Nonlinear Landau Damping in Spherically Symmetric Vlasov Poisson Systems

✍ Scribed by Claus Heerlein; Günter Zwicknagel

• Book ID: 102583831
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 107 KB
• Volume: 180
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.2002.7096

✦ Synopsis

The Vlasov Poisson system is a partial differential equation widely used to describe collisionless plasma. It is formulated in a six-dimensional phase space, this prohibits a numerical solution on a complete phase space grid. In some applications, however, spherical symmetry is given, which introduces singularities into the Vlasov Poisson equation. We focus on such problems and propose a stable algorithm using accommodating boundaries. At first, the method is tested in the linear regime, where analytical solutions are available. Thereafter it is applied to large disturbances from equilibrium.