Simulations of the Biermann battery mechanism in two-fluid partially ionised plasmas

Abstract

In the absence of an initial seed, the Biermann battery term of a non-ideal induction equation acts as a source that generates weak magnetic fields. These fields are then amplified via a dynamo mechanism. The Kelvin-Helmholtz instability is a fluid phenomenon that takes place in many astrophysical scenarios and can trigger the action of the Biermann battery and dynamo processes. We aim to investigate the effect that the ionisation degree of the plasma and the interaction between the charged and neutral species have on the generation and amplification of magnetic fields during the different stages of the instability. We use the two-fluid model implemented in the numerical code Mancha-2F. We perform 2D simulations starting from a configuration with no initial magnetic field and which is unstable due to a velocity shear. We vary the ionisation degree of the plasma and we analyse the role that the different collisional terms included in the equations of the model play on the evolution of the instability and the generation of magnetic field. We find that when no collisional coupling is considered between the two fluids, the effect of the Biermann battery mechanism does not depend on the ionisation degree. However, when elastic collisions are taken into account, the generation of magnetic field is increased as the ionisation degree is reduced. This behaviour is slightly enhanced if the process of charge-exchange is also considered. We also find a dependence on the total density of the plasma related to the dependence on the coupling degree between the two fluids. As the total density is increased, the results from the two-fluid model converge to the predictions of single-fluid models.

arXiv comment20 pages, 13 figures, 2 movies. Accepted for publication in Astronomy & Astrophysics

References in corpus (35)

• The Protogalactic Origin for Cosmic Magnetic Fields
• On the Origin of Cosmic Magnetic Fields
• Generation of the Primordial Magnetic Fields during Cosmological Reionization
• The First Magnetic Fields
• Partially Ionized Plasmas in Astrophysics
• Magnetohydrodynamic waves in solar partially ionized plasmas: two-fluid approach
• Instabilities and Clumping in Type Ia Supernova Remnants
• Growth and saturation of the Kelvin-Helmholtz instability with parallel and anti-parallel magnetic fields
• Fluid description of multi-component solar partially ionized plasma
• Collisional dissipation of Alfvén waves in a partially ionised solar chromosphere
• Three-Dimensional Relativistic MHD Simulations of the Kelvin-Helmholtz Instability: Magnetic Field Amplification by a Turbulent Dynamo
• Magneto-acoustic waves in sunspots: first results from a new 3D nonlinear magnetohydrodynamic code
• Spectra and Growth Rates of Fluctuating Magnetic Fields in the Kinematic Dynamo Theory with Large Magnetic Prandtl Numbers
• Magnetic Reconnection in a Weakly Ionized Plasma
• Dynamics of coronal rain and descending plasma blobs in solar prominences: II. partially ionized case
• Stability of rotating magnetized jets in the solar atmosphere. I. Kelvin-Helmholtz instability
• Alfven waves in a partially ionized two-fluid plasma
• Two-fluid simulations of waves in the solar chromosphere I: numerical code verification
• Transverse Wave Induced Kelvin-Helmholtz Rolls in Spicules
• The effect of the Coriolis force on Kelvin-Helmholtz-driven mixing in protoplanetary disks
• Kelvin-Helmholtz instability in partially ionized compressible plasmas
• An introductory guide to fluid models with anisotropic temperatures Part 1 -- CGL description and collisionless fluid hierarchy
• Numerical simulations of quiet Sun magnetic fields seeded by Biermann battery
• MHDSTS: a new explicit numerical scheme for simulations of partially ionised solar plasma
• Two-fluid simulations of waves in the solar chromosphere II. Propagation and damping of fast magneto-acoustic waves and shocks
• On the Kelvin-Helmholtz instability with smooth initial conditions -- Linear theory and simulations
• Kelvin-Helmholtz Instability in a Weakly Ionized Medium
• Multi-fluid approach to high-frequency waves in plasmas. III. Nonlinear regime and plasma heating
• An introductory guide to fluid models with anisotropic temperatures Part 2 -- Kinetic theory, Padé approximants and Landau fluid closures
• Onset of the Kelvin-Helmholtz instability in partially ionized magnetic flux tubes
• Multi-fluid approach to high-frequency waves in plasmas: I. Small-amplitude regime in fully ionized medium
• Ion-neutral decoupling in the nonlinear Kelvin--Helmholtz instability: Case of field-aligned flow
• Kelvin-Helmholtz instability in a weakly ionized layer
• Evolution of magnetic field generated by the Kelvin-Helmholtz instability
• Can High-Mode Magnetohydrodynamic Waves Propagating in a Spinning Macrospicule Be Unstable due to the Kelvin--Helmholtz Instability?

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