Singular limits for plasmas with thermalised electrons

Sunday, 1 March, 2020

Published in: 

Journal de Mathématiques Pures et Appliquées Vol 135, 03 2020, 199-255

This work is concerned with the study of singular limits for the Vlasov-Poisson system in the case of massless electrons (VPME), which is a kinetic system modelling the ions in a plasma. Our objective is threefold: first, we provide a mean field derivation of the VPME system in dimensions from a system of N extended charges. Secondly, we prove a rigorous quasineutral limit for initial data that are perturbations of analytic data, deriving the Kinetic Isothermal Euler (KIE) system from the VPME system in dimensions . Lastly, we combine these two singular limits in order to show how to obtain the KIE system from an underlying particle system.

Author(s): 

Megan Griffin-Pickering
Mikaela Iacobelli