We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > A linear collision operator for relativistic pl...
View graph of relations

« Back

A linear collision operator for relativistic plasmas.

Research output: Contribution to journalJournal article


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


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.