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A linear collision operator for relativistic plasmas.

Research output: Contribution to journalJournal article

Published

Journal publication date14/03/2011
JournalJournal of Physics -London- a Mathematical and General
Journal number14
Volume44
Pages145502
Original languageEnglish

Abstract

Generalizing the work of Lenard and Bernstein, we introduce a new, fully relativistic model to describe collisional plasmas. Like the Fokker–Planck operator, this equation represents velocity diffusion and conserves particle number. However, unlike the Fokker–Planck operator, it is linear in the distribution function, and so more amenable to a fluid treatment. By taking moments, we derive a new fluid model together with a hierarchy of closure schemes, and demonstrate the damping effects of collisions on Langmuir waves in cold and warm plasmas.