The fully kinetic Biermann battery and associated generation of pressure anisotropy

Abstract

The dynamical evolution of a fully kinetic, collisionless system with imposed background density and temperature gradients is investigated analytically. The temperature gradient leads to the generation of temperature anisotropy, with the temperature along the gradient becoming larger than that in the direction perpendicular to it. This causes the system to become unstable to pressure anisotropy driven instabilities, dominantly to electron Weibel. When both density and temperature gradients are present and non-parallel to each other, we obtain a Biermann-like linear in time magnetic field growth. Accompanying particle in cell numerical simulations are shown to confirm our analytical results.

arXiv comment5 pages, 2 figures, + Supplementary materials (4 pages, 2 figures )

References in corpus (10)

• On the Origin of Cosmic Magnetic Fields
• One-to-one direct modeling of experiments and astrophysical scenarios: pushing the envelope on kinetic plasma simulations
• Pressure anisotropy and small spatial scales induced by velocity shear
• Precision mapping of laser-driven magnetic fields and their evolution in high-energy-density plasmas
• Suppression of electron thermal conduction in the high $\beta$ intracluster medium of galaxy clusters
• Magnetic field generation and amplification in an expanding plasma
• The generation of magnetic fields by the Biermann battery and the interplay with the Weibel instability
• Pressure tensor in the presence of velocity shear: stationary solutions and self-consistent equilibria
• Pressure anisotropy generation in a magnetized plasma configuration with a shear flow velocity
• General kinetic solution for the Biermann battery with an associated pressure anisotropy generation

Cited by in corpus (4)

• Interplay between the Weibel instability and the Biermann battery in realistic laser-solid interactions
• Noise-Induced Magnetic Field Saturation in Kinetic Simulations
• The inadequacy of a magnetohydrodynamic approach to the Biermann Battery
• Mapping the self-generated magnetic fields due to thermal Weibel instability