framework without any collision. By treating electrons and ions on an equal footing, the free energy allows the growth of an anomalous electron flow parallel to the background E field. We first present linear analyses of the instability in the two-fluid 5- and 10-moment models, and compare them against the fully-kinetic theory. At lower temperatures, the two-fluid fastest-growing mode is in good agreement with the kinetic result. Also, by including more ($>=10$) moments, secondary (and possibly higher) unstable branches can be recovered. The dependence of the instability on various parameters is also explored. We then carry out direct numerical simulations of the cross-field setup using the 5-moment model. The growth of the instability and the anomalous transport is confirmed. Finally, 5-moment and Vlasov simulations using identical parameters in the lower-temperature regime are performed, showing reasonable agreement.

arXiv comment17 pages, 11 pages

References in corpus (23)

• Discontinuous Galerkin algorithms for fully kinetic plasmas
• Evolution of the electron cyclotron drift instability in two-dimensions
• Nonlinear structures and anomalous transport in partially magnetized $\mathbf{E}\times \mathbf{B}$ plasmas
• Comparison of multi-fluid moment models with Particle-in-Cell simulations of collisionless magnetic reconnection
• Global Ten-Moment Multifluid Simulations of the Solar Wind Interaction with Mercury: From the Planetary Conducting Core to the Dynamic Magnetosphere
• Continuum Kinetic and Multi-Fluid Simulations of Classical Sheaths
• Electron Physics in 3D Two-Fluid Ten-Moment Modeling of Ganymede's Magnetosphere
• The island coalescence problem: scaling of reconnection in extended fluid models including higher-order moments
• Exact and Locally Implicit Source Term Solvers for Multifluid-Maxwell Systems
• Temperature gradient driven heat flux closure in fluid simulations of collisionless reconnection
• Nonlinear saturation of the Weibel instability
• PDRF: A General Dispersion Relation Solver for Magnetized Multi-Fluid Plasma
• Data-driven, multi-moment fluid modeling of Landau damping
• Drift instabilities in thin current sheets using a two-fluid model with pressure tensor effects
• An asymptotic preserving well-balanced scheme for the isothermal fluid equations in low-temperature plasma applications
• The Rapid Variability of Electric Field Waves within and near interplanetary shock ramps: STEREO Observations
• Using the maximum entropy distribution to describe electrons in reconnecting current sheets
• An extended MHD study of the 16 October 2015 MMS diffusion region crossing
• Identification of high order closure terms from fully kinetic simulations using machine learning
• 14-moment maximum-entropy modelling of collisionless ions for Hall thruster discharges
• Role of electron inertia and electron/ion finite Larmor radius effects in low-beta, magneto-Rayleigh-Taylor instability
• Fluid Simulations of Three-Dimensional Reconnection that Capture the Lower-Hybrid Drift Instability
• Collisionless ion modeling in Hall thrusters: analytical axial velocity distribution function and heat flux closures