Finite-dimensional collisionless kinetic theory

Kinetic Vlasov Simulations of collisionless magnetic Reconnection

A fully kinetic Vlasov simulation of the Geospace Environment Modeling (GEM) Magnetic Reconnection Challenge is presented. Good agreement is found with previous kinetic simulations using particle in cell (PIC) codes, confirming both the PIC and the Vlasov code. In the latter the complete distribution functions fk (k = i, e) are discretised on a numerical grid in phase space. In contrast to PIC ...

Kinetic theory and simulation of collisionless tearing in bifurcated current sheets

Observations from the Earth’s geomagnetic tail have established that the current sheet is often bifurcated with two peaks in the current density. These so-called bifurcated current sheets have also been reported in a variety of simulations and often occur in conjunction with significant temperature anisotropy. In this work, a new self-consistent Vlasov equilibrium is developed that permits both...

Representation theory of finite dimensional algebras

Mathematical Control Theory : Deterministic Finite - Dimensional Systems

The title of this book gives a very good description of its contents and style, although I might have added “Introduction to” at the beginning. The style is mathematical: precise, clear statements (i.e., theorems) are asserted, then carefully proved. The book covers many of the key topics in control theory, except — as the subtitle has warned us — those involving stochastic processes or infinit...

GPU Accelerated Direct Kinetic Simulation Code for Collisionless Plasma Expansion

Collisionless plasma expansion is a fundamental physics problem in plasma science and has great impacts on engineering applications, such as fusion and electric propulsion. Though much more computationally expensive, the kinetic approaches are required for both electrons and ions in order to accurately solve the collisionless plasma problems. The gridbased direct kinetic simulation code with GP...