Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - A linear collision operator for relativistic plasmas.
AU - Noble, Adam
AU - Burton, David A.
PY - 2011/3/14
Y1 - 2011/3/14
N2 - 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.
AB - 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.
U2 - 10.1088/1751-8113/44/14/145502
DO - 10.1088/1751-8113/44/14/145502
M3 - Journal article
VL - 44
SP - 145502
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 14
ER -